Kaluza-Klein Reduction of a Quadratic Curvature Model
Baskal, S
2010-01-01
Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations which can be interpreted as the field equations and the stress-energy tensor. Unification of gravity with electromagnetism and the scalar dilaton field is achieved through the Kaluza-Klein dimensional reduction mechanism. The reduced curvature invariant, field equations and the stress-energy tensor in four dimensional spacetime are obtained. The structure of the interactions among the constituent fields is exhibited in detail. It is shown that the Lorentz force naturally emerges from the reduced field equations and the equations of the standard Kaluza-Klein theory is demonstrated to be intrinsically contained in this model.
Braneworld effective action An alternative to Kaluza-Klein reduction
Barvinsky, A O; Rathke, A; Kiefer, C; Barvinsky, Andrei; Kamenshchik, Alexander; Rathke, Andreas; Kiefer, Claus
2003-01-01
We construct the braneworld effective action in the two-brane Randall-Sundrum model in a setup alternative to Kaluza-Klein reduction: The action is written as a functional of the two metric and radion fields on the branes. In the low-energy spectrum of the model we find two - one massless and one massive - graviton modes, the mass of the massive mode diverging in the limit of merging branes. Our results confirm a recently proposed model of braneworld inflation with diverging branes. They also suggest the possibility of a new mechanism for a repulsive interbrane potential which can underlie the model of colliding "thick" branes in the Big Crunch/Big Bang transitions in cosmology. Mixing of the obtained massless and massive modes can be interpreted as radion-induced graviton oscillations potentially interesting for gravitational wave astronomy.
Kaluza-Klein reduction of relativistic fluids and their gravity duals
Di Dato, Adriana
2013-01-01
We study the hydrodynamics of relativistic fluids with several conserved global charges (i.e., several species of particles) by performing a Kaluza-Klein dimensional reduction of a neutral fluid on a N-torus. Via fluid/gravity correspondence, this allows us to describe the long-wavelength dynamics of black branes with several Kaluza-Klein charges. We obtain the equation of state and transport coefficients of the charged fluid directly from those of the higher-dimensional neutral fluid. We specialize these results for the fluids dual to Kaluza-Klein black branes.
Teleparallel Conformal Invariant Models induced by Kaluza-Klein Reduction
Geng, Chao-Qiang
2016-01-01
We study the extensions of teleparallism in the Kaluza-Klein (KK) scenario by writing the analogous form to the torsion scalar $T_{\\text{NGR}}$ in terms of the corresponding antisymmetric tensors, given by $T_{\\text{NGR}} = a\\,T_{ijk} \\, T^{ijk} + b\\,T_{ijk} \\,T^{kji} + c\\,T^{j}{}_{ji} \\, T^{k}{}_{k}{}^{i}$, in the four-dimensional New General Relativity (NGR) with arbitrary coefficients $a$, $b$ and $c$. After the KK dimensional reduction, the Lagrangian in the Einstein-frame can be realized by taking $2a+b+c=0$ with the ghost-free condition $c\\leq0$ for the one-parameter family of teleparallelism. We demonstrate that the conformal invariant gravity models can be constructed by the requirement of $2a+b+4c=0$ or $2a+b=0$. In particular, this conformal gravity is described on the Weyl-Cartan geometry $Y_4$ with the ghost-free condition $c>0$. We also consider the weak field approximation and discuss the non-minimal coupled term of the scalar current and torsion vector. For the conformal invariant models with $...
Thermodynamics, Euclidean Gravity and Kaluza-Klein Reduction
Fursaev, D V
2001-01-01
The aim of this paper is to find out a correspondence between one-loop effective action $W_E$ defined by means of path integral in Euclidean gravity and the free energy $F$ obtained by summation over the modes. The analysis is given for quantum fields on stationary space-times of a general form. For such problems a convenient procedure of a "Wick rotation" from Euclidean to Lorentzian theory becomes quite non-trivial implying transition from one real section of a complexified space-time manifold to another. We formulate conditions under which $F$ and $W_E$ can be connected and establish an explicit relation of these functionals. Our results are based on the Kaluza-Klein method which enables one to reduce the problem on a stationary space-time to equivalent problem on a static space-time in the presence of a gauge connection. As a by-product, we discover relation between the asymptotic heat-kernel coefficients of elliptic operators on a $D$ dimensional stationary space-times and the heat-kernel coefficients of...
The massive Kaluza-Klein monopole
Bergshoeff, E; Eyras, E; Lozano, Y
1998-01-01
We construct the (bosonic) effective worldvolume action of an M-theory Kaluza-Klein monopole in a background given by the bosonic sector of eleven-dimensional massive supergravity, i.e, a "massive Kaluza-Klein monopole". As a consistency check we show that the direct dimensional reduction along the
Quantum Kaluza-Klein Compactification
Sochichiu, C.
1999-01-01
Kaluza--Klein compactification in quantum field theory is analysed from the perturbation theory viewpoint. Renormalisation group analysis for compactification size dependence of the coupling constant is proposed.
Electroweak Kaluza-Klein Dark Matter
Flacke, Thomas; Kang, Dong Woo; Kong, Kyoungchul; Mohlabeng, Gopolang; Park, Seong Chan
2017-01-01
In models with universal extra dimensions (UED), the lightest Kaluza-Klein excitation of neutral electroweak gauge bosons is a stable, weakly interacting massive particle and thus is a candidate for dark matter thanks to Kaluza-Klein parity. We examine concrete model realizations of such dark matter in the context of non-minimal UED extensions. The boundary localized kinetic terms for the electroweak gauge bosons lead to a non-trivial mixing among the first Kaluza-Klein excitations of the ${\\...
Dimensional Reduction of the 5D Kaluza-Klein Geodesic Deviation Equation
Lacquaniti, V; Vietri, F; 10.1007/s10714-009-0853-3
2009-01-01
In the work of Kerner et al. (2001) the problem of the geodesic deviation in a 5D Kaluza Klein background is faced. The 4D space-time projection of the resulting equation coincides with the usual geodesic deviation equation in the presence of the Lorenz force, provided that the fifth component of the deviation vector satisfies an extra constraint which takes into account the $q/m$ conservation along the path. The analysis was performed setting as a constant the scalar field which appears in Kaluza-Klein model. Here we focus on the extension of such a work to the model where the presence of the scalar field is considered. Our result coincides with that of Kerner et al. when the minimal case $\\phi=1$ is considered, while it shows some departures in the general case. The novelty due to the presence of $\\phi$ is that the variation of the $q/m$ between the two geodesic lines is not conserved during the motion; an exact law for such a behaviour has been derived.
Kaluza-Klein theory for teleparallel gravity
Geng, Chao-Qiang; Luo, Ling-Wei; Tseng, Huan-Hsin
2014-01-01
We study teleparallel gravity in the \\emph{original} Kaluza-Klein (KK) scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar $^{(5)}T$ generates the non-Brans-Dicke type effective Lagrangian in 4-dimension due to an additional coupling between the derivative of the scalar field and torsion, but the result is equivalent to that in general relativity. We also discuss the cosmological behavior in the FLRW universe based on the effective teleparallel gravity.
Klein-Gordon oscillator in Kaluza-Klein theory
Carvalho, Josevi; Carvalho, Alexandre M. de M.; Cavalcante, Everton; Furtado, Claudio
2016-07-01
In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of the interaction between particles coupled harmonically with topological defects in Kaluza-Klein theory is studied. We consider a series of topological defects, then we treat the Klein-Gordon oscillator coupled to this background, and we find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein-Gordon oscillator interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case, the energy spectrum is determined, and we observe that these energy levels represent themselves as the sum of the terms related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime.
Phases of Kaluza-Klein black holes
DEFF Research Database (Denmark)
Elvang, Henriette; Obers, Niels; Harmark, Troels
2004-01-01
We review the latest progress in understanding the phase structure of static and neutral Kaluza-Klein black holes, i.e. static and neutral solutions of pure gravity with an event horizon and with asymptotics Md × S1, Md being d-dimensional Minkowski space.......We review the latest progress in understanding the phase structure of static and neutral Kaluza-Klein black holes, i.e. static and neutral solutions of pure gravity with an event horizon and with asymptotics Md × S1, Md being d-dimensional Minkowski space....
Phases of Kaluza-Klein black holes
DEFF Research Database (Denmark)
Elvang, Henriette; Obers, Niels; Harmark, Troels
2004-01-01
We review the latest progress in understanding the phase structure of static and neutral Kaluza-Klein black holes, i.e. static and neutral solutions of pure gravity with an event horizon and with asymptotics Md × S1, Md being d-dimensional Minkowski space.......We review the latest progress in understanding the phase structure of static and neutral Kaluza-Klein black holes, i.e. static and neutral solutions of pure gravity with an event horizon and with asymptotics Md × S1, Md being d-dimensional Minkowski space....
Charged rotating dilaton black holes with Kaluza-Klein asymptotics
Knoll, Christian; Nedkova, Petya
2016-03-01
We construct a class of stationary and axisymmetric solutions to the five-dimensional Einstein-Maxwell-dilaton gravity, which describe configurations of charged rotating black objects with Kaluza-Klein asymptotics. The solutions are constructed by uplifting a vacuum seed solution to six dimensions, performing a boost and a subsequent circle reduction. We investigate the physical properties of the charged solutions and obtain their general relations to the properties of the vacuum seed. We also derive the gyromagnetic ratio and the Smarr-like relations. As particular cases, we study three solutions, which describe a charged rotating black string, a charged rotating black ring on Kaluza-Klein bubbles, and a superposition of two black holes and a Kaluza-Klein bubble.
Electroweak Kaluza-Klein Dark Matter
Energy Technology Data Exchange (ETDEWEB)
Flacke, Thomas [IBS, Daejeon; Kang, Dong Woo [Sungkyunkwan U.; Kong, Kyoungchul [Pittsburgh U.; Mohlabeng, Gopolang [U. Kansas, Lawrence; Park, Seong Chan [Korea Inst. Advanced Study, Seoul
2017-02-09
In models with universal extra dimensions (UED), the lightest Kaluza-Klein excitation of neutral electroweak gauge bosons is a stable, weakly interacting massive particle and thus is a candidate for dark matter thanks to Kaluza-Klein parity. We examine concrete model realizations of such dark matter in the context of non-minimal UED extensions. The boundary localized kinetic terms for the electroweak gauge bosons lead to a non-trivial mixing among the first Kaluza-Klein excitations of the ${\\rm SU}(2)_W$ and ${\\rm U}(1)_Y$ gauge bosons and the resultant low energy phenomenology is rich. We investigate implications of various experiments including low energy electroweak precision measurements, direct and indirect detection of dark matter particles and direct collider searches at the LHC. Notably, we show that the electroweak Kaluza-Klein dark matter can be as heavy as 2.4 TeV, which is significantly higher than $1.3$ TeV as is indicated as an upper bound in the minimal UED model.
On the Stability of Squashed Kaluza-Klein Black Holes
Kimura, Masashi; Murata, Keiju; Ishihara, Hideki; Soda, Jiro
2007-01-01
The stability of squashed Kaluza-Klein black holes is studied. The squashed Kaluza-Klein black hole looks like five dimensional black hole in the vicinity of horizon and four dimensional Minkowski spacetime with a circle at infinity. In this sense, squashed Kaluza-Klein black holes can be regarded as black holes in the Kaluza-Klein spacetimes. Using the symmetry of squashed Kaluza-Klein black holes, $SU(2)\\times U(1)\\simeq U(2)$, we obtain master equations for a part of the metric perturbatio...
Topology change from Kaluza-Klein dimensions
Ionicioiu, R
1997-01-01
In this letter we show that in a Kaluza-Klein framework we can have arbitrary topology change between the macroscopic (i.e. noncompactified) spacelike 3-hypersurfaces. This is achieved by using the compactified dimensions as a catalyser for topology change. In the case of odd-dimensional spacetimes (such as the 11-dimensional M-theory) this is always possible. In the even-dimensional case, a sufficient condition is the existence of a closed, odd-dimensional manifold as a factor (such as S^1, S^3) in the Kaluza-Klein sector. Since one of the most common manifolds used for compactification is the torus T^k = S^1 \\times ... \\times S^1, in this case we can again induce an arbitrary topology change on the 3-hypersurfaces.
Phases of Kaluza-Klein Black Holes
DEFF Research Database (Denmark)
Harmark, Troels; Obers, N. A.
2005-01-01
We review the latest progress in understanding the phase structure of static and neutral Kaluza-Klein black holes, i.e. static and neutral solutions of pure gravity with an event horizon that asymptote to a d-dimensional Minkowski-space times a circle. We start by reviewing the (mu,n) phase diagram...... and the split-up of the phase structure into solutions with an internal SO(d-1) symmetry and solutions with Kaluza-Klein bubbles. We then discuss the uniform black string, non-uniform black string and localized black hole phases, and how those three phases are connected, involving issues such as classical...... instability and horizon-topology changing transitions. Finally, we review the bubble-black hole sequences, their place in the phase structure and interesting aspects such as the continuously infinite non-uniqueness of solutions for a given mass and relative tension....
Cosmological applications in Kaluza-Klein theory
Institute of Scientific and Technical Information of China (English)
M. I. Wanas; Gamal G. L. Nashed; A. A. Nowaya
2012-01-01
The field equations of Kaluza-Klein (KK) theory have been applied in the domain of cosmology.These equations are solved for a flat universe by taking the gravitational and the cosmological constants as a function of time t.We use Taylor's expansion of cosmological function,△(t),up to the first order of the time t.The cosmological parameters are calculated and some cosmological problems are discussed.
Cosmological applications in Kaluza-Klein theory
Wanas, M I; Nowaya, A A
2011-01-01
The field equations of Kaluza-Klein (KK) theory have been applied in the domain of cosmology. These equations are solved for a flat universe by taking the gravitational and the cosmological constants as a function of time t. We use Taylor's expansion of cosmological function, $\\Lambda(t)$, up to the first order of the time $t$. The cosmological parameters are calculated and some cosmological problems are discussed.
Rotating cylindrically symmetric Kaluza-Klein ﬂuid model
Indian Academy of Sciences (India)
Ramesh Tikekar; L K Patel
2000-09-01
Kaluza-Klein ﬁeld equations for stationary cylindrically symmetric ﬂuid models in standard Einstein theory are formulated and a set of physically viable solutions is reported. This set is believed to be the ﬁrst such Kaluza-Klein solutions and it includes the Kaluza-Klein counterpart of Davidson’s solution describing spacetime of a perfect ﬂuid in rigid rotation about a regular axis.
Newton-Cartan, Galileo-Maxwell and Kaluza-Klein
Bleeken, Dieter Van den
2015-01-01
We study Kaluza-Klein reduction in Newton-Cartan gravity. In particular we show that dimensional reduction and the nonrelativistic limit commute. The resulting theory contains Galilean electromagnetism and a nonrelativistic scalar. It provides the first example of back-reacted couplings of scalar and vector matter to Newton-Cartan gravity. This back-reaction is interesting as it sources the spatial Ricci curvature, providing an example where nonrelativistic gravity is more than just a Newtonian potential.
Newton-Cartan, Galileo-Maxwell and Kaluza-Klein
Van den Bleeken, Dieter; Yunus, Çağin
2016-07-01
We study Kaluza-Klein reduction in Newton-Cartan gravity. In particular we show that dimensional reduction and the nonrelativistic limit commute. The resulting theory contains Galilean electromagnetism and a nonrelativistic scalar. It provides the first example of back-reacted couplings of scalar and vector matter to Newton-Cartan gravity. This back-reaction is interesting as it sources the spatial Ricci curvature, providing an example where nonrelativistic gravity is more than just a Newtonian potential.
On some developments in the Nonsymmetric Kaluza-Klein Theory
Energy Technology Data Exchange (ETDEWEB)
Kalinowski, M.W. [Warsaw University, Faculty of Physics, Warsaw (Poland); Pracownia Bioinformatyki, Instytut Medycyny Doswiadczalnej i Klinicznej PAN, Warszawa (Poland)
2014-03-15
We consider a condition for charge confinement and gravito-electromagnetic wave solutions in nonsymmetric Kaluza-Klein theory. We consider also the influence of the cosmological constant on a static, spherically symmetric solution. We remind the reader of some fundamentals of nonsymmetric Kaluza-Klein theory and the geometrical background behind the theory. Simultaneously we make some remarks concerning a misunderstanding connected to several notions of Kaluza-Klein Theory, Einstein Unified Field Theory, geometrization and unification of physical interactions. We reconsider the Dirac field in nonsymmetric Kaluza-Klein theory. (orig.)
On some developments in the Nonsymmetric Kaluza-Klein Theory
Kalinowski, M W
2014-01-01
We consider a condition for a charge confinement and gravito-electromagnetic wave solutions in the Nonsymmetric Kaluza-Klein Theory.We consider also an influence of a cosmological constant on a static,spherically symmetric solution.We remind to the reader some fudamentals of the Nonsymmetric Kaluza-Klein Theory and a geometrcal background behind the theory.Simultaneously we give some remarks concerning misunderstanding connected to several notions of the Nonsymmetric Kaluza-Klein Theory,Einstein Unified Field Theory,geometrization and unification of physical interactions .We reconsider Dirac field in the Nonsymmetric Kaluza-Klein Theory.
Kaluza-Klein reduction of massive and partially massless spin-2 fields
Bonifacio, James; Hinterbichler, Kurt
2017-01-01
We describe the dimensional reduction of massive and partially massless spin-2 fields on general Einstein direct product manifolds. As with massless fields, the higher-dimensional gauge symmetry of the partially massless field displays itself upon dimensional reduction as a tower of Stückelberg symmetries for the massive modes of the tower. Unlike the massless case, the zero mode of the gauge symmetry does not display itself as a lower-dimensional non-Stückelberg gauge symmetry enforcing partial masslessness on the zero mode. Partial masslessness is destroyed by the dimensional reduction and the zero-mode gauge symmetry instead serves to eliminate the radion. In addition, we study the fully nonlinear dimensional reduction of de Rham-Gabadadze-Tolley massive gravity on a circle, which results in a massive scalar-tensor-vector theory which we expect to be ghost free, and whose scalar-tensor sector is a special case of mass-varying massive gravity.
Kaluza-Klein Reduction of Massive and Partially Massless Spin-2
Bonifacio, James
2016-01-01
We describe the dimensional reduction of massive and partially massless spin-2 fields on general Einstein direct product manifolds. As with massless fields, the higher-dimensional gauge symmetry of the partially massless field displays itself upon dimensional reduction as a tower of St\\"uckelberg symmetries for the massive modes of the tower. Unlike the massless case, the zero mode of the gauge symmetry does not display itself as a lower-dimensional non-Stuckelberg gauge symmetry enforcing partial masslessness on the zero mode. Partial masslessness is destroyed by the dimensional reduction and the zero mode gauge symmetry instead serves to eliminate the radion. In addition, we study the fully non-linear dimensional reduction of dRGT massive gravity on a circle, which results in a massive scalar-tensor-vector theory which we expect to be ghost-free, and whose scalar-tensor sector is a special case of mass-varying massive gravity.
Thermodynamics in Kaluza-Klein Universe
Sharif, M
2014-01-01
This paper is devoted to check the validity of laws of thermodynamics for Kaluza-Klein universe in the state of thermal equilibrium, composed of dark matter and dark energy. The generalized holographic dark energy and generalized Ricci dark energy models are considered here. It is proved that the first and generalized second law of thermodynamics are valid on the apparent horizon for both of these models. Further, we take a horizon of radius $L$ with modified holographic or Ricci dark energy. We conclude that these models do not obey the first and generalized second law of thermodynamics on the horizon of fixed radius $L$ for a specific range of model parameters.
Wormhole in 5D Kaluza-Klein cosmology
Biswas, Gargi; Modak, B.
2017-03-01
We present wormhole as a solution of Euclidean field equations as well as the solution of the Wheeler-deWitt (WD) equation satisfying Hawking-Page wormhole boundary conditions in (4 + 1)-dimensional Kaluza-Klein cosmology. The wormholes are considered in the cases of pure gravity, minimally coupled scalar (imaginary) field and with a positive cosmological constant assuming dynamical extra-dimensional space. In above cases, wormholes are allowed both from Euclidean field equations and WD equation. The dimensional reduction is possible.
Galactic entropy in extended Kaluza-Klein cosmology
Yanar, Hilmi; Salti, Mustafa; Aydogdu, Oktay; Acikgoz, Irfan; Yasar, Erol
2016-02-01
We use a Kaluza-Klein model with variable cosmological and gravitational terms to discuss the nature of galactic entropy function. For this purpose, we assume a universe filled with dark fluid and consider five-dimensional (5D) field equations using the Gamma law equation. We mainly discuss the validity of the first and generalized second laws of galactic thermodynamics for viable Kaluza-Klein models.
Kaluza-Klein relics from warped reheating
Berndsen, Aaron; Stoica, Horace
2007-01-01
It has been suggested that after brane-antibrane inflation in a Klebanov-Strassler (KS) warped throat, metastable Kaluza-Klein (KK) excitations can be formed due to nearly-conserved angular momenta along isometric directions in the throat. If sufficiently long-lived, these relics could conflict with big bang nucleosynthesis or baryogenesis by dominating the energy density of the universe. We make a detailed estimate of the decay rate of such relics using the low energy effective action of type IIB string theory compactified on the throat geometry, with attention to powers of the warp factor. We find that it is necessary to turn on SUSY-breaking deformations of the KS background in order to ensure that the most dangerous relics will decay. The decay rate is found to be much larger than the naive guess based on the dimension of the operators which break the angular isometries of the throat. For an inflationary warp factor of order w ~ 10^{-4}, we obtain the bound M_{3/2} > 10^8 GeV on the scale of SUSY breaking...
Kaluza-Klein gravitons at LHC2
Dillon, Barry M.; Sanz, Veronica
2017-08-01
In this work we study constraints from new searches for heavy particles at the LHC on the allowed masses and couplings of a Kaluza-Klein (KK) graviton in a holographic composite Higgs model. Keeping new electroweak states heavy such that electroweak precision tests are satisfied, we control the mass of the lightest KK graviton using a brane kinetic term. With this we study KK graviton masses from 0.5-3 TeV. In our analysis we also employ little Randall-Sundrum (RS) models, characterized by a lower UV scale in the five-dimensional model which in turn implies modified couplings to massless bulk fields. Viewing this scenario as a strongly coupled four-dimensional theory with a composite Higgs boson, the KK graviton is interpreted as a composite spin-2 state and the varying UV scale corresponds to a varying intermediate scale between the cutoff of the low-energy effective theory and the Planck scale. We find that KK gravitons with masses in the range [500, 3000] GeV are compatible with current collider constraints, where the most promising channels for detecting these states are the diphoton and Z Z channels. A detection is more likely in the little RS models, in which the dual gauge theory has a larger number of colors than in traditional RS models.
Kaluza-Klein thresholds and regularization (in)dependence
Energy Technology Data Exchange (ETDEWEB)
Kubo, Jisuke; Terao, Haruhiko; Zoupanos, George
2000-05-15
We present a method to control the regularization scheme dependence in the running of couplings in Kaluza-Klein theories. Specifically we consider the scalar theory in five dimensions, assuming that one dimension is compactified, and we study various regularization schemes in order to analyze concretely the regularization scheme dependence of the Kaluza-Klein threshold effects. We find that in one-loop order, although the {beta}-functions are different for the different schemes, the net difference in the running of the coupling among the different schemes is very small for the entire range of energies. Our results have been extended to include more than one radius, and the gauge coupling unification is re-examined. Strings are also used as a regulator. We obtain a particular regularization scheme of the effective field theory which can accurately describe the string Kaluza-Klein threshold effects.
Boosted Black Holes on Kaluza-Klein Bubbles
Iguchi, Hideo; Tomizawa, Shinya
2007-01-01
We construct an exact stationary solution of black hole -- bubble sequence in the five dimensional Kaluza-Klein theory by using solitonic solution generating techniques. The solution describes two boosted black holes with topology S^3 on a Kaluza-Klein bubble and has a linear momentum component in the compactified direction. The ADM mass and the linear momentum depend on the two boosted velocity parameters of black holes. In the effective four dimensional theory, the solution has an electric charge which is proportional to the linear momentum. The solution includes the static solution found by Elvang and Horowitz and a limit of single boosted black string.
Rotating Black Holes on Kaluza-Klein Bubbles
Tomizawa, S; Mishima, T; Iguchi, Hideo; Mishima, Takashi; Tomizawa, Shinya
2007-01-01
Using the solitonic solution generating techniques, we generate a new exact solution which describes a pair of rotating black holes on a Kaluza-Klein bubble as a vacuum solution in the five-dimensional Kaluza-Klein theory. We also investigate the properties of this solution. Two black holes with topology S^3 are rotating along the same direction and the bubble plays a role in holding two black holes. In static case, it coincides with the solution found by Elvang and Horowitz.
From Taub-NUT to Kaluza-Klein magnetic monopole
Riazi, Nematollah; Hashemi, S. Sedigheh
2016-03-01
We present a Kaluza-Klein vacuum solution which closely resembles the Taub-NUT magnetic monopole and we investigate its physical properties as viewed from four space-time dimensions. We show that the Taub-NUT Kaluza-Klein vacuum solution in five dimensions is a static magnetic monopole. We find that the four dimensional matter properties do not obey the equation of state of radiation and there is no event horizon. A comparison with the available magnetic monopole solutions and the issue of vanishing and negative mass are discussed.
Kaluza-Klein monopoles and gauged sigma-models
Bergshoeff, E; Janssen, B; Ortin, T; Alvarez-Gaumé, L.
1997-01-01
We propose an effective action for the eleven-dimensional (bosonic) Kaluza-Klein monopole solution. The construction of the action requires that the background fields admit an Abelian isometry group. The corresponding sigma-model is gauged with respect to this isometry. The gauged sigma-model is the
Kaluza-Klein Monopoles and Gauged Sigma Models
Bergshoeff, E.A.
1998-01-01
We review some aspects of branes. In particular, we discuss the worldvolume theory describing the dynamics of the Kaluza-Klein monopole which turns out to be a gauged sigma model. We also briefly review some recent applications of gauged sigma models to the worldvolume description of massive branes,
Fermion dynamics in the Kaluza-Klein monopole geometry
Bais, F.A.; Batenburg, P.
1984-01-01
The behaviour of charged particles in the Kaluza-Klein monopole geometry is studied. A discussion of the five-dimensional geodesics is followed by an analysis of the corresponding Dirac equation. A main observation is that a charged particle cannot reach the core of the pole, in contrast with the co
Tunneling of Dirac Particles from Kaluza-Klein Black Hole
Institute of Scientific and Technical Information of China (English)
ZENG Xiao-Xiong; LI Qiang
2009-01-01
Applying the fermions tunneling method, proposed by Kerner and Mann recently, we discuss the tunneling characteristics of Dirac particles from the stationary Kaluza-Klein black hole. To choose Gamma matrix conveniently and avoid the ergosphere dragging effect, we perform it in the dragging coordinate frame. The result shows that Hawking temperature in this case also can be reproduced by the general Dirac equation.
Kaluza-Klein monopole and 5-brane effective actions
Eyras, E; Lozano, Y
2000-01-01
We review the construction of the Kaluza-Klein monopole of the Type IIA theory in the most general case of a massive background, as well as its relation via T-duality with the Type IIB NS-5-brane. This last effective action is shown to be related by S-duality to the D5-brane effective action. [GRAPH
Kaluza-Klein theory and Aharonov-Bohm effect
Energy Technology Data Exchange (ETDEWEB)
Ferrari, J.A.; Griego, J.
1986-11-11
Recently Bocchieri et al. have shown that the Aharonov-Bohm effect appears to be in contradiction with the laws of quantum mechanics. The present paper provided an alternative (non-quantum-mechanical) explanation of the Aharonov-Bohm effect by using only De Broglie's undulatory hypothesis and the five-dimensional Kaluza-Klein theory.
Fermion dynamics in the Kaluza-Klein monopole geometry
Bais, F.A.; Batenburg, P.
1984-01-01
The behaviour of charged particles in the Kaluza-Klein monopole geometry is studied. A discussion of the five-dimensional geodesics is followed by an analysis of the corresponding Dirac equation. A main observation is that a charged particle cannot reach the core of the pole, in contrast with the co
Massive Kaluza-Klein theories and their spontaneously broken symmetries
Energy Technology Data Exchange (ETDEWEB)
Hohm, O.
2006-07-15
In this thesis we investigate the effective actions for massive Kaluza-Klein states, focusing on the massive modes of spin-3/2 and spin-2 fields. To this end we determine the spontaneously broken gauge symmetries associated to these 'higher-spin' states and construct the unbroken phase of the Kaluza-Klein theory. We show that for the particular background AdS{sub 3} x S{sup 3} x S{sup 3} a consistent coupling of the first massive spin-3/2 multiplet requires an enhancement of local supersymmetry, which in turn will be partially broken in the Kaluza-Klein vacuum. The corresponding action is constructed as a gauged maximal supergravity in D=3. Subsequently, the symmetries underlying an infinite tower of massive spin-2 states are analyzed in case of a Kaluza-Klein compactification of four-dimensional gravity to D=3. It is shown that the resulting gravity-spin-2 theory is given by a Chern-Simons action of an affine algebra and also allows a geometrical interpretation in terms of 'algebra-valued' differential geometry. The global symmetry group is determined, which contains an affine extension of the Ehlers group. We show that the broken phase can in turn be constructed via gauging a certain subgroup of the global symmetry group. Finally, deformations of the Kaluza-Klein theory on AdS{sub 3} x S{sup 3} x S{sup 3} and the corresponding symmetry breakings are analyzed as possible applications for the AdS/CFT correspondence. (Orig.)
From Taub-NUT to Kaluza-Klein magnetic monopole
Riazi, Nematollah
2016-01-01
We present a Kaluza-Klien vacuum solution which closely resembles the Taub-NUT magnetic monopole and we investigate its physical properties as viewed from four space-time dimensions. We show that the Taub-NUT Kaluza-Klein vacuum solution in five dimensions is a static magnetic monopole. We find that the four dimensional matter properties do not obey the equation of state of radiation and there is no event horizon. A comparison with the available magnetic monopole solutions and the issue of vanishing and negative mass are discussed.
Conformal anomaly and compactification of Kaluza--Klein models
Energy Technology Data Exchange (ETDEWEB)
Vasilevich, D.V.; Shtykov, N.N.
1988-10-01
An O (d)-invariant regularization of d-dimensional Kaluza--Klein models with scalar and fermion fields is proposed. The regularization preserves the power divergences and does not give inverse powers of the cutoff parameter in the conformal anomaly. The one-loop corrections to the trace of the energy--momentum tensor are calculated for internal spaces S/sup 2/, S/sup 4/, and S/sup 6/.
Topology change in Kaluza-Klein and superstring theories
Energy Technology Data Exchange (ETDEWEB)
Tipler, F.J.
1985-12-19
It is shown that topology change - for instance, true dynamical compactification - cannot occur in classical Kaluza-Klein and superstring theories without causality violation either in the form of a breakdown in predictability (a failure of global hyperbolicity), or in the form of closed timelike curves. This implies that if causality holds, then any toplogical distinction between the spacetime and internal dimensions either has to be present ab initio, or else must arise in the quantum gravity regime. (orig.).
Topology change in Kaluza-Klein and superstring theories
Tipler, Frank J.
1985-12-01
It is shown that topology change-for instance, true dynamical compactification - cannot occur in classical Kaluza-Klein and superstring theories without causality violation either in the form of a breakdown in predictability (a failure of global hyperbolicity), or in the form of closed timelike curves. This implies that if causality holds, then any topological distinction between the spacetime and internal dimensions either has to be present ab initio, or else must arise in the quantum gravity regime. Permanent address.
Towards Kaluza-Klein Dark Matter on nilmanifolds
Andriot, David; Cacciapaglia, Giacomo; Deandrea, Aldo; Deutschmann, Nicolas; Tsimpis, Dimitrios
2016-06-01
We present a first study of the field spectrum on a class of negatively-curved compact spaces: nilmanifolds or twisted tori. This is a case where analytical results can be obtained, allowing to check numerical methods. We focus on the Kaluza-Klein expansion of a scalar field. The results are then applied to a toy model where a natural Dark Matter candidate arises as a stable massive state of the bulk scalar.
A Dark Energy Model in Kaluza-Klein Cosmology
Mukhopadhyay, Utpal; Chakraborty, Ipsita; Ray, Saibal; Usmani, A. A.
2016-01-01
We study a dynamic Λ model with varying gravitational constant G under the Kaluza-Klein cosmology. Physical features and the limitations of the present model have been explored and discussed. Solutions are found mostly in accordance with the observed features of the accelerating universe. Interestingly, signature flipping of the deceleration parameter is noticed and the present age of the Universe is also attainable under certain stringent conditions. We find that the time variation of gravitational constant is not permitted without vintage Λ.
A Dark Energy Model in Kaluza-Klein Cosmology
Mukhopadhyay, Utpal; Ray, Saibal; Usmani, A A
2014-01-01
We study a dynamic $\\Lambda$ model with varying gravitational constant $G$ under the Kaluza-Klein cosmology. Physical features and the limitations of the present model have been explored and discussed. Solutions are found mostly in accordance with the observed features of the accelerating universe. Interestingly, signature flipping of the deceleration parameter is noticed and the present age of the Universe is also attainable under certain stringent conditions. We find that the time variation of gravitational constant is not permitted without vintage $\\Lambda$.
Constraints on cosmic superstrings from Kaluza-Klein emission.
Dufaux, Jean-François
2012-07-01
Cosmic superstrings interact generically with a tower of light and/or strongly coupled Kaluza-Klein (KK) modes associated with the geometry of the internal space. We study the production of KK particles by cosmic superstring loops, and show that it is constrained by big bang nucleosynthesis. We study the resulting constraints in the parameter space of the underlying string theory model and highlight their complementarity with the regions that can be probed by current and upcoming gravitational wave experiments.
Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space
Pavsic, M
2005-01-01
A theory in which 16-dimensional curved Clifford space (C-space) provides realization of Kaluza-Klein theory is investigated. No extra dimensions of spacetime are needed: "extra dimensions" are in C-space. It is shown that the covariant Dirac equation in C-space contains Yang-Mills fields of the U(1)xSU(2)xSU(3) group as parts of the generalized spin connection of the C-space.
Stability of some Kaluza-Klein cosmological models
Energy Technology Data Exchange (ETDEWEB)
Barrow, J.D.; Stein-Schabes, J.
1986-02-06
The stability is examined of some exact Kaluza-Klein cosmological solutions that possess static extra dimensions and standard Friedman behaviour for the remaining three spatial dimensions. It is shown that even when the extra dimensions are asymptotically static they produce a deviation from Friedman behaviour in the observable three spatial dimensions. A similar effect is found for models with anisotropically expanding three-spaces. (orig.).
Gauged diffeomorphisms and hidden symmetries in Kaluza-Klein theories
Energy Technology Data Exchange (ETDEWEB)
Hohm, Olaf [Spinoza Institute and Institute for Theoretical Physics, Leuvenlaan 4, 3584 CE Utrecht (Netherlands)
2007-06-07
We analyse the symmetries that are realized on the massive Kaluza-Klein modes in generic D-dimensional backgrounds with three non-compact directions. For this, we construct the unbroken phase given by the decompactification limit, in which the higher Kaluza-Klein modes are massless. The latter admits an infinite-dimensional extension of the three-dimensional diffeomorphism group as local symmetry and, moreover, a current algebra associated with SL(D-2,R) together with the diffeomorphism algebra of the internal manifold as global symmetries. It is shown that the 'broken phase' can be reconstructed by gauging a certain subgroup of the global symmetries. This deforms the three-dimensional diffeomorphisms to a gauged version, and it is shown that they can be governed by a Chern-Simons theory, which unifies the spin-2 modes with the Kaluza-Klein vectors. This provides a reformulation of D-dimensional Einstein gravity, in which the physical degrees of freedom are described by the scalars of a gauged nonlinear {sigma}-model based on SL(D-2,R)/SO(D-2), while the metric appears in a purely topological Chern-Simons form.
Proper time and conformal problem in Kaluza-Klein theory
Minguzzi, E
2015-01-01
In the traditional Kaluza-Klein theory, the cylinder condition and the constancy of the extra-dimensional radius (scalar field) imply that timelike geodesics on the 5-dimensional bundle project to solutions of the Lorentz force equation on spacetime. This property is lost for non constant scalar fields, in fact there appear new terms that have been interpreted mainly as new forces or as due to a variable inertial mass and/or charge. Here we prove that the additional terms can be removed if we assume that charged particles are coupled with the same spacetime conformal structure of neutral particles but through a different conformal factor. As a consequence, in Kaluza-Klein theory the proper time of the charged particle might depend on the charge-to-mass ratio and the scalar field. Then we show that the compatibility between the equation of the projected geodesic and the classical limit of the Klein-Gordon equation fixes unambiguously the conformal factor of the coupling metric solving the `conformal ambiguity ...
Dynamical fermion masses under the influence of Kaluza-Klein fermions in extra dimensions
Abe, Hiroyuki; Miguchi, Hironori; Muta, Taizo
2000-01-01
The dynamical fermion mass generation in the 4-dimensional brane is discussed in a model with 5-dimensional Kaluza-Klein fermions in interaction with 4-dimensional fermions. It is found that the dynamical fermion masses are generated beyond the critical radius of the compactified extra dimensional space and may be made small compared with masses of the Kaluza-Klein modes.
Dynamical fermion masses under the influence of Kaluza-Klein fermions in extra dimensions
Abe, H; Muta, T; Abe, Hiroyuki; Miguchi, Hironori; Muta, Taizo
2000-01-01
The dynamical fermion mass generation in the 4-dimensional brane is discussedin a model with 5-dimensional Kaluza-Klein fermions in interaction with4-dimensional fermions. It is found that the dynamical fermion masses aregenerated beyond the critical radius of the compactified extra dimensionalspace and may be made small compared with masses of the Kaluza-Klein modes.
A T-duality approach to the gravitational wave and the Kaluza-Klein monopole
Janssen, B
1999-01-01
We present a world volume action for the gravitational wave and the (bosonic) N = 1 Heterotic Kaluza-Klein monopole solution. In the construction of the action we make use of the fact that the wave and the Kaluza-Klein monopole are T-dual to the fundamental string and the solitonic five-brane, and w
The classical tests in Kaluza-Klein gravity
Kalligas, D.; Wesson, P. S.; Everitt, C. W. F.
1995-01-01
The possible existence of extra dimensions to spacetime can be tested astrophysically using Kaluza-Klein theory, which is a natural extension of Einsteins's general relativity. In the simplest version of the theory, there is a standard class of five-dimensional solutions that are analogous to the four-dimensional Schwarzschild solution. However, even a small departure of the extra dimension from flatness affects the first or dominant part of the potential, making it possible to test for the existence of an extra dimension. Data from the solar system indicate that in our region of space the terms due to the fifth dimension are small (less than or equal to 0.1%) compared to those due to the usual for dimensions of spacetime. However, the parameters of Kaluza-Klein theory are not universal constants and can vary from place to place depending on local physics. Hence other astrophysical systems may serve as better laboratories for investigating the possible existence of extra dimensions.
On Signature Transition and Compactification in Kaluza-Klein Cosmology
Darabi, F
1999-01-01
We consider an empty (4+1) dimensional Kaluza-Klein universe with a negative cosmological constant and a Robertson-Walker type metric. It is shown that the solutions to Einstein field equations have degenerate metric and exhibit transitioins from a Euclidean to a Lorentzian domain. We then suggest a mechanism, based on signature transition which leads to compactification of the internal space in the Lorentzian region as $a \\sim |\\Lambda|^{1/2}$. With the assumption of a very small value for the cosmological constant we find that the size of the universe $R$ and the internal scale factor $a$ would be related according to $Ra\\sim 1$ in the Lorentzian region. The corresponding Wheeler-DeWitt equation has exact solution in the mini-superspace giving rise to a quantum state which peaks in the vicinity of the classical solutions undergoing signature transition.
Kaluza-Klein Structure Associated With Fat Brane
Hung, P Q; Hung, Pham Quang; Tran, Ngoc-Khanh
2003-01-01
It is known that the imposition of orbifold boundary conditions on background scalar field can give rise to a non-trivial vacuum expectation value (VEV) along extra dimensions, which in turn generates fat branes and associated unconventional Kaluza-Klein (KK) towers of fermions. We study the structure of these KK towers in the limit of one large extra dimension and show that normalizable (bound) states of massless and massive fermions can exist at both orbifold fixed points. Closer look however indicates that orbifold boundary conditions act to suppress at least half of bound KK modes, while periodic boundary conditions tend to drive the high-lying modes to the conventional structure. By investigating the scattering of fermions on branes, we analytically compute masses and wavefunctions of KK spectra in the presence of these boundary conditions up to one-loop level. Implication of KK-number non-conservation couplings on the Coulomb potential is also examined.
Kaluza--Klein Cosmology from five-dimensional Lovelock--Cartan Theory
Castillo-Felisola, Oscar; del Pino, Simón; Ramírez, Francisca
2016-01-01
We study the Kaluza-Klein dimensional reduction of the Lovelock-Cartan theory in five-dimensional spacetime, with a compact dimension of $S^1$ topology. We find cosmological solutions of the Friedmann-Robertson-Walker class in the reduced spacetime. The torsion and the fields arising from the dimensional reduction induce a nonvanishing energy-momentum tensor in four dimensions. We find solutions describing expanding, contracting and bouncing universes. The model shows a dynamical compactification of the extra dimension in some regions of the parameter space.
Dynamical fermion masses under the influence of Kaluza-Klein fermions in extradimensions
Abe, Hiroyuki; Miguchi, Hironori; Muta, Taizo
2000-01-01
The dynamical fermion mass generation in the 4-dimensional brane is discussed in a model with 5-dimensional Kaluza-Klein fermions in interaction with 4-dimensional fermions. It is found that the dynamical fermion masses are generated beyond the critical radius of the compactified extra dimensional space and may be made small compared with masses of the Kaluza-Klein modes. 04.50.th, 04.60.-m, 11.15.Pg, 11.30.Qc
Cosmic Super-Strings and Kaluza-Klein Modes
Dufaux, Jean-Francois
2011-01-01
Cosmic super-strings interact generically with a tower of relatively light and / or strongly coupled Kaluza-Klein (KK) modes associated with the geometry of the internal space. In this paper, we study the production of spin-2 KK particles by cusps on loops of cosmic F- and D-strings. We consider cosmic super-strings localized either at the bottom of a warped throat or in a flat internal space with large volume. The total energy emitted by cusps in KK modes is of the same order of magnitude in both cases, although the number of produced KK modes may differ significantly. The calculation lies within the regime of validity of the effective Nambu-Goto description, but the energy emitted in KK modes is comparable to the energy released in scalar and gauge fields by cusp annihilation on standard Abelian-Higgs cosmic strings. Nevertheless, KK emission by cosmic super-strings may have specific cosmological consequences. We show that it is constrained by the diffuse gamma ray background and by the photo-dissociation o...
Cosmic Super-Strings and Kaluza-Klein Modes
Dufaux, Jean-Francois
2012-01-01
Cosmic super-strings interact generically with a tower of relatively light and/or strongly coupled Kaluza-Klein (KK) modes associated with the geometry of the internal space. In this paper, we study the production of spin-2 KK particles by cusps on loops of cosmic F- and D-strings. We consider cosmic super-strings localized either at the bottom of a warped throat or in a flat internal space with large volume. The total energy emitted by cusps in KK modes is comparable in both cases, although the number of produced KK modes may differ significantly. We then show that KK emission is constrained by the photo-dissociation of light elements and by observations of the diffuse gamma ray background. We study the resulting constraints on the parameter space of cosmic super-strings and highlight their complementarity with the regions that can be probed by current and upcoming gravitational wave experiments. KK modes are also expected to play an important role in the friction-dominated epoch of cosmic super-string evolu...
Finite temperature Casimir effect in Kaluza-Klein spacetime
Energy Technology Data Exchange (ETDEWEB)
Teo, L.P. [Faculty of Information Technology, Multimedia University, Jalan Multimedia, Cyberjaya, 63100 Selangor Darul Ehsan (Malaysia)], E-mail: lpteo@mmu.edu.my
2009-10-01
In this article, we consider the finite temperature Casimir effect in Kaluza-Klein spacetime due the vacuum fluctuation of massless scalar field with Dirichlet boundary conditions. We consider the general case where the extra dimensions (internal space) can be any compact connected manifold or orbifold without boundaries. Using piston analysis, we show that the Casimir force is always attractive at any temperature, regardless of the geometry of the internal space. Moreover, the magnitude of the Casimir force increases as the size of the internal space increases and it reduces to the Casimir force in (3+1)-dimensional Minkowski spacetime when the size of the internal space shrinks to zero. In the other extreme where the internal space is large, the Casimir force can increase beyond all bound. Asymptotic behaviors of the Casimir force in the low and high temperature regimes are derived and it is observed that the magnitude of the Casimir force grows linearly with temperature in the high temperature regime.
Direct Detection of Kaluza-Klein Particles in Neutrino Telescopes
Albuquerque, Ivone F M; Krenke, Christopher A; Nosratpour, Baran
2008-01-01
In theories with universal extra dimensions (UEDs), all standard model fields propagate in the bulk and the lightest state of the first Kaluza-Klein (KK) level can be made stable by imposing a Z2 parity. We consider a framework where the lightest KK particle (LKP) is a neutral, extremely weakly interacting particle such as the first KK excitation of the graviton, while the next-to-lightest KK particle (NLKP) is the first KK mode of a charged right-handed lepton. In such a scenario, due to its very small couplings to the LKP, the NLKP is long-lived. We investigate the production of these particles from the interaction of high energy neutrinos with nucleons in the Earth, and determine the rate of NLKP events in neutrino telescopes. Using the Waxman-Bahcall limit for the neutrino flux, we find that the rate can be as large as a few hundreds events a year for realistic values of the NLKP mass.
Schwarzschild-like exteriors for stars in Kaluza-Klein gravity
de Leon, J Ponce
2010-01-01
In this work we examine the effective four-dimensional world that emanates from a general class of static spherical Ricci-flat solutions in Kaluza-Klein gravity in $D$-dimensions. By means of dimensional reduction we obtain a family of asymptotically flat Schwarzschild-like metrics for which all the components of the Ricci tensor, except for $R_{11}$, are zero. Although the reduced spacetime is not empty, it is similar to vacuum in the sense that the effective matter satisfies an equation of state which is the generalization of $(\\rho + 3p) = 0$ for "nongravitating matter" in 4D. In Kaluza-Klein gravity these Schwarzschild-like metrics describe the exterior of a spherical star without rotation. In this framework, we generalize the well-known Buchdahl's theorem for perfect fluid spheres whose mass density does not increase outward. Without any additional assumptions, we develop the most general expression for the compactness limit of a star. We provide some numerical values for it, which in principle are obser...
Angular Momentum-Free of the Entropy Relations for Rotating Kaluza-Klein Black Holes
Liu, Hang; Meng, Xin-he
2017-02-01
Based on a mathematical lemma related to the Vandermonde determinant and two theorems derived from the first law of black hole thermodynamics, we investigate the angular momentum independence of the entropy sum as well as the entropy product of general rotating Kaluza-Klein black holes in higher dimensions. We show that for both non-charged rotating Kaluza-Klein black holes and non-charged rotating Kaluza-Klein-AdS black holes, the angular momentum of the black holes will not be present in entropy sum relation in dimensions d≥4, while the independence of angular momentum of the entropy product holds provided that the black holes possess at least one zero rotation parameter a j = 0 in higher dimensions d≥5, which means that the cosmological constant does not affect the angular momentum-free property of entropy sum and entropy product under the circumstances that charge δ=0. For the reason that the entropy relations of charged rotating Kaluza-Klein black holes as well as the non-charged rotating Kaluza-Klein black holes in asymptotically flat spacetime act the same way, it is found that the charge has no effect in the angular momentum-independence of entropy sum and product in asymptotically flat spactime.
Kaluza-Klein Masses and Couplings: Radiative Corrections to Tree-Level Relations
Bauman, Sky
2011-01-01
The most direct experimental signature of a compactified extra dimension is the appearance of towers of Kaluza-Klein particles obeying specific mass and coupling relations. However, such masses and couplings are subject to radiative corrections. In this paper, using techniques developed in previous work, we investigate the extent to which such radiative corrections deform the expected tree-level relations between Kaluza-Klein masses and couplings. As toy models for our analysis, we investigate a flat five-dimensional scalar \\lambda\\phi^4 model and a flat five-dimensional Yukawa model involving both scalars and fermions. In each case, we identify the conditions under which the tree-level relations are stable to one-loop order, and the situations in which radiative corrections modify the algebraic forms of these relations. Such corrections to Kaluza-Klein spectra therefore have the potential to distort the apparent geometry of a large extra dimension.
Strong Gravitational Lensing in a Charged Squashed Kaluza- Klein G\\"{o}del Black hole
Sadeghi, J
2013-01-01
In this paper we investigate the strong gravitational lansing in a charged squashed Kaluza-Klein G\\"{o}del black hole. The deflection angle is considered by the logarithmic term proposed by Bozza et al. Then we study the variation of deflection angle and its parameters $\\bar{a}$ and $\\bar{b}$ . We suppose that the supermassive black hole in the galaxy center can be considered by a charged squashed Kaluza-Klein black hole in a G\\"{o}del background and by relation between lensing parameters and observables we estimate the observables for different values of charge, extra dimension and G\\"{o}del parameters.
Kaluza-Klein theories as a tool to find new gauge symmetries
Dolan, L.
Non-abelian Kaluza-Klein theories are studied with respect to using the invariances of multi-dimensional general relativity to investigate hidden symmetry, such as Kac-Mody Lie algebras, of the four-dimensional Yang-Mills theory. Several properties of the affine transformations on the self-dual set are identified and are used to motivate the Kaluza-Klein analysis. In this context, a system of differential equations is derived for new symmetry transformations which may be extendable to the full gauge theory.
Hawking Radiation of a Kaluza-Klein Black Hole Described by Landauer Transport Model
Institute of Scientific and Technical Information of China (English)
兰小刚; 韦联福
2012-01-01
We investigate the Hawking radiation of a Kaluza-Klein black hole by using one-dimensional(1D),non-equilibrium,Landauer transport model.The derived Hawking radiation temperature is in consistence with that obtained by using the usual anomaly method.With the Landauer transport model,we calculate the entropy flow out of the Kaluza-Klein black hole and the relevant entropy production rate.How these quantities depending on the physical parameters of the black hole is also discussed.
Strong gravitational lensing in a charged squashed Kaluza-Klein Gödel black hole
Sadeghi, J.; Naji, J.; Vaez, H.
2014-01-01
In this Letter we investigate the strong gravitational lansing in a charged squashed Kaluza-Klein Gödel black hole. The deflection angle is considered by the logarithmic term proposed by Bozza et al. Then we study the variation of deflection angle and its parameters abar and bbar. We suppose that the supermassive black hole in the galaxy center can be considered by a charged squashed Kaluza-Klein black hole in a Gödel background. Then by the relations between lensing parameters and observables, we estimate the observables for different values of charge, extra dimension and Gödel parameters.
On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications
Ballesteros, Ángel; Gutiérrez-Sagredo, Iván; Naranjo, Pedro
2017-02-01
In a recent paper (Morris (2015) [1]), an inhomogeneous compactification of the extra dimension of a five-dimensional Kaluza-Klein metric has been shown to generate a position-dependent mass (PDM) in the corresponding four-dimensional system. As an application of this dimensional reduction mechanism, a specific static dilatonic scalar field has been connected with a PDM Lagrangian describing a well-known nonlinear PDM oscillator. Here we present more instances of this construction that lead to PDM systems with radial symmetry, and the properties of their corresponding inhomogeneous extra dimensions are compared with the ones in the nonlinear oscillator model. Moreover, it is also shown how the compactification introduced in this type of models can alternatively be interpreted as a novel mechanism for the dynamical generation of curvature.
On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications
Ballesteros, Ángel; Naranjo, Pedro
2016-01-01
In a recent paper [1], an inhomogeneous compactification of the extra dimension of a five dimensional Kaluza-Klein metric has been shown to generate a position-dependent mass in the corresponding four dimensional system. As an application of this dimensional reduction mechanism, a specific static dilatonic scalar field has been connected with a PDM Lagrangian describing a well-known nonlinear PDM oscillator. Here we present two more instances of this construction that lead to two distinguished superintegrable PDM systems: the so-called Darboux III and Taub-NUT Hamiltonians, and the properties of the inhomogeneous extra dimensions connected with them are compared with the ones in the nonlinear oscillator model. It is worth stressing that the Darboux III and Taub-NUT define exactly solvable quantum models, whose spectrum and eigenfuctions are explicitly known. Finally, it is shown that the compactification introduced in [1] can be alternatively interpreted as a mechanism for the dynamical generation of curvatur...
Single field inflationary models with non-compact Kaluza-Klein theory
Ledesma, D S; Ledesma, Diego S.; Bellini, Mauricio
2004-01-01
We discuss a semiclassical treatment to inflationary models from Kaluza-Klein theory without the cylinder condition. We conclude that the evolution of the early universe could be described by a geodesic trayectory of a cosmological 5D metric here proposed, so that the effective 4D FRW background metric should be a hypersurface on a constant fifth dimension.
Deformed phase space Kaluza-Klein cosmology and late time acceleration
Sabido, M.; Yee-Romero, C.
2016-06-01
The effects of phase space deformations on Kaluza-Klein cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables. In the deformed model, we find an accelerating scale factor and therefore infer the existence of an effective cosmological constant from the phase space deformation parameter β.
Single field inflationary models with non-compact Kaluza-Klein theory
Energy Technology Data Exchange (ETDEWEB)
Ledesma, Diego S.; Bellini, Mauricio
2004-02-12
We discuss a semiclassical treatment to inflationary models from Kaluza-Klein theory without the cylinder condition. We conclude that the evolution of the early universe could be described by a geodesic trajectory of a cosmological 5D metric here proposed, so that the effective 4D FRW background metric should be a hypersurface on a constant fifth dimension.
T-Duality in $\\sigma$ Models with Kaluza-Klein Metric as Electric-Magnetic Duality
Jafarizadeh, M A
1999-01-01
It is shown that the T-duality in \\sigma-model with Kaluza-Klein metric, without or with a torsion term, can be interpreted as electric-magnetic duality for some of their solitonic solutions. Actually Buscher's duality transformation interchanges the topological and Noether charges.
Angular Momentum-Free of the Entropy Relations for Rotating Kaluza-Klein Black Holes
Liu, Hang
2016-01-01
Based on a mathematical lemma related to the Vandermonde determinant and two theorems derived from the first law of black hole thermodynamics, we investigate the angular momentum independence of the entropy sum as well as the entropy product of general rotating Kaluza-Klein black holes in higher dimensions. We show that for both non-charged rotating Kaluza-Klein black holes and non-charged rotating Kaluza-Klein-AdS black holes, the angular momentum of the black holes will not be present in entropy sum relation in dimensions $d\\geq4$, while the independence of angular momentum of the entropy product holds provided that the black holes possess at least one zero rotation parameter $a_j$ = 0 in higher dimensions $d\\geq5$, which means that the cosmological constant does not affect the angular momentum-free property of entropy sum and entropy product under the circumstances that charge $\\delta=0$. For the reason that the entropy relations of charged rotating Kaluza-Klein black holes as well as the non-charged rotat...
New phases of thermal SYM and LST from Kaluza-Klein black holes
DEFF Research Database (Denmark)
Harmark, Troels; Obers, Niels A.
2005-01-01
We review the recently found map that takes any static and neutral Kaluza-Klein black hole, i.e. any static and neutral black hole on Minkowski-space times a circle Md × S1, and maps it to a corresponding solution for a non- and near-extremal brane on a circle. This gives a precise connection...
New phases of thermal SYM and LST from Kaluza-Klein black holes
DEFF Research Database (Denmark)
Harmark, Troels; Obers, Niels A.
2005-01-01
We review the recently found map that takes any static and neutral Kaluza-Klein black hole, i.e. any static and neutral black hole on Minkowski-space times a circle Md × S1, and maps it to a corresponding solution for a non- and near-extremal brane on a circle. This gives a precise connection...... between phases of Kaluza-Klein black holes and the thermodynamic behavior of the non-gravitational theories dual to near-extremal branes on a circle. In particular, for the thermodynamics of strongly-coupled supersymmetric Yang-Mills theories on a circle we predict the existence of a new non-uniform phase...
Particle production and dissipation caused by the Kaluza-Klein tower
Matsuda, Tomohiro
2012-01-01
Two-step dissipation is studied in supersymmetric models in which the field in motion couples to bulk fields in the higher dimensional space. Since the Kaluza-Klein tower of the intermediate field changes its mass-spectrum during the evolution, there could be back-reaction from the tower. Then the system may eventually cause significant dissipation of the kinetic energy if the tower is coupled to light fields in the thermal bath. To see what happens in the higher dimensional theory, we consider three models for the scenario, which are carefully prepared. In these models the extension is obvious but it does not disturb the original set-ups. The third model suggests that the evolution of the volume moduli may feel significant friction from the Kaluza-Klein tower.
Dynamics of localized Kaluza-Klein black holes in a collapsing universe
Kastor, David; Traschen, Jennie
2011-01-01
The Clayton Antitrust Act of 1914 prohibits corporate mergers that would result in certain highly undesired end states. We study an exact solution of the Einstein equations describing localized, charged Kaluza-Klein black holes in a collapsing deSitter universe and seek to demonstrate that a similar effect holds, preventing a potentially catastrophic black hole merger. As the collapse proceeds, it is natural to expect that the black hole undergoes a topological transition, wrapping around the shrinking compact dimension to merge with itself and form a black string. However, the putative uniform charged black string end state is singular and such a transition would violate (a reasonable notion of) cosmic censorship. We present analytic and numerical evidence that strongly suggests the absence of such a transition. Based on this evidence, we expect that the Kaluza-Klein black hole horizon stays localized, despite the increasingly constraining size of the compact dimension. On the other hand, the deSitter horizo...
Ishigure, Yoshiaki; Santa, Akiteru
2016-01-01
Universal extra dimension models with Kaluza-Klein parity provide us excellent candidates for dark matter. We consider phenomenological universal extra dimension models where the Kaluza-Klein (KK) mass spectrum is different from that of the minimal universal extra dimension model, and compute the thermal relic abundance of the first KK mode of the photon taking into account the production of second KK particles. It is pointed out that its thermal relic abundance depends significantly on the mass degeneracy between the KK-photon and other KK particles because of considerable coannihilation effects. The cosmologically favored compactification scale is shown to range from around 1 TeV to a few TeV even in the cases where one of the first KK particles is tightly degenerate with the first KK photon in mass.
Phenomenology of neutrino physics in the Kaluza-Klein theories of low scale gravity
Ioannisian, A N
2001-01-01
We discuss the phenomenological consequences of theories which describe sterile neutrinos in large extra dimensions. We show that the Kaluza-Klein tower of the singlet neutrinos, albeit tiny individual contribution in electroweak processes, act cumulatively, giving rise to non-universality of the weak interactions of the light neutrinos and to flavour-violating radiative processes. Owing to these non-decoupling effects of th Kaluza--Klein neutrinos, we derive strong constraints on the parameters of the theory that originates from the non-observation of flavour-violating and universality-breaking phenomena. In this theory we propose a four-neutrino model which can reconcile the existing data coming from underground experiments in terms of neutrino oscillations, together with the hint from the LSND experiment and a possible neutrino contribution to the hot dark matter of the Universe.
Kaluza-Klein Theory as a Dynamics in a Dual Geometry
Gershon, Avi
2009-01-01
It has been shown that the orbits of motion for a wide class of non-relativistic Hamiltonian systems can be described as geodesic flow on a manifold and an associated dual. This method can be applied to a four dimensional manifold of orbits in space-time associated with a relativistic system. One can study the consequences on the geometry of the introduction of electromagnetic interaction. We find that resulting geometrical structure in the dual space is that of Kaluza and Klein.
Dynamical Fermion Masses Under the Influence of Kaluza-Klein Fermions in Randall-Sundrum Background
Abe, H; Muta, T; Abe, Hiroyuki; Inagaki, Tomohiro; Muta, Taizo
2001-01-01
The dynamical fermion mass generation on the D3-brane in the Randall-Sundrum space-time is discussed in a model with bulk fermions in interaction with fermions on the branes. It is found that the dynamical fermion masses are generated at the natural (R.-S.) radius of the compactified extra space and may be made small compared with masses of the Kaluza-Klein modes which is of order of TeV.
Killig-Yano Tensors of Valence-2 in the Standart Kaluza-Klein Theory
Nurbaki, Ali Nur
2011-01-01
This work is constructed on two main concepts: Killing-Yano symmetry and the Kaluza-Klein theory. Those concepts are reviewed in the first three chapters. In the fourth chapter firstly Killing-Yano equations of valence-2 are obtained for a general 5-dimensional metric and then reduced for the Minkowski metric. It is seen that in order to save the existence of Killing-Yano tensors with the fifth components some conditions must be satisfied
Harrison transformation and charged black objects in Kaluza-Klein theory
Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen; Stelea, Cristian
2009-09-01
We generate charged black brane solutions in D-dimensions in a theory of gravity coupled to a dilaton and an antisymmetric form, by using a Harrison-type transformation. The seed vacuum solutions that we use correspond to uplifted Kaluza-Klein black strings and black holes in (D-p)-dimensions. A generalization of the Marolf-Mann quasilocal formalism to the Kaluza-Klein theory is also presented, the global charges of the black objects being computed in this way. We argue that the thermodynamics of the charged solutions can be derived from that of the vacuum configurations. Our results show that all charged Kaluza-Klein solutions constructed by means of Harrison transformations are thermodynamically unstable in a grand canonical ensemble. The general formalism is applied to the case of nonuniform black strings and caged black hole solutions in D = 5,6 Einstein-Maxwell-dilaton gravity, whose geometrical properties and thermodynamics are discussed. We argue that the topology changing transition scenario, which was previously proposed in the vacuum case, also holds in this case. Spinning generalizations of the charged black strings are constructed in six dimensions in the slowly rotating limit. We find that the gyromagnetic ratio of these solutions possesses a nontrivial dependence on the nonuniformity parameter.
Harrison transformation and charged black objects in Kaluza-Klein theory
Kleihaus, Burkhard; Radu, Eugen; Stelea, Cristian
2009-01-01
We generate charged black brane solutions in $D-$dimensions in a theory of gravity coupled to a dilaton and an antisymmetric form, by using a Harrison-type transformation. The seed vacuum solutions that we use correspond to uplifted Kaluza-Klein black strings and black holes in $(D-p)$-dimensions. A generalization of the Marolf-Mann quasilocal formalism to the Kaluza-Klein theory is also presented, the global charges of the black objects being computed in this way. We argue that the thermodynamics of the charged solutions can be derived from that of the vacuum configurations. Our results show that all charged Kaluza-Klein solutions constructed by means of Harrison transformations are thermodynamically unstable in a grand canonical ensemble. The general formalism is applied to the case of nonuniform black strings and caged black hole solutions in $D=5, 6$ Einstein-Maxwell-dilaton gravity, whose geometrical properties and thermodynamics are discussed. We argue that the topology changing transition scenario, whi...
García-Jiménez, I.; Novales-Sánchez, H.; Toscano, J. J.
2016-05-01
One-loop Standard Model observables produced by virtual heavy Kaluza-Klein fields play a prominent role in the minimal model of universal extra dimensions. Motivated by this aspect, we integrate out all the Kaluza-Klein heavy modes coming from the Yang-Mills theory set on a spacetime with an arbitrary number, n , of compact extra dimensions. After fixing the gauge with respect to the Kaluza-Klein heavy gauge modes in a covariant manner, we calculate a gauge-independent effective Lagrangian expansion containing multiple Kaluza-Klein sums that entail a bad divergent behavior. We use the Epstein-zeta function to regularize and characterize discrete divergences within such multiple sums, and then we discuss the interplay between the number of extra dimensions and the degree of accuracy of effective Lagrangians to generate or not divergent terms of discrete origin. We find that nonrenormalizable terms with mass dimension k are finite as long as k >4 +n . Multiple Kaluza-Klein sums of nondecoupling logarithmic terms, not treatable by Epstein-zeta regularization, are produced by four-dimensional momentum integration. On the grounds of standard renormalization, we argue that such effects are unobservable.
García-Jiménez, I; Toscano, J J
2016-01-01
One-loop Standard Model observables produced by virtual heavy Kaluza-Klein fields play a prominent role in the minimal model of universal extra dimensions. Motivated by this aspect, we integrate out all the Kaluza-Klein heavy modes coming from the Yang-Mills theory set on a spacetime with an arbitrary number, $n$, of compact extra dimensions. After fixing the gauge with respect to the Kaluza-Klein heavy gauge modes in a covariant manner, we calculate a gauge independent effective Lagrangian expansion containing multiple Kaluza-Klein sums that entail a bad divergent behavior. We use the Epstein-zeta function to regularize and characterize discrete divergences within such multiple sums, and then we discuss the interplay between the number of extra dimensions and the degree of accuracy of effective Lagrangians to generate or not divergent terms of discrete origin. We find that nonrenormalizable terms with mass dimension $k$ are finite as long as $k>4+n$. Multiple Kaluza-Klein sums of nondecoupling logarithmic te...
Improved upper bounds on Kaluza-Klein gravity with current Solar System experiments and observations
Deng, Xue-Mei
2015-01-01
As an extension of previous works on classical tests of Kaluza-Klein (KK) gravity and as an attempt to find more stringent constraints on this theory, its effects on physical experiments and astronomical observations conducted in the Solar System are studied. We investigate the gravitational time delay at inferior conjunction caused by KK gravity, and use new Solar System ephemerides and the observation of \\textit{Cassini} to strengthen constraints on KK gravity by up to two orders of magnitude. These improved upper bounds mean that the fifth-dimensional space in the soliton case is a very flat extra dimension in the Solar System, even in the vicinity of the Sun.
Improved upper bounds on Kaluza-Klein gravity with current Solar System experiments and observations
Energy Technology Data Exchange (ETDEWEB)
Deng, Xue-Mei [Chinese Academy of Sciences, Purple Mountain Observatory, Nanjing (China); Xie, Yi [Nanjing University, School of Astronomy and Space Science, Nanjing (China); Shanghai Key Laboratory of Space Navigation and Position Techniques, Shanghai (China); Nanjing University, Ministry of Education, Key Laboratory of Modern Astronomy and Astrophysics, Nanjing (China)
2015-11-15
As an extension of previous works on classical tests of Kaluza-Klein (KK) gravity and as an attempt to find more stringent constraints on this theory, its effects on physical experiments and astronomical observations conducted in the Solar System are studied. We investigate the gravitational time delay at inferior conjunction caused by KK gravity, and use new Solar System ephemerides and the observation of Cassini to strengthen constraints on KK gravity by up to two orders of magnitude. These improved upper bounds mean that the fifth-dimensional space in the soliton case is a very flat extra dimension in the Solar System, even in the vicinity of the Sun. (orig.)
Shadow cast by a Kaluza-Klein spinning dilaton black hole
Amarilla, Leonardo
2015-01-01
We examine the shadow of a rotating Kaluza-Klein black hole in Einstein gravity coupled to a Maxwell field and a dilaton. The size and the shape of the shadow depend on the mass, the charge, and the angular momentum of the compact object. For a given mass, the size increases with the rotation parameter and decreases with the electric charge. The distortion with respect to the non rotating case grows with the charge and the rotation parameter. For fixed values of these parameters, the shadow is slightly larger and less deformed than in the Kerr-Newman case.
Hawking Radiation of the Charged Particle via Tunneling from the Kaluza-Klein Black Hole
Pu, Jin; Han, Yan
2016-12-01
In this paper, by applying the Lagrangian analysis on the action, we first redefine the geodesic equation of the charged massive particle. Then, basing on the new definition of the geodesic equation, we revisit the Hawking radiation of the charged massive particle via tunneling from the event horizon of the Kaluza-Klein black hole. In our treatment, the geodesic equation of the charged massive particle is defined uniformly with that of the massless particle, which overcomes the shortcomings of its previous definition, and is more suitable for the tunneling mechanism. The highlight of our work is a new and important development for the Parikh-Wilczek's tunneling method.
Hawking Radiation via Damour-Ruffini Method in Squashed Charged Rotating Kaluza-Klein Black Holes
Hu, Ji-Wan; Wu, Jing-He; Liu, Xian-Ming
2017-02-01
Using the Damour-Ruffini method, Hawking radiation of charged particles from squashed charged rotating five-dimensional Kaluza-Klein black holes is investigated extensively. Under the generalized tortoise coordinate transformation, Hawking temperature of the black holes is calculated by using charged scalar particles and Dirac fermions respectively. We find that the obtained Hawking temperature for charged Dirac fermions is the same as for charged scalar particles. What's more, the spectrum of Hawking radiation contains the information of the size of the extra dimension, which could provide insight for further investigation of large extra dimensions in the future.
Graviton Kaluza-Klein modes in nonflat branes with stabilized modulus
Paul, Tanmoy; SenGupta, Soumitra
2016-04-01
We consider a generalized two brane Randall-Sundrum model where the branes are endowed with nonzero cosmological constant. In this scenario, we re-examine the modulus stabilization mechanism and the nature of Kaluza-Klein (KK) graviton modes. Our result reveals that while the KK mode graviton masses may change significantly with the brane cosmological constant, the Goldberger-Wise stabilization mechanism, which assumes a negligible backreaction on the background metric, continues to hold even when the branes have a large cosmological constant. The possibility of having a global minimum for the modulus is also discussed. Our results also include an analysis for the radion mass in this nonflat brane scenario.
Hawking Radiation of the Charged Particle via Tunneling from the Kaluza-Klein Black Hole
Pu, Jin; Han, Yan
2016-08-01
In this paper, by applying the Lagrangian analysis on the action, we first redefine the geodesic equation of the charged massive particle. Then, basing on the new definition of the geodesic equation, we revisit the Hawking radiation of the charged massive particle via tunneling from the event horizon of the Kaluza-Klein black hole. In our treatment, the geodesic equation of the charged massive particle is defined uniformly with that of the massless particle, which overcomes the shortcomings of its previous definition, and is more suitable for the tunneling mechanism. The highlight of our work is a new and important development for the Parikh-Wilczek's tunneling method.
Reconstruction of Scalar Field Dark Energy Models in Kaluza-Klein Universe
Institute of Scientific and Technical Information of China (English)
M.Sharif; Abdul Jawad
2013-01-01
This paper is devoted to study the modified holographic dark energy model by taking its different aspects in the flat Kaluza-Klein universe.We construct the equation of state parameter which evolutes the universe from quintessence region towards the vacuum.It is found that the modified holographic model exhibits instability against small perturbations in the early epoch of the universe but becomes stable in the later times.We also develop its correspondence with some scalar field dark energy models.It is interesting to mention here that all the results are consistent with the present observations.
Gauged motion in general relativity and in Kaluza-Klein theories
Nouri-Zonoz, M; Nouri-Zonoz, Mohammad; Tavanfar, Ali Reza
2003-01-01
In a recent paper [1] a new generalization of Killing motion, the {\\it gauged motion}, has been introduced for stationary spacetimes where it was shown that the physical symmetries of such spacetimes are well described through this new symmetry. In this article after a more detailed study in stationary case we present the definition of gauged motion for general spacetimes. The definition is based on the gauged Lie derivative induced by a threading family of observers and the relevant reparametrization invariance. We also extend the gauged motion to the case of Kaluza-Klein theories.
State-space geometry, non-extremal black holes and Kaluza-Klein monopoles
Bellucci, Stefano
2012-01-01
We examine the statistical nature of the charged anticharged non-extremal black holes in string theory. From the perspective of the intrinsic Riemannian Geometry, the first principle of the statistical mechanics shows that the stability properties of general nonextremal nonlarge charged black brane solutions are divulged from the positivity of the corresponding principle minors of the space-state metric tensor. Under the addition of the Kaluza-Klein monopoles, a novel aspect of the Gaussian fluctuations demonstrates that the canonical fluctuations can be ascertained without any approximation. We offer the state-space geometric implication for the most general non-extremal black brane configurations in string theory.
Mass and Free energy in Thermodynamics of Squashed Kaluza-Klein Black Holes
Kurita, Yasunari
2007-01-01
The Abbott-Deser mass, the Hamiltonian and the Komar mass of the 5-dimensional Kaluza-Klein black hole with squashed horizons take different values. Introducing a new couple of thermodynamic variables for the Komar mass, we show that each mass can be interpreted as a thermodynamic potential with its own natural variables, i.e. all masses are related to each other by the Legendre transformations. It is found that the new variables and the gravitational tension represent the squashing of the outer horizon.
Mass and free energy in the thermodynamics of squashed Kaluza-Klein black holes
Energy Technology Data Exchange (ETDEWEB)
Kurita, Yasunari [Advanced Mathematical Institute, Osaka City University, Osaka 558-8585 (Japan); Ishihara, Hideki [Department of Mathematics and Physics, Osaka City University, Osaka 558-8585 (Japan)
2007-09-07
The Abbott-Deser mass, the Hamiltonian and the Komar mass of the five-dimensional Kaluza-Klein black hole with squashed horizons take different values. Introducing a new couple of thermodynamic variables for the Komar mass, we show that each mass can be interpreted as a thermodynamic potential with its own natural variables, i.e. all masses are related to each other by the Legendre transformations. It is found that the new variables and the gravitational tension represent the squashing of the outer horizon.
Redshift in a six-dimensional classical Kaluza-Klein type model
Syska, Jacek
2015-01-01
Multidimensional theories still remain attractive from the point of view of better understanding fundamental interactions. In this paper a six-dimensional Kaluza-Klein type model at the classical, Einstein's gravity formulation is considered. The static spherically symmetric solution of the six-dimensional Einstein equations coupled to the Klein-Gordon equation with the massless dilatonic field is presented. As it is horizon free, it is fundamentally different from the four-dimensional Schwarzschild solution. The motion of test particles in such a spherically symmetric configuration is then analyzed. The presence of the dilatonic field has a similar dynamical effect as the existence of additional massive matter. The emphasis is put on some observable quantities like redshifts. It has been suggested that strange features of emission lines from galactic nuclei as well as quasar-galaxy associations may in fact be manifestations of the multidimensionality of the world.
The Kaluza-Klein monopole in a massive IIA background
Eyras, E; Lozano, Y
1999-01-01
We construct the effective action of the KK monopole in a massive Spe IIA background. We follow two approaches. First we construct a massive M-theory KK monopole from which the IIA monopole is obtained by double dimensional reduction. This eleven-dimensional monopole contains two isometries: one und
Light Kaluza Klein States in Randall-Sundrum Models with Custodial SU(2)
Energy Technology Data Exchange (ETDEWEB)
Carena, Marcela; /Fermilab; Ponton, Eduardo; /Columbia U.; Santiago, Jose; /Fermilab; Wagner, Carlos E.M.; /Argonne /Chicago U., EFI /KICP, Chicago
2006-07-01
We consider Randall-Sundrum scenarios based on SU(2){sub L} x SU(2){sub R} and a discrete parity exchanging L with R. The custodial and parity symmetries can be used to make the tree level contribution to the T parameter and the anomalous couplings of the bottom quark to the Z very small. We show that the resulting quantum numbers typically induce a negative T parameter at one loop that, together with the positive value of the S parameter, restrict considerably these models. There are nevertheless regions of parameter space that successfully reproduce the fit to electroweak precision observables with light Kaluza-Klein excitations accessible at colliders. We consider models of gauge-Higgs unification that implement the custodial and parity symmetries and find that the electroweak data singles out a very well defined region in parameter space. In this region one typically finds light gauge boson Kaluza-Klein excitations as well as light SU(2){sub L} singlet, and sometimes also doublet, fermionic states, that mix with the top quark, and that may yield interesting signatures at future colliders.
Kaluza-Klein graviton phenomenology for warped compactifications, and the 750 GeV diphoton excess
Giddings, Steven B.; Zhang, Hao
2016-06-01
A generic prediction of scenarios with extra dimensions accessible in TeV-scale collisions is the existence of Kaluza-Klein excitations of the graviton. For a broad class of strongly warped scenarios one expects to initially find an isolated resonance, whose phenomenology in the simplest cases is described by a simplified model with two parameters, its mass, and a constant Λ with units of mass parametrizing its coupling to the Standard Model stress tensor. These parameters are in turn determined by the geometrical configuration of the warped compactification. We explore the possibility that the 750 GeV excess recently seen in 13 TeV data at ATLAS and CMS could be such a warped Kaluza-Klein graviton, and find a best-fit value Λ ≈60 TeV . We find that while there is some tension between this interpretation and data from 8 TeV and from the dilepton channel at 13 TeV, it is not strongly excluded. However, in the simplest scenarios of this kind, such a signal should soon become apparent in both diphoton and dilepton channels.
Dynamics of localized Kaluza-Klein black holes in a collapsing universe
Kastor, David; Sorbo, Lorenzo; Traschen, Jennie
2012-03-01
The Clayton Antitrust Act of 1914 prohibits corporate mergers that would result in certain highly undesired end states. We study an exact solution of the Einstein equations describing localized, charged Kaluza-Klein black holes in a collapsing de Sitter universe and seek to demonstrate that a similar effect holds, preventing a potentially catastrophic black hole merger. As the collapse proceeds, it is natural to expect that the black hole undergoes a topological transition, wrapping around the shrinking compact dimension to merge with itself and form a black string. However, the putative uniform charged black string end state is singular and such a transition would violate (a reasonable notion of) cosmic censorship. We present analytic and numerical evidence that strongly suggests the absence of such a transition. Based on this evidence, we expect that the Kaluza-Klein black hole horizon stays localized, despite the increasingly constraining size of the compact dimension. On the other hand, the de Sitter horizon does change between spherical and cylindrical topologies in a simple way.
Kaluza-Klein graviton phenomenology for warped compactifications, and the 750 GeV diphoton excess
Giddings, Steven B
2016-01-01
A generic prediction of scenarios with extra dimensions accessible in TeV-scale collisions is the existence of Kaluza-Klein excitations of the graviton. For a broad class of strongly-warped scenarios one expects to initially find an isolated resonance, whose phenomenology in the simplest cases is described by a simplified model with two parameters, its mass, and a constant $\\Lambda$ with units of mass parameterizing its coupling to the Standard Model stress tensor. These parameters are in turn determined by the geometrical configuration of the warped compactification. We explore the possibility that the 750 GeV excess recently seen in 13 TeV data at ATLAS and CMS could be such a warped Kaluza-Klein graviton, and find a best-fit value $\\Lambda\\approx 60$ TeV. We find that while there is some tension between this interpretation and data from 8 TeV and from the dilepton channel at 13 TeV, it is not strongly excluded. However, in the simplest scenarios of this kind, such a signal should soon become apparent in bo...
Kaluza-Klein-Carmeli Metric from Quaternion-Clifford Space, Lorentz' Force, and Some Observables
Directory of Open Access Journals (Sweden)
Christianto V.
2008-04-01
Full Text Available It was known for quite long time that a quaternion space can be generalized to a Clifford space, and vice versa; but how to find its neat link with more convenient metric form in the General Relativity theory, has not been explored extensively. We begin with a representation of group with non-zero quaternions to derive closed FLRW metric [1], and from there obtains Carmeli metric, which can be extended further to become 5D and 6D metric (which we propose to call Kaluza-Klein-Carmeli metric. Thereafter we discuss some plausible implications of this metric, beyond describing a galaxy’s spiraling motion and redshift data as these have been done by Carmeli and Hartnett [4, 5, 6]. In subsequent section we explain Podkletnov’s rotating disc experiment. We also note possible implications to quantum gravity. Further observations are of course recommended in order to refute or verify this proposition.
New supernova limit on large extra dimensions: bounds on Kaluza-Klein graviton production.
Hannestad, S; Raffelt, G G
2001-07-30
If large extra dimensions exist in nature, supernova (SN) cores will emit large fluxes of Kaluza-Klein gravitons, producing a cosmic background of these particles with energies and masses up to about 100 MeV. Radiative decays then give rise to a diffuse cosmic gamma-ray background with E(gamma) approximately less than 100 MeV which is well in excess of the observations if more than 0.5%-1% of the SN energy is emitted into the new channel. For two extra dimensions we derive a conservative bound on their radius of R approximately less than 0.9 x 10(-4) mm; for three extra dimensions it is R approximately less than 1.9 x 10(-7) mm.
Construction of a Kaluza-Klein type Theory from One Dimension
Jackson, David J
2016-01-01
We describe how a physical theory incorporating the properties of fields deriving from extra-dimensional structures over a four-dimensional spacetime manifold can in principle be obtained through the analysis of a simple initial structure consisting of the one dimension of time alone, as represented by the real line. The simplicity of this starting point leads to symmetries of multi-dimensional forms of time, from which a geometrical structure can be derived which is similar to the framework employed in non-Abelian Kaluza-Klein theories. This leads to a relationship between the external and internal curvature on the spacetime manifold unified through the underlying constraint of the one dimension of time for the theory presented here. We also describe how the symmetry breaking structure is compatible with the Coleman-Mandula theorem for the subsequent quantisation of the theory.
Casimir Effect Near the Future Singularity in Kaluza Klein Viscous Cosmology
Khadekar, G. S.
2016-02-01
In this paper we investigate the analytical properties of the scalar expansion θ in the cosmic fluid close to the future singularity, when the fluid possesses a constant bulk viscosity ζ in the framework of Kaluza-Klein theory of gravitation. In addition, we assume the viscous cosmology theories in the sense that the Casimir contributions to the energy density and pressure are both proportional to 1/ a 4, where a being scale factor. We also worked out the series expansion for the scalar expansion θ under the condition that the Casimir influence is small. However, near to the big rip singularity the Casimir term has to fade away and we obtain the same singularity behavior for the scalar expansion θ, energy density ρ, the scale factor a as in the Casimir-free viscous case.
Supersymmetric and Kaluza-Klein Particles Multiple Scattering in the Earth
Energy Technology Data Exchange (ETDEWEB)
Albuquerque, Ivone; Klein, Spencer
2009-05-19
Neutrino telescopes with cubic kilometer volume have the potential to discover new particles. Among them are next to lightest supersymmetric (NLSPs) and next to lightest Kaluza-Klein (NLKPs) particles. Two NLSPs or NLKPs will transverse the detector simultaneously producing parallel charged tracks. The track separation inside the detector can be a few hundred meters. As these particles might propagate a few thousand kilometers before reaching the detector, multiple scattering could enhance the pair separation at the detector. We find that the multiple scattering will alter the separation distribution enough to increase the number of NLKP pairs separated by more than 100 meters (a reasonable experimental cut) by up to 46% depending on the NLKP mass. Vertical upcoming NLSPs will have their separation increased by 24% due to multiple scattering.
Tevatron constraint on the Kaluza-Klein gluon of the Bulk Randall-Sundrum model
Guchait, M; Sridhar, K
2007-01-01
The Bulk Randall-Sundrum model, where all Standard Model particles except the Higgs are free to propagate in the bulk, predicts the existence of Kaluza-Klein (KK) modes of the gluon with a large branching into top-antitop pairs. We study the production of the lowest KK gluon mode at the Tevatron energy and use the data on the top cross-section from the Run II of Tevatron to put a bound on the mass of the KK gluon. The resulting bound of 800 GeV, while being much smaller than the constraints obtained on the KK gluon mass from flavour-changing neutral currents, is the first, direct collider bound which is independent of the specificities of the model.
Kaluza-Klein gluon + jets associated production at the Large Hadron Collider
Iyer, A.M.; Manglani, N.; Sridhar, K.
2016-01-01
The Kaluza-Klein excitations of gluons offer the exciting possibility of probing bulk Randall-Sundrum (RS) models. In these bulk models either a custodial symmetry or a deformation of the metric away from AdS is invoked in order to deal with electroweak precision tests. Addressing both these models, we suggest a new channel in which to study the production of KK-gluons ($g_{KK}$): one where it is produced in association with one or more hard jets. The cross-section for the $g_{KK}+$ jets channel is significant because of several contributing sub-processes. In particular, the 1-jet and the 2-jet associated processes are important because at these orders in QCD the $qg$ and the $gg$ initial states respectively come into play. We have performed a hadron-level simulation of the signal and present strategies to effectively extract the signal from what could potentially be a huge background. We present results for the kinematic reach of the LHC Run-II for different $g_{KK}$ masses in bulk-RS models.
Gravitational Kaluza-Klein modes in the String-Cigar Braneworld
Veras, D F S; Cruz, W T; Almeida, C A S
2014-01-01
In this work the gravitational Kaluza-Klein (KK) modes are analysed on string-like braneworlds in six dimensions, namely the thin string-like Gherghetta-Shaposhnikov (GS) and the thick string-cigar model. We find a new massless mode in both modes satisfying the respective Schroedinger equation. By means of numerical analysis for both models, a complete graviton spectrum and eigenfunctions is attained. Besides the linear regime, the KK spectrum exhibits a decreasing behavior with an asymmetric mass gap with respect to the massless mode. The discontinuity is bigger in the GS model, and it is invariant upon the geometrical flow. A massive mode is obtained in the GS model with a tiny mass which does not match in any regime. It turns out that in the string-cigar model, the core brane structure smoothes and amplifies the KK modes near the brane. Further, the presence of a potential well allows the existence of resonant massive gravitons for small masses in the string-cigar scenario.
Strong gravitational lensing in a rotating Kaluza-Klein black hole with squashed horizons
Ji, LiYong; Jing, Jiliang
2014-01-01
We have investigated the strong gravitational lensing in a rotating squashed Kaluza-Klein (KK) black hole spacetime. Our result show that the strong gravitational lensings in the rotating squashed KK black hole spacetime have some distinct behaviors from those in the backgrounds of the four-dimensional Kerr black hole and of the squashed KK G\\"{o}del black hole. In the rotating squashed KK black hole spacetime, the marginally circular photon radius $\\rho_{ps}$, the coefficient $\\bar{a}$, $\\bar{b}$, the deflection angle $\\alpha(\\theta)$ in the $\\phi$ direction and the corresponding observational variables are independent of whether the photon goes with or against the rotation of the background, which is different with those in the usual four-dimensional Kerr black hole spacetime. Moreover, we also find that with the increase of the scale of extra dimension $\\rho_0$, the marginally circular photon radius $\\rho_{ps}$ and the angular position of the relativistic images $\\theta_\\infty$ first decreases and then inc...
Superconformal symmetry in the Kaluza-Klein spectrum of warped AdS(3)
Energy Technology Data Exchange (ETDEWEB)
Schmude, Johannes; Vasilakis, Orestis [Department of Physics, Universidad de Oviedo, Avda. Calvo Sotelo 18, 33007, Oviedo (Spain)
2016-10-18
We study the Kaluza-Klein spectrum of warped AdS{sub 3} compactifications of type IIB with five-form flux which are dual to N=(0,2) SCFTs in two dimensions. We prove that the spectra of fluctuations of both the spin 2 sector of the graviton and the axio-dilaton are bounded. At the bound the modes have the correct quantum numbers to be chiral primaries and descendants thereof respectively. Moreover, we prove that the same modes give rise to superpartners in the dilatino spectrum. Our results show that a subset of the mesonic chiral ring of the dual SCFT is isomorphic to the first Kohn-Rossi cohomology groups. As an example, we consider the compactification of four-dimensional Y{sup p,q} theories on Riemann surfaces for the case of the universal twist. We conclude by studying fluctuations of the three-form, where we are able to identify Betti multiplets after imposing some mild assumptions.
The second Kaluza-Klein neutral Higgs bosons in the minimal Universal Extra Dimension model
Chang, Sanghyeon; Song, Jeonghyeon
2011-01-01
Loop-induced decays of a neutral Higgs boson into a pair of gluon or photon have great implications for the Higgs discovery at the LHC. If the Higgs boson is heavy with mass above $\\sim 500\\gev$, however, these radiative branching ratios are very suppressed in the standard model, as the new decay channels are kinematically open. We note that these radiative decays can be sizable for the heavy second Kaluza-Klein (KK) CP-even $h^\\tw$ and CP-odd $\\chi^\\tw$ modes of the Higgs boson in the minimal universal extra dimension (mUED) model with the KK parity conservation: highly degenerate mass spectrum of the theory prohibits kinematically the dominant KK-number conserving decays into the first KK modes of the $W$, $Z$ and top quark. We find that $h^{(2)} \\to g g$ is absent at one loop level since $h^{(2)}$ couples with different mass eigenstates of $t_{1,2}^\\on$ while the gluon with the same mass eigenstates. The $h^\\tw$ production at the LHC is very suppressed. On the contrary, we have ${\\rm BR} (\\chi^\\tw \\to g g)...
Hamiltonian Map to Conformal Modification of Spacetime Metric:Kaluza-Klein and TeVeS
Horwitz, Lawrence; Schiffer, Marcelo
2009-01-01
It has been shown that the orbits of motion for a wide class of nonrelativistic Hamiltonian systems can be described as geodesic flows on a manifold and an associated dual. This method can be applied to a four dimensional manifold of orbits in spacetime associated with a relativistic system. We show that a relativistic Hamiltonian which generates Einstein geodesics, with the addition of a world scalar field, can be put into correspondence with another Hamiltonian with conformally modified metric. Such a construction could account for part of the requirements of Bekenstein for achieving the MOND theory of Milgrom in the post-Newtonian limit. The constraints on the MOND theory imposed by the galactic rotation curves, through this correspondence, would then imply constraints on the structure of the world scalar field. We then use the fact that a Hamiltonian with vector gauge fields results, through such a conformal map, in a Kaluza-Klein type theory, and indicate how the TeVeS structure can be put into this fram...
Lightest Kaluza-Klein graviton mode in a back-reacted Randall-Sundrum scenario
Energy Technology Data Exchange (ETDEWEB)
Das, Ashmita [Indian Institute of Technology, Department of Physics, Guwahati, Assam (India); SenGupta, Soumitra [Indian Association for the Cultivation of Science, Department of Theoretical Physics, Kolkata (India)
2016-08-15
In search of the extra dimensions in the ongoing LHC experiments, the signatures of the Randall-Sundrum (RS) lightest KK graviton have been in the main focus in recent years. The recent data from the dilepton decay channel at the LHC has determined the experimental lower bound on the mass of the RS lightest Kaluza-Klein (KK) graviton for different choices of the underlying parameters of the theory. In this work we explore the effects of the back-reaction of the bulk scalar field, which is employed to stabilise the RS model, in modifying the couplings of the lightest KK graviton with the standard model matter fields located on the visible brane. In such a modified background geometry we show that the coupling of the lightest KK graviton with the SM matter fields gets a significant suppression due to the inclusion of the back-reaction of the bulk stabilising scalar field. This implies that the back-reaction parameter weakens the signals from the RS scenario in collider experiments, which in turn explains the non-visibility of KK graviton in colliders. Thus we show that the modulus stabilisation plays a crucial role in the search of warped extra dimensions in collider experiments. (orig.)
Kaluza-Klein cosmological model in f(R, T) gravity with Λ(T)
Sahoo, P. K.; Mishra, B.; Tripathy, S. K.
2016-04-01
A class of Kaluza-Klein cosmological models in $f(R,T)$ theory of gravity have been investigated. In the work, we have considered the functional $f(R,T)$ to be in the form $f(R,T)=f(R)+f(T)$ with $f(R)=\\lambda R$ and $f(T)=\\lambda T$. Such a choice of the functional $f(R,T)$ leads to an evolving effective cosmological constant $\\Lambda$ which depends on the stress energy tensor. The source of the matter field is taken to be a perfect cosmic fluid. The exact solutions of the field equations are obtained by considering a constant deceleration parameter which leads two different aspects of the volumetric expansion namely a power law and an exponential volumetric expansion. Keeping an eye on the accelerating nature of the universe in the present epoch, the dynamics and physical behaviour of the models have been discussed. From statefinder diagnostic pair we found that the model with exponential volumetric expansion behaves more like a $\\Lambda$CDM model.
Lightest Kaluza-Klein graviton mode in a back-reacted Randall-Sundrum scenario
Das, Ashmita; SenGupta, Soumitra
2016-08-01
In search of the extra dimensions in the ongoing LHC experiments, the signatures of the Randall-Sundrum (RS) lightest KK graviton have been in the main focus in recent years. The recent data from the dilepton decay channel at the LHC has determined the experimental lower bound on the mass of the RS lightest Kaluza-Klein (KK) graviton for different choices of the underlying parameters of the theory. In this work we explore the effects of the back-reaction of the bulk scalar field, which is employed to stabilise the RS model, in modifying the couplings of the lightest KK graviton with the standard model matter fields located on the visible brane. In such a modified background geometry we show that the coupling of the lightest KK graviton with the SM matter fields gets a significant suppression due to the inclusion of the back-reaction of the bulk stabilising scalar field. This implies that the back-reaction parameter weakens the signals from the RS scenario in collider experiments, which in turn explains the non-visibility of KK graviton in colliders. Thus we show that the modulus stabilisation plays a crucial role in the search of warped extra dimensions in collider experiments.
Kaluza-Klein gluon + jets associated production at the Large Hadron Collider
Iyer, A. M.; Mahmoudi, F.; Manglani, N.; Sridhar, K.
2016-08-01
The Kaluza-Klein excitations of gluons offer the exciting possibility of probing bulk Randall-Sundrum (RS) models. In these bulk models either a custodial symmetry or a deformation of the metric away from AdS is invoked in order to deal with electroweak precision tests. Addressing both these models, we suggest a new channel in which to study the production of KK-gluons (gKK): one where it is produced in association with one or more hard jets. The cross-section for the gKK + jets channel is significant because of several contributing sub-processes. In particular, the 1-jet and the 2-jet associated processes are important because at these orders in QCD the qg and the gg initial states respectively come into play. We have performed a hadron-level simulation of the signal and present strategies to effectively extract the signal from what could potentially be a huge background. We present results for the kinematic reach of the LHC Run-II for different gKK masses in bulk-RS models.
Scale Invariant Kaluza-Klein Theory and the Fate of the Gravitational Collapse
Quirós, I
2002-01-01
Pushing forward the similitudes between the gravitational collapse and the expansion of the universe (in the reversed sense of time), it should be expected that, during the collapse, eventually, a spacetime domain would be reached where attained energy scales are very high. In consequence some of the compactified extra dimensions may be decompactified and some presently broken symmetries may be restored. A more fundamental theory (of which Einstein's theory is a symmetry broken phase) is then expected to take account of further description of the collapse. I propose a simple (classical) model for the description of the late stages of the gravitational collapse: A non-Riemannian, scale-invariant version of 5-dimensional Kaluza-Klein theory in which the standard Riemann structure of the higher-dimensional manifold is replaced by a Weyl-integrable one. A class of solutions, that generalize the "soliton" one by Gross and Perry and Davidson and Owen, is found. This class contains both naked singularities and wormh...
A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
Headrick, Matthew; Wiseman, Toby
2009-01-01
We propose a general framework for solving the Einstein equation for static and Euclidean metrics. First, we address the issue of gauge-fixing by borrowing from the Ricci-flow literature the so-called DeTurck trick, which renders the Einstein equation strictly elliptic and generalizes the usual harmonic-coordinate gauge. We then study two algorithms, Ricci-flow and Newton's method, for solving the resulting Einstein-DeTurck equation. We illustrate the use of these methods by studying localized black holes and non-uniform black strings in five-dimensional Kaluza-Klein theory, improving on previous calculations of their thermodynamic and geometric properties. We study spectra of various operators for these solutions, in particular finding negative modes of the Lichnerowicz operator. We classify the localized solutions into two branches that meet at a minimum temperature. We find good evidence for a merger between the localized and non-uniform solutions. We also find a narrow window of localized solutions that p...
Energy Technology Data Exchange (ETDEWEB)
Kurita, Yasunari [Osaka City University Advanced Mathematical Institute, Osaka 558-8585 (Japan); Ishihara, Hideki [Department of Mathematics and Physics, Osaka City University, Osaka 558-8585 (Japan)], E-mail: kurita@sci.osaka-cu.ac.jp, E-mail: ishihara@sci.osaka-cu.ac.jp
2008-04-21
We investigate thermodynamics constructed on different background reference spacetimes for squashed Kaluza-Klein (SqKK) black hole and electrically charged black string in the five-dimensional Einstein-Maxwell system. Two spacetimes are possible to be reference spacetimes giving finite gravitational classical actions: one is four-dimensional Minkowski times a circle and the other is the KK monopole. The boundary of the SqKK black hole cannot be matched perfectly to that of the former reference spacetime because of the difference in topology. However, the resultant classical action coincides with that calculated by the counterterm subtraction scheme. The boundary of the KK monopole has the same topology as that of the SqKK black hole and can be matched to the boundary of the black hole perfectly. The resultant action takes a different value from the result given by using the former reference spacetime. After a brief review of thermodynamic quantities of the black hole solutions, we calculate thermodynamic potentials relevant for several thermodynamic environments. The most stable state is different for each environment: for example, the KK monopole is the most stable state in an isothermal environment with fixed gravitational tension. On the other hand, when the size of the extra dimension is fixed, the Minkowski times a circle is the most stable. It is shown that these two spacetimes can be reference spacetimes of the five-dimensional black string.
Energy Technology Data Exchange (ETDEWEB)
IceCube Collaboration; Abbasi, R.; al., et
2009-10-23
A search for muon neutrinos from Kaluza-Klein dark matter annihilations in the Sun has been performed with the 22-string configuration of the IceCube neutrino detector using data collected in 104.3 days of live-time in 2007. No excess over the expected atmospheric background has been observed. Upper limits have been obtained on the annihilation rate of captured lightest Kaluza-Klein particle (LKP) WIMPs in the Sun and converted to limits on the LKP-proton cross-sections for LKP masses in the range 250 - 3000 GeV. These results are the most stringent limits to date on LKP annihilation in the Sun.
Abbasi, R.; Abdou, Y.; Abu-Zayyad, T.; Adams, J.; Aguilar, J. A.; Ahlers, M.; Andeen, K.; Auffenberg, J.; Bai, X.; Baker, M.; Barwick, S. W.; Bay, R.; Bazo Alba, J. L.; Beattie, K.; Beatty, J. J.; Bechet, S.; Becker, J. K.; Becker, K.-H.; Benabderrahmane, M. L.; Berdermann, J.; Berghaus, P.; Berley, D.; Bernardini, E.; Bertrand, D.; Besson, D. Z.; Bissok, M.; Blaufuss, E.; Boersma, D. J.; Bohm, C.; Bolmont, J.; Botner, O.; Bradley, L.; Braun, J.; Breder, D.; Carson, M.; Castermans, T.; Chirkin, D.; Christy, B.; Clem, J.; Cohen, S.; Cowen, D. F.; D'Agostino, M. V.; Danninger, M.; Day, C. T.; de Clercq, C.; Demirörs, L.; Depaepe, O.; Descamps, F.; Desiati, P.; de Vries-Uiterweerd, G.; Deyoung, T.; Díaz-Vélez, J. C.; Dreyer, J.; Dumm, J. P.; Duvoort, M. R.; Edwards, W. R.; Ehrlich, R.; Eisch, J.; Ellsworth, R. W.; Engdegård, O.; Euler, S.; Evenson, P. A.; Fadiran, O.; Fazely, A. R.; Feusels, T.; Filimonov, K.; Finley, C.; Foerster, M. M.; Fox, B. D.; Franckowiak, A.; Franke, R.; Gaisser, T. K.; Gallagher, J.; Ganugapati, R.; Gerhardt, L.; Gladstone, L.; Goldschmidt, A.; Goodman, J. A.; Gozzini, R.; Grant, D.; Griesel, T.; Groß, A.; Grullon, S.; Gunasingha, R. M.; Gurtner, M.; Ha, C.; Hallgren, A.; Halzen, F.; Han, K.; Hanson, K.; Hasegawa, Y.; Helbing, K.; Herquet, P.; Hickford, S.; Hill, G. C.; Hoffman, K. D.; Homeier, A.; Hoshina, K.; Hubert, D.; Huelsnitz, W.; Hülß, J.-P.; Hulth, P. O.; Hultqvist, K.; Hussain, S.; Imlay, R. L.; Inaba, M.; Ishihara, A.; Jacobsen, J.; Japaridze, G. S.; Johansson, H.; Joseph, J. M.; Kampert, K.-H.; Kappes, A.; Karg, T.; Karle, A.; Kelley, J. L.; Kemming, N.; Kenny, P.; Kiryluk, J.; Kislat, F.; Klein, S. R.; Knops, S.; Kohnen, G.; Kolanoski, H.; Köpke, L.; Koskinen, D. J.; Kowalski, M.; Kowarik, T.; Krasberg, M.; Krings, T.; Kroll, G.; Kuehn, K.; Kuwabara, T.; Labare, M.; Lafebre, S.; Laihem, K.; Landsman, H.; Lauer, R.; Lehmann, R.; Lennarz, D.; Lucke, A.; Lundberg, J.; Lünemann, J.; Madsen, J.; Majumdar, P.; Maruyama, R.; Mase, K.; Matis, H. S.; McParland, C. P.; Meagher, K.; Merck, M.; Mészáros, P.; Meures, T.; Middell, E.; Milke, N.; Miyamoto, H.; Montaruli, T.; Morse, R.; Movit, S. M.; Nahnhauer, R.; Nam, J. W.; Nießen, P.; Nygren, D. R.; Odrowski, S.; Olivas, A.; Olivo, M.; Ono, M.; Panknin, S.; Patton, S.; Paul, L.; Pérez de Los Heros, C.; Petrovic, J.; Piegsa, A.; Pieloth, D.; Pohl, A. C.; Porrata, R.; Potthoff, N.; Price, P. B.; Prikockis, M.; Przybylski, G. T.; Rawlins, K.; Redl, P.; Resconi, E.; Rhode, W.; Ribordy, M.; Rizzo, A.; Rodrigues, J. P.; Roth, P.; Rothmaier, F.; Rott, C.; Roucelle, C.; Rutledge, D.; Ruzybayev, B.; Ryckbosch, D.; Sander, H.-G.; Sarkar, S.; Schatto, K.; Schlenstedt, S.; Schmidt, T.; Schneider, D.; Schukraft, A.; Schulz, O.; Schunck, M.; Seckel, D.; Semburg, B.; Seo, S. H.; Sestayo, Y.; Seunarine, S.; Silvestri, A.; Slipak, A.; Spiczak, G. M.; Spiering, C.; Stamatikos, M.; Stanev, T.; Stephens, G.; Stezelberger, T.; Stokstad, R. G.; Stoufer, M. C.; Stoyanov, S.; Strahler, E. A.; Straszheim, T.; Sulanke, K.-H.; Sullivan, G. W.; Swillens, Q.; Taboada, I.; Tamburro, A.; Tarasova, O.; Tepe, A.; Ter-Antonyan, S.; Terranova, C.; Tilav, S.; Toale, P. A.; Tooker, J.; Tosi, D.; Turčan, D.; van Eijndhoven, N.; Vandenbroucke, J.; van Overloop, A.; van Santen, J.; Voigt, B.; Walck, C.; Waldenmaier, T.; Wallraff, M.; Walter, M.; Wendt, C.; Westerhoff, S.; Whitehorn, N.; Wiebe, K.; Wiebusch, C. H.; Wiedemann, A.; Wikström, G.; Williams, D. R.; Wischnewski, R.; Wissing, H.; Woschnagg, K.; Xu, C.; Xu, X. W.; Yodh, G.; Yoshida, S.; IceCube Collaboration
2010-03-01
A search for muon neutrinos from Kaluza-Klein dark matter annihilations in the Sun has been performed with the 22-string configuration of the IceCube neutrino detector using data collected in 104.3 days of live time in 2007. No excess over the expected atmospheric background has been observed. Upper limits have been obtained on the annihilation rate of captured lightest Kaluza-Klein particle (LKP) WIMPs in the Sun and converted to limits on the LKP-proton cross sections for LKP masses in the range 250-3000 GeV. These results are the most stringent limits to date on LKP annihilation in the Sun.
Directory of Open Access Journals (Sweden)
E. V. B. Leite
2015-01-01
Full Text Available Based on the Kaluza-Klein theory, we study the Aharonov-Bohm effect for bound states for a relativistic scalar particle subject to a Coulomb-type potential. We introduce this scalar potential as a modification of the mass term of the Klein-Gordon equation, and a magnetic flux through the line element of the Minkowski spacetime in five dimensions. Then, we obtain the relativistic bound states solutions and calculate the persistent currents.
Energy Technology Data Exchange (ETDEWEB)
Rizzo, T.G.
2000-01-24
The authors review the capability of e{sup +}e{sup {minus}} and e{sup {minus}}e{sup {minus}} colliders to detect the virtual exchange of Kaluza-Klein towers of gravitons within the large extra dimension scenario of Arkani-Hamed, Dimopoulos and Dvali and in the localized gravity model of Randall and Sundrum with non-factorizable geometry.
Karsai, Szilvia; Forgács-Dajka, Emese; Pósfay, Péter
2016-01-01
We present the correspondence between non-interacting multi-hadron fermion star equation of state in the many-flavor limit and the degrees of freedom of a Kaluza\\,--\\,Klein compact star. Many flavors can be interpreted in this framework as one extra compacti\\-fied spatial dimension with various, more-and-more massive hadron state excitations. The effect of increasing the degrees of freedom was investigated on the equation of state and in connection with the mass-radius relation, $M(R)$. The maximum mass of the star, $M_{\\mathrm{max}}$ were also calculated as a function of the maximum number of excited states, $n$ and the size of the compactified extra dimension, $R_{\\mathrm{c}}$.
Energy Technology Data Exchange (ETDEWEB)
Choudhury, Sayantan [Indian Statistical Institute, Physics and Applied Mathematics Unit, Kolkata (India); SenGupta, Soumitra [Indian Association for the Cultivation of Science, Department of Theoretical Physics, Kolkata (India)
2014-11-15
In this paper we study the role of the 5D Gauss-Bonnet corrections and two-loop higher genus contribution to the gravity action in type IIB string theory inspired low energy supergravity theory in the light of gravidilatonic interactions on the lightest Kaluza-Klein graviton mass spectrum. From the latest constraints on the lightest Kaluza-Klein graviton mass as obtained from the ATLAS dilepton search in 7 TeV proton-proton collision experiments, we have shown that due to the presence of Gauss-Bonnet and string loop corrections, the warping solution in an AdS{sub 5} bulk is quite distinct from the Randall-Sundrum scenario. We discuss the constraints on the model parameters to fit with the present ATLAS data. (orig.)
Acosta, D; Affolder, T; Akimoto, H; Albrow, M G; Ambrose, D; Amidei, D; Anikeev, K; Antos, J; Apollinari, G; Arisawa, T; Artikov, A; Asakawa, T; Ashmanskas, W; Azfar, F; Azzi-Bacchetta, P; Bacchetta, N; Bachacou, H; Badgett, W F; Bailey, S; De Barbaro, P; Barbaro-Galtieri, A; Barnes, V E; Barnett, B A; Baroiant, S; Barone, M; Bauer, G; Bedeschi, F; Behari, S; Belforte, S; Bell, W H; Bellettini, Giorgio; Bellinger, J; Benjamin, D; Bensinger, J; Beretvas, A; Berryhill, J W; Bhatti, A A; Binkley, M; Bisello, D; Bishai, M; Blair, R E; Blocker, C; Bloom, K; Blumenfeld, B; Blusk, S R; Bocci, A; Bodek, A; Bölla, G; Bolshov, A; Bonushkin, Yu; Bortoletto, Daniela; Boudreau, J; Brandl, A; Bromberg, C; Brozovic, M; Brubaker, E; Bruner, N; Budagov, Yu A; Budd, H S; Burkett, K; Busetto, G; Byrum, K L; Cabrera, S; Calafiura, P; Campbell, M; Carithers, W C; Carlson, J; Carlsmith, D; Caskey, W; Castro, A; Cauz, D; Cerri, A; Cerrito, L; Chan, A W; Chang, P S; Chang, P T; Chapman, J; Chen, C; Chen, Y C; Cheng, M T; Chertok, M; Chiarelli, G; Chirikov-Zorin, I E; Chlachidze, G; Chlebana, F; Christofek, L; Chu, M L; Chung, J Y; Chung, W H; Chung, Y S; Ciobanu, C I; Clark, A G; Coca, M; Connolly, A; Convery, M; Conway, J; Cordelli, M; Cranshaw, J; Culbertson, R; Dagenhart, D; D'Auria, S; De Cecco, S; De Jongh, F; Dell'Agnello, S; Dell'Orso, Mauro; Demers, S; Demortier, L; Deninno, M; De Pedis, D; Derwent, P F; Devlin, T; Dionisi, C; Dittmann, J R; Dominguez, A; Donati, S; D'Onofrio, M; Dorigo, T; Eddy, N; Einsweiler, K F; Engels, E; Erbacher, R D; Errede, D; Errede, S; Eusebi, R; Fan, Q; Farrington, S; Feild, R G; Fernández, J P; Ferretti, C; Field, R D; Fiori, I; Flaugher, B; Flores-Castillo, L R; Foster, G W; Franklin, M; Freeman, J; Friedman, J; Fukui, Y; Furic, I; Galeotti, S; Gallas, A; Gallinaro, M; Gao, T; García-Sciveres, M; Garfinkel, A F; Gatti, P; Gay, C; Gerdes, D W; Gerstein, E; Giagu, S; Giannetti, P; Giolo, K; Giordani, M; Giromini, P; Glagolev, V; Glenzinski, D A; Gold, M; Goldschmidt, N; Goldstein, J; Gómez, G; Goncharov, M; Gorelov, I; Goshaw, A T; Gotra, Yu; Goulianos, K; Green, C; Gresele, A; Grim, G; Grosso-Pilcher, C; Günther, M; Guillian, G; Guimarães da Costa, J; Haas, R M; Haber, C; Hahn, S R; Halkiadakis, E; Hall, C; Handa, T; Handler, R; Happacher, F; Hara, K; Hardman, A D; Harris, R M; Hartmann, F; Hatakeyama, K; Hauser, J; Heinrich, J; Heiss, A; Hennecke, M; Herndon, M; Hill, C; Höcker, A; Hoffman, K D; Hollebeek, R J; Holloway, L E; Hou, S; Huffman, B T; Hughes, R; Huston, J; Huth, J; Ikeda, H; Issever, C; Incandela, J R; Introzzi, G; Iori, M; Ivanov, A; Iwai, J; Iwata, Y; Iyutin, B; James, E; Jones, M; Joshi, U; Kambara, H; Kamon, T; Kaneko, T; Kang, J; Karagoz-Unel, M; Karr, K M; Kartal, S; Kasha, H; Kato, Y; Keaffaber, T A; Kelley, K; Kelly, M; Kennedy, R D; Kephart, R D; Khazins, D; Kikuchi, T; Kilminster, B; Kim, B J; Kim, D H; Kim, H S; Kim, M J; Kim, S B; Kim, S H; Kim, T H; Kim, Y K; Kirby, M; Kirk, M; Kirsch, L; Klimenko, S; Koehn, P; Kondo, K; Konigsberg, J; Korn, A J; Korytov, A; Kotelnikov, K A; Kovács, E; Kroll, J; Kruse, M; Krutelyov, V; Kuhlmann, S E; Kurino, K; Kuwabara, T; Kuznetsova, N; Laasanen, A T; Lai, N; Lami, S; Lammel, S; Lancaster, J; Lannon, K; Lancaster, M; Lander, R; Lath, A; Latino, G; LeCompte, T J; Le, Y; Lee, J; Lee, S W; Leonardo, N; Leone, S; Lewis, J D; Li, K; Lin, C S; Lindgren, M; Liss, T M; Liu, J B; Liu, T; Liu, Y C; Litvintsev, D O; Lobban, O; Lockyer, N S; Loginov, A; Loken, J; Loreti, M; Lucchesi, D; Lukens, P; Lusin, S; Lyons, L; Lys, J; Madrak, R; Maeshima, K; Maksimovic, P; Malferrari, L; Mangano, Michelangelo L; Manca, G; Mariotti, M; Martignon, G; Martin, M; Martin, A; Martin, V; Martínez, M; Matthews, J A J; Mazzanti, P; McFarland, K S; McIntyre, P; Menguzzato, M; Menzione, A; Merkel, P; Mesropian, C; Meyer, A; Miao, T; Miller, R; Miller, J S; Minato, H; Miscetti, S; Mishina, M; Mitselmakher, G; Miyazaki, Y; Moggi, N; Moore, E; Moore, R; Morita, Y; Moulik, T; Mulhearn, M; Mukherjee, A; Müller, T; Munar, A; Murat, P; Murgia, S; Nachtman, J; Nagaslaev, V; Nahn, S; Nakada, H; Nakano, I; Napora, R; Niell, F; Nelson, C; Nelson, T; Neu, C; Neubauer, M S; Neuberger, D; Newman-Holmes, C; Ngan, C Y P; Nigmanov, T; Niu, H; Nodulman, L; Nomerotski, A; Oh, S H; Oh, Y D; Ohmoto, T; Ohsugi, T; Oishi, R; Okusawa, T; Olsen, J; Orejudos, W; Pagliarone, C; Palmonari, F; Paoletti, R; Papadimitriou, V; Partos, D; Patrick, J; Pauletta, G; Paulini, M; Pauly, T; Paus, C; Pellett, D; Penzo, Aldo L; Pescara, L; Phillips, T J; Piacentino, G; Piedra, J; Pitts, K T; Pompos, A; Pondrom, L; Pope, G; Pratt, T; Prokoshin, F; Proudfoot, J; Ptohos, F; Pukhov, O; Punzi, G; Rademacker, J; Rakitine, A; Ratnikov, F; Ray, H; Reher, D; Reichold, A; Renton, P B; Rescigno, M; Ribon, A; Riegler, W; Rimondi, F; Ristori, L; Riveline, M; Robertson, W J; Rodrigo, T; Rolli, S; Rosenson, L; Roser, R; Rossin, R; Rott, C; Roy, A; Ruiz, A; Ryan, D; Safonov, A; Saint-Denis, R; Sakumoto, W K; Saltzberg, D; Sánchez, C; Sansoni, A; Santi, L; Sarkar, S; Sato, H; Savard, P; Savoy-Navarro, A; Schlabach, P; Schmidt, E E; Schmidt, M P; Schmitt, M; Scodellaro, L; Scott, A; Scribano, A; Sedov, A; Seidel, S; Seiya, Y; Semenov, A; Semeria, F; Shah, T; Shapiro, M D; Shepard, P F; Shibayama, T; Shimojima, M; Shochet, M J; Sidoti, A; Siegrist, J L; Sill, A; Sinervo, P; Singh, P; Slaughter, A J; Sliwa, K; Snider, F D; Snihur, R; Solodsky, A; Speer, T; Spezziga, M; Sphicas, Paris; Spinella, F; Spiropulu, M; Spiegel, L; Steele, J; Stefanini, A; Strologas, J; Strumia, F; Stuart, D; Sukhanov, A; Sumorok, K; Suzuki, T; Takano, T; Takashima, R; Takikawa, K; Tamburello, P; Tanaka, M; Tannenbaum, B; Tecchio, M; Tesarek, R J; Teng, P K; Terashi, K; Tether, S; Thom, J; Thompson, A S; Thomson, E; Thurman-Keup, R M; Tipton, P; Tkaczyk, S M; Toback, D; Tollefson, K; Tonelli, D; Tonnesmann, M; Toyoda, H; Trischuk, W; De Trocóniz, J F; Tseng, J; Tsybychev, D; Turini, N; Ukegawa, F; Unverhau, T; Vaiciulis, T; Varganov, A V; Vataga, E; Vejcik, S; Velev, G V; Veramendi, G; Vidal, R; Vila, I; Vilar, R; Volobuev, I P; Von der Mey, M; Vucinic, D; Wagner, R G; Wagner, R L; Wagner, W; Wan, Z; Wang, C; Wang, M J; Wang, S M; Ward, B; Waschke, S; Watanabe, T; Waters, D; Watts, T; Weber, M; Wenzel, H; Wester, W C; Whitehouse, B; Wicklund, A B; Wicklund, E; Wilkes, T; Williams, H H; Wilson, P; Winer, B L; Winn, D; Wolbers, S; Wolinski, D; Wolinski, J; Wolinski, S; Wolter, M; Worm, S; Wu, X; Würthwein, F; Wyss, J; Yang, U K; Yao, W; Yeh, G P; Yeh, P; Yi, K; Yoh, J K; Yosef, C; Yoshida, T; Yu, I; Yu, S; Yu, Z; Yun, J C; Zanello, L; Zanetti, A; Zetti, F; Zucchelli, S
2003-01-01
We report on a search for direct Kaluza-Klein graviton production in a data sample of 84 ${pb}^{-1}$ of \\ppb collisions at $\\sqrt{s}$ = 1.8 TeV, recorded by the Collider Detector at Fermilab. We investigate the final state of large missing transverse energy and one or two high energy jets. We compare the data with the predictions from a $3+1+n$-dimensional Kaluza-Klein scenario in which gravity becomes strong at the TeV scale. At 95% confidence level (C.L.) for $n$=2, 4, and 6 we exclude an effective Planck scale below 1.0, 0.77, and 0.71 TeV, respectively.
Institute of Scientific and Technical Information of China (English)
Li Hui-Ling
2011-01-01
This paper is devoted to the investigation the fermion tunneling radiation of squashed black holes in the Godel universe and charged Kaluza-Klein space-time. For black holes with different dimensions, establishing a set of appropriate matrices γμ for the general covariant Dirac equation plays an important role in the semi-classical tunneling method. By constructing two sets of γμ matrices, we have successfully derived the tunneling probability and Hawking temperature of the black holes.
Lukman, D
2016-01-01
This contribution is to prove that in the Kaluza-Klein like theories the vielbeins and the spin connection fields --- as used in the spin-charge-family theory --- lead in $d=(3+1)$ space to equivalent vector (and scalar) gauge fields. The authors demonstrate this equivalence in spaces with the symmetry: $g_{\\alpha \\beta} = \\eta_{\\alpha \\beta} e$, for any scalar function $e$ of the coordinates $x^{\\alpha}$.
Einstein-Yang-Mills-Dirac systems from the discretized Kaluza-Klein theory
Nguyen, Ai Viet; Nguyen, Suan Han; Wali, Kameshwar C
2016-01-01
A unified theory of the non-Abelian gauge interactions with gravity in the framework of a discretized Kaluaza-Kleine theory is constructed with a modified Dirac operator and wedge product. All the couplings of chiral spinors to the non-Abelian gauge fields emerge naturally as components of the couplings of the chiral spinors to the generalized gravity together with some new interactions. In particular, the currently prevalent gravity-QCD-quark and gravity-electroweak-quark-lepton models are shown to follow as special cases of the general framework.
Energy Technology Data Exchange (ETDEWEB)
Savina, M. V., E-mail: savina@cern.ch [Joint Institute for Nuclear Research (Russian Federation)
2015-06-15
A survey of the results of the Compact Muon Solenoid (CMS) experiment that concern searches for massive Kaluza-Klein graviton excitations and microscopic black holes, quantum black holes, and string balls within models of low-energy multidimensional gravity is presented on behalf of the CMS Collaboration. The analysis in question is performed on the basis of a complete sample of data accumulated for proton-proton collisions at the c.m. energies of 7 and 8 TeV at the Large Hadron Collider (LHC) over the period spanning 2010 and 2012.
Gauge invariance, quantization and integration of heavy modes in a gauge Kaluza-Klein theory
Novales-Sánchez, H.
This dissertation examines topics at the intersection of environmental and energy economics. The first two chapters explore how policies can induce more efficient use of the energy sources available for generating electricity. The electricity sector is a major source of a wide variety of harmful pollutants. To mitigate the environmental impacts of electricity production, a variety of policies are being implemented to increase the quantity of generation from clean, renewable energy sources. The first chapter identifies the short-run reductions in emissions caused by generation from a particular renewable technology; wind turbines. Using the estimates of the pollution offset by the renewable production, I explore the efficiency of the incentives created by the current set of renewable energy policies. The second chapter examines the impact adding bulk electricity storage capacity will have on the full social costs of generating electricity. The third chapter explores the impact of various gasoline tax structures on both retail price volatility and state revenue volatility.
Energy Technology Data Exchange (ETDEWEB)
Lukman, Dragan; Mankoc Borstnik, Norma Susana [University of Ljubljana, Department of Physics, FMF, Ljubljana (Slovenia)
2017-04-15
It is shown that in the spin-charge-family theory (Mankoc Borstnik in arXiv:1607.01618v2, 2016, Phys Rev D 91:065004. arxiv:1409.7791, 2015, J Mod Phys 6:2244. doi:10.4236/jmp.2015.615230. arXiv: 1409.4981, 2015, J Mod Phys 4:823. doi:10.4236/jmp.2013.46113. arxiv:1312.1542, 2013, arxiv:1409.4981, 2014) as well as in all the Kaluza-Klein like theories (Blagojevic in Gravitation and gauge symmetries, IoP Publishing, Bristol, 2002, An introduction to Kaluza-Klein theories, World Scientific, Singapore, 1983), vielbeins and spin connections manifest in d = (3+1) space equivalent vector gauge fields, when space with d ≥ 5 has a large enough symmetry. The authors demonstrate this equivalence in spaces with the symmetry of the metric tensor in the space out of d = (3+1)-g{sup στ} = η{sup στ} f{sup 2} - for any scalar function f of the coordinates x{sup σ}, where x{sup σ} denotes the coordinates of space out of d = (3+1). Also the connection between vielbeins and scalar gauge fields in d = (3+1) (offering the explanation for the Higgs scalar) is discussed. (orig.)
Di Troia, Claudio
2016-01-01
The non perturbative guiding center transformation [Di Troia C., Phys. Plasmas 22, 042103 (2015)] is extended to the relativistic regime. The single particle dynamic is described in the Minkowski flat space-time. The main solutions are obtained in covariant form: the gyrating particle solutions and the guiding particle solution, both in gyro-kinetic as in MHD orderings. It is shown the relevance of the ideal Ohm's law in the context of the guiding center transformation. Moreover, it is also considered the presence of a gravitational field. The way to introduce the gravitational field is original and based on the Einstein conjecture on the feasibility to extend the general relativity theory to include electromagnetism. In gyro-kinetic theory, some interesting novelties appear in a natural way, such as the exactness of the conservation of magnetic moment, or the fact that the gyro-phase is treated as the non observable fifth dimension of the Kaluza-Klein model.
Photo-production of a 750 GeV di-photon resonance mediated by Kaluza-Klein leptons in the loop
Abel, Steven; Khoze, Valentin V.
2016-05-01
We consider the phenomenology of a 750 GeV resonance X which can be produced at the LHC by only photon fusion and subsequently decay into di-photons. We propose that the spin-zero state X is coupled to a heavy lepton that lives in the bulk of a higher-dimensional theory and interacts only with the photons of the Standard Model. We compute the di-photon rate in these models with two and more compact extra dimensions and demonstrate that they allow for a compelling explanation of the di-photon excess recently observed by the ATLAS and CMS collaborations. The central role in our approach is played by the summation over the Kaluza-Klein modes of the new leptons, thus providing a significant enhancement of the X → γγ loops for the production and decay subprocesses. It is expected that the jet activity accompanying these purely electromagnetic (at the partonic level) processes is numerically suppressed by factors such as {α}_{em}^2{{C}}_{qoverline{q}}/{{C}}_{γ γ}˜ 1{0}^{-3}.
Pasqua, Antonio; Chattopadhyay, Surajit; Assaf, Khudhair A.; Salako, Ines G.
2016-06-01
In this paper, we study the properties of the Holographic Dark Energy (HDE) model in the context of Kaluza-Klein (KK) cosmology with infrared cut-off given by the recently proposed by Granda-Oliveros cut-off, which contains a term proportional to the time derivative of the Hubble parameter and one proportional to the Hubble parameter squared. Moreover, this cut-off is characterized by two free parameters which are the proportional constants of the two terms of the cut-off. We derive the expression of the Equation of State (EoS) parameter ωD and of the deceleration parameter q for both non-interacting and interacting Dark Sectors and in the limiting case of a flat Dark Dominated Universe. Moreover, we study the squared speed of the sound vs2 and the statefinder diagnostic \\{r,s\\} in order to understand the cosmological properties of the model considered. We also develop a correspondence between the model considered and three scalar field models: the tachyon, the k-essence and the quintessence ones.
Photo-production of a 750 GeV di-photon resonance mediated by Kaluza-Klein leptons in the loop
Abel, Steven
2016-01-01
We consider the phenomenology of a 750 GeV resonance X which can be produced at the LHC by only photon fusion and subsequently decay into di-photons. We propose that the spin-zero state X is coupled to a heavy lepton that lives in the bulk of a higher-dimensional theory and interacts only with the photons of the Standard Model. We compute the di-photon rate in these models with two and more compact extra dimensions and demonstrate that they allow for a compelling explanation of the di-photon excess recently observed by the ATLAS and CMS collaborations. The central role in our approach is played by the summation over the Kaluza-Klein modes of the new leptons, thus providing a significant enhancement of the $X\\to \\gamma\\gamma$ loops for the production and decay subprocesses. It is expected that the jet activity accompanying these purely electromagnetic (at the partonic level) processes is numerically suppressed by factors such as $\\alpha_{em}^2 C_{q\\bar{q}}/C_{\\gamma\\gamma}\\sim 10^{-3}$.
Energy Technology Data Exchange (ETDEWEB)
Lahrichi, N
2004-07-01
In this thesis we have put the first constraints on the fundamental parameters of the Randall-Sundrum model of extra dimensions, k/M{sub Pl} which is proportional to the coupling of the graviton to the standard model fields and M{sub G} which is the mass of the first excited state of the Kaluza-Klein graviton. The analysis performed on Monte Carlo sample of the signal allowed to find an error in the PYTHIA generator. The elaboration of an independent generator dedicated for this special analysis helped to find out and correct the error. The data sample used for the analysis covers the period running from november 2002 up to july 2003 taken by the D0 collaboration at Tevatron, which corresponds to an accumulated luminosity of 107,8 pb{sup -1}. The search for the graviton in the dimuon channel allowed to measure the Z production cross-section multiplied by the branching ratio in dimuons. (author)
Kaluza-Klein mixmaster universes
Energy Technology Data Exchange (ETDEWEB)
Barrow, J.D.; Stein-Schabes, J.
1985-09-15
We analyze the behavior of some Bianchi type-IX, mixmaster cosmological models possessing extra dimensions. We find that, unlike the three-dimensional case, they do not exhibit chaotic behavior on approach to their initial singularity. A finite sequence of stochastic mixmaster oscillations is, in general, replaced by monotonic contraction of the three-space scale factors on approach to a singularity whenever additional spatial dimensions exist with the metric form we consider.
Institute of Scientific and Technical Information of China (English)
吴迪; 吴双清; 杨树政
2015-01-01
将转动带电的Rasheed-Larsen双荷黑洞解推广到ω-变形的Kaluza-Klein超引力理论中,得到了新的ω-变形的转动双荷黑洞精确解,并对其热力学性质进行了仔细地分析,发现除了在电磁规范势1-形式、电荷、磁荷、静电势和静磁势中需要同时作一个电磁对偶转动以外,ω-变形参数对黑洞度规、质量、角动量、热力学第一定律和Smarr公式没有影响.
Peng, Jun-Jin
2016-01-01
In this paper, we investigate the conserved charges of generally diffeomorphism invariant gravity theories with a wide variety of matter fields, particularly of the theories with multiple scalar fields and $p$-form potentials, in the context of the off-shell generalized Abbott-Deser-Tekin (ADT) formalism. We first construct a new off-shell ADT current that consists of the terms for the variation of a Killing vector and expressions of the field equations as well as the Lie derivative of a surface term with respect to the Killing vector within the framework of generally diffeomorphism invariant gravity theories involving various matter fields. After deriving the off-shell ADT potential corresponding to this current, we propose a formula of conserved charges for these theories due to the potential. Next, we derive the off-shell ADT potential associated with the generic Lagrangian that describes a large range of gravity theories with a number of scalar fields and $p$-form potentials. Finally, the properties of th...
Alfaro, J; Labraña, P; Alfaro, Jorge; Andrianov, Alexander; Labraña, Pedro
2003-01-01
In this paper we study a reduced QCD model in $(1+1)$ dimensions obtained from QCD in 4D by compactifying two spatial dimensions. We work out this model in the large $N_c$ limit and using light cone gauge. This system is found to induce a dynamical mass for transverse gluons -- adjoint scalars in $QCD_2$, and to undergo a spontaneous chiral symmetry breaking with the full quark propagators yielding non-tachyonic, dynamical quark masses, even in the chiral limit. We study quark-antiquark bound states which can be classified in this model by their properties under Lorentz transformations in 4D. The scalar and pseudoscalar sectors of the theory are examined revealing a massless ground state for pseudoscalars, different from the so called 't Hooft pion solution, and a massive spectrum for scalars.
Kaluza-Klein Theories Without Truncation
Becker, Katrin; Robbins, Daniel
2014-01-01
In this note we present a closed expression for the space-time effective action for all bosonic fields (massless and massive) obtained from the compactification of gravity or supergravity theories (such as type II or eleven-dimensional supergravities) from $D$ to $d$ space-time dimensions.
Kaluza-Klein Magnetized Cylindrical Wormhole
Hashemi, S Sedigheh
2015-01-01
A new exact vacuum solution in five dimensions, which describes a magnetized cylindrical wormhole in $3+1$ dimensions is presented. The magnetic field lines are stretched along the wormhole throat and are concentrated near to it. We study the motion of neutral and charged test particles under the influence of the magnetized wormhole. The effective potential for a neutral test particle around and across the magnetized wormhole has a repulsive character. The total magnetic flux on either side of the wormhole is obtained. We present analytic expressions which show regions in which the null energy condition is violated.
Kaluza-Klein Aspects of Noncommutative Geometry
Madore, J
2015-01-01
Using some elementary methods from noncommutative geometry a structure is given to a point of space-time which is different from and simpler than that which would come from extra dimensions. The structure is described by a supplementary factor in the algebra which in noncommutative geometry replaces the algebra of functions. Using different examples of algebras it is shown that the extra structure can be used to describe spin or isospin.
Particle Creation in Kaluza-Klein Cosmology
Huang, W H
1989-01-01
We exactly calculate the particle number $N$ of scalar fields which are created from an initial vacuum in certain higher-dimensional cosmological models. The spacetimes in these models are the four-dimensional Chitre-Hartle or radiation-dominated universe with extra spaces which are static or power-law contracting. Except for some models in which no particles could be produced, the distribution of created particles shows a thermal behavior, at least in the limit of high three-dimensional "momentum" $k$. In some models, $N$ does not depend on the magnitude of the extra-dimensional "momentum" $k_c$ if $k_c$ is nonvanishing. A cutoff momentum $k_c$ may emerge in some models, and particles with $k\\le k_c$ could not be produced. We also discuss these results.
Compact stars in Kaluza -Klein World
Gábor Barnaföldi, Gergely; Lévai, Péter; Lukács, Béla
2010-03-01
Unification and geometrization of interactions has been extensively studied during the XX. century. In this short contribution we investigated the possible effect of an extra compactified dimension (alias hypercharge) on a flavor dependent gravitational potential, proposed by Fischbach et al.. We estimated the deviation from the 3 + 1 dimensional scheme and found that, although the deviation is moderate, for celestial compact object it may be higher by orders of magnitude than in terrestrial laboratory measurements.
Coset space dimensional reduction of Einstein-Yang-Mills theory
Energy Technology Data Exchange (ETDEWEB)
Chatzistavrakidis, A. [Institute of Nuclear Physics, NCSR Demokritos, 15310 Athens (Greece); Physics Department, National Technical University of Athens, 15780 Zografou Campus, Athens (Greece); Manousselis, P. [Physics Department, National Technical University of Athens, 15780 Zografou Campus, Athens (Greece); Department of Engineering Sciences, University of Patras, 26110 Patras (Greece); Prezas, N. [Theory Unit, Physics Department, 1211 Geneva (Switzerland); Zoupanos, G.
2008-04-15
In the present contribution we extend our previous work by considering the coset space dimensional reduction of higher-dimensional Einstein-Yang-Mills theories including scalar fluctuations as well as Kaluza-Klein excitations of the compactification metric and we describe the gravity-modified rules for the reduction of non-abelian gauge theories. (Abstract Copyright [2008], Wiley Periodicals, Inc.)
Oskar Klein and the fifth dimension
Ravndal, Finn
2013-01-01
After a short biographical summary of the scientific life of Oskar Klein, a more detailed and hopefully didactic presentation of his derivation of the relativistic Klein-Gordon wave equation is given. It was a result coming out of his unification of electromagnetism and gravitation based on Einstein's general theory of relativity in a five-dimensional spacetime. This idea had previously been explored by Kaluza, but Klein made it more acceptable by suggesting that the extra dimension could be compactified and therefore remain unobservable when it is small enough.
Haunted Kaluza universe with four-dimensional Lorentzian flat, Kerr, and Taub-NUT slices
Energy Technology Data Exchange (ETDEWEB)
Ivanov, Rossen I. [Department of Pure and Applied Mathematics, Trinity College, University of Dublin (Ireland) and Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Sofia 1784 (Bulgaria)]. E-mail: ivanovr@tcd.ie; Prodanov, Emil M. [School of Physical Sciences, Dublin City University, Glasnevin (Ireland)]. E-mail: prodanov@physics.dcu.ie
2005-03-03
The duality between the original Kaluza's theory and Klein's subsequent modification is duality between slicing and threading decomposition of the five-dimensional spacetime. The field equations of the original Kaluza's theory lead to the interpretation of the four-dimensional Lorentzian Kerr and Taub-NUT solutions as resulting from static electric and magnetic charges and dipoles in the presence of ghost matter and constant dilaton, which models Newton's constant.
Kaluza-Klein magnetized cylindrical wormhole and its gravitational lensing
Hashemi, S. Sedigheh; Riazi, Nematollah
2016-10-01
A new exact vacuum solution in five dimensions, which describes a magnetized cylindrical wormhole in 3+1 dimensions is presented. The magnetic field lines are stretched along the wormhole throat and are concentrated near to it. We study the motion of neutral and charged test particles under the influence of the magnetized wormhole. The effective potential for a neutral test particle around and across the magnetized wormhole has a repulsive character. The gravitational lensing for the magnetized wormhole for various lens parameters are calculated and compared. The total magnetic flux on either side of the wormhole is obtained. We present analytic expressions which show regions in which the null energy condition is violated.
Kaluza-Klein Gluons as a Diagnostic of Warped Models
Lillie, Benjamin Huntington; Tait, Tim M P
2007-01-01
We study the properties of $g^{1}$, the first excited state of the gluon in representative variants of the Randall Sundrum model with the Standard Model fields in the bulk. We find that measurements of the coupling to light quarks (from the inclusive cross-section for $pp\\to g^{1} \\to t\\bar t$), the coupling to bottom quarks (from the rate of $pp\\to g^{1} b$), as well as the overall width, can provide powerful discriminants between the models. In models with large brane kinetic terms, the $g^1$ resonance can even potentially be discovered decaying into dijets against the large QCD background. We also derive bounds based on existing Tevatron searches for resonant $t \\bar{t}$ production and find that they require $M_{g^{1}} \\gtrsim 950$ GeV. In addition we explore the pattern of interference between the $g^1$ signal and the non-resonant SM background, defining an asymmetry parameter for the invariant mass distribution. The interference probes the relative signs of the couplings of the $g^{1}$ to light quark pai...
Fischer-Hjalmars, Inga; Laurent, Bertel
2014-03-01
Oskar Klein died on the fifth of February 1977 at the age of eighty-two. One of the most prominent Swedish physicists ever and an outstanding personality in the field of culture had passed away. He was a man whose interests knew no limits and as a scientist he greatly enriched our understanding of Nature. All those who knew him were astounded by his profound thinking, wealth of ideas, extensive insight and humanism, qualities that obviously had been stimulated by the spirit in his parents' home. His father, rabbi and professor in Stockholm, was deeply engaged in theological and humanitarian issues...
Kinetic approach to Kaluza's magnetohydrodynamics
Sandoval-Villalbazo, A.; Garcia-Colin, L. S.
2011-11-01
Ten years ago we presented a formalism by means of which the basic tenets of relativistic magnetohydrodynamics were derived using Kaluza's ideas about unifying fields in terms of the corresponding space time curvature for a given metric. In this work we present an attempt to obtain the thermodynamic properties of a charged fluid using using Boltzmann's equation for a dilute system adapted to kaluza's formalism. The main results that we obtain are analytical expressions for the main currents and corresponding forces, within the formalism of linear irreversible thermodynamics. We also indicate how transport coefficients can be calculated. Other relevant results are also mentioned. A. Sandoval-Villalbazo and L.S. Garcia-Colin; Phys. of Plasmas 7, 4823 (2000).
Institute of Scientific and Technical Information of China (English)
韩毅昂; 郭宗宽
2001-01-01
在五维黎曼流形基础上,将K1ein-Gordon标量场方程由最小耦合情况推广到共形耦合情况,并深入讨论了质量相对变化率,结果表明:在静态球对称解和Friedman宇宙学解下检验粒子的四维有效质量是可变的.
Kaluza's theory in generalized coordinates
García-Perciante, A L; García-Colin, L S; Garcia-Perciante, Ana Laura; Sandoval-Villalbazo, Alfredo
2001-01-01
Maxwell's equations can be obtained in generalized coordinates by considering the electromagnetic field as an external agent. The work here presented shows how to obtain the electrodynamics for a charged particle in generalized coordinates eliminating the concept of external force. Based on Kaluza's formalism, the one here presented extends the 5x5 metric into a 6x6 space-time giving enough room to include magnetic monopoles in a very natural way.
The world in eleven dimensions a tribute to Oskar Klein
Duff, Michael J
2001-01-01
Current attempts to find a unified theory that would reconcile Einstein's General Relativity and Quantum Mechanics, and explain all known physical phenomena, invoke the Kaluza-Klein idea of extra spacetime dimensions. The best candidate is M-theory, which lives in eleven dimensions, the maximum allowed by supersymmetry of the elementary particles. We give a non-technical account. An Appendix provides an updated version of Edwin A. Abbott's 1884 satire {\\it Flatland: A Romance of Many Dimensions}. Entitled {\\it Flatland, Modulo 8}, it describes the adventures of a superstring theorist, A. Square, who inhabits a ten-dimensional world and is initially reluctant to accept the existence of an eleventh dimension.
Directory of Open Access Journals (Sweden)
Abdul Wahid Khan, Zia Ud Din, Abdul Salam
2002-07-01
Full Text Available A case of Kleine Levin Syndrome is presented. Episodic course with spontaneous remission of eachepisode and characteristic features of hypersomnia, hyperphagia, disinhibited behavior. affective featureslike ilTitability and cognitive disturbance made the diagnosis of Kleine Levin syndrome 111 ourpatient.
On four-derivative terms in IIB Calabi-Yau orientifold reductions
Weissenbacher, Matthias
2016-01-01
We perform a Kaluza-Klein reduction of IIB supergravity including purely gravitational $\\alpha '^3$-corrections on a Calabi-Yau threefold, and perform the orientifold projection accounting for the presence of $O3/O7$-planes. We consider infinitesimal K\\"{a}hler deformations of the Calabi-Yau background and derive the complete set of four-derivative couplings quadratic in these fluctuations coupled to gravity. In particular, we find four-derivative couplings of the K\\"{a}hler moduli fields in the four-dimensional effective supergravity theory, which are referred to as friction couplings in the context of inflation.
CSIR Research Space (South Africa)
De Decker, HP
1989-10-01
Full Text Available This report provides historical overview on river catchment, ecology, biotic and abiotic characteristics and available information on the Klein estuary. Kleinriviersvlei is popularly known as "Hermanus Lagoon". In some of the accounts...
Tabak de Bianchedi, Elizabeth; Etchegoyen, R Horacio; Ungar de Moreno, Virginia; Nemas de Urman, Clara; Zysman, Samuel
2003-12-01
Erna was one of the child patients treated by Melanie Klein in Berlin, employing her recently discovered play technique. Since Erna died in Chile, the authors considered the IPA Congress in Santiago an opportunity to present a paper as a homage both to Erna and, especially, to Klein. She learned much from that very disturbed child, which she later used to sustain the ongoing development of her theories. The paper explores biographic data relevant to understanding both the case and the theories. It analyses the case material to follow Klein in the discovery and the handling of the child's transference and the harsh expressions of hate, jealousy and envy, which are brought in, with sad consequences, by strong persecutory feelings. Klein's comparison of this case with that of Freud's Wolf-man is also considered, mostly to show that the similarities were less than originally claimed, and that Klein, perhaps, was introducing a theoretic shift which led her technique to gradually change from 'Nachträglichkeit' to the 'signification-resignification' pair, akin to Strachey's concept of the mutative interpretation. Lastly, the comprehension of Erna's strong psychotic traits and the links with later developments of the theory on psychosis are studied.
Exceptional generalised geometry for massive IIA and consistent reductions
Cassani, Davide; Petrini, Michela; Strickland-Constable, Charles; Waldram, Daniel
2016-01-01
We develop an exceptional generalised geometry formalism for massive type IIA supergravity. In particular, we construct a deformation of the generalised Lie derivative, which generates the type IIA gauge transformations as modified by the Romans mass. We apply this new framework to consistent Kaluza-Klein reductions preserving maximal supersymmetry. We find a generalised parallelisation of the exceptional tangent bundle on S^6, and from this reproduce the consistent truncation ansatz and embedding tensor leading to dyonically gauged ISO(7) supergravity in four dimensions. We also discuss closely related hyperboloid reductions, yielding a dyonic ISO(p,7-p) gauging. Finally, while for vanishing Romans mass we find a generalised parallelisation on S^d, d=4,3,2, leading to a maximally supersymmetric reduction with gauge group SO(d+1) (or larger), we provide evidence that an analogous reduction does not exist in the massive theory.
Exceptional generalised geometry for massive IIA and consistent reductions
Cassani, Davide; de Felice, Oscar; Petrini, Michela; Strickland-Constable, Charles; Waldram, Daniel
2016-08-01
We develop an exceptional generalised geometry formalism for massive type IIA supergravity. In particular, we construct a deformation of the generalised Lie derivative, which generates the type IIA gauge transformations as modified by the Romans mass. We apply this new framework to consistent Kaluza-Klein reductions preserving maximal supersymmetry. We find a generalised parallelisation of the exceptional tangent bundle on S 6, and from this reproduce the consistent truncation ansatz and embedding tensor leading to dyonically gauged ISO(7) supergravity in four dimensions. We also discuss closely related hyperboloid reductions, yielding a dyonic ISO( p, 7 - p) gauging. Finally, while for vanishing Romans mass we find a generalised parallelisation on S d , d = 4 , 3 , 2, leading to a maximally supersymmetric reduction with gauge group SO( d + 1) (or larger), we provide evidence that an analogous reduction does not exist in the massive theory.
Winnicott's response to Klein.
Ehrlich, Robert
2004-04-01
The author suggests that, although Donald Winnicott presented some important criticisms of Melanie Klein's work, at times he tried to advance his perspectives too definitively without adequately considering her own. Because of this, he failed to acknowledge sufficiently that he was offering a model of human nature and development that could be revised. The fact that his differences with Klein arose in the context of a complex relationship in which each played numerous roles for the other, especially in the context of their affiliation with the British Psychoanalytical Society, periodically made it difficult for him to present his ideas more carefully and in his more characteristically open manner.
Kaluza–Klein theory for teleparallel gravity
Energy Technology Data Exchange (ETDEWEB)
Geng, Chao-Qiang, E-mail: geng@phys.nthu.edu.tw [Chongqing University of Posts and Telecommunications, Chongqing, 400065 (China); Department of Physics, National Tsing Hua University, Hsinchu 300, Taiwan (China); Physics Division, National Center for Theoretical Sciences, Hsinchu 300, Taiwan (China); Lai, Chang, E-mail: laichang@cqupt.edu.cn [Chongqing University of Posts and Telecommunications, Chongqing, 400065 (China); Luo, Ling-Wei, E-mail: d9622508@oz.nthu.edu.tw [Department of Physics, National Tsing Hua University, Hsinchu 300, Taiwan (China); Tseng, Huan-Hsin, E-mail: d943335@oz.nthu.edu.tw [Department of Physics, National Tsing Hua University, Hsinchu 300, Taiwan (China)
2014-10-07
We study teleparallel gravity in the original Kaluza–Klein (KK) scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar {sup (5)}T generates the non-Brans–Dicke type effective Lagrangian in 4-dimension due to an additional coupling between the derivative of the scalar field and torsion, but the result is equivalent to that in general relativity. We also discuss the cosmological behavior in the FLRW universe based on the effective teleparallel gravity.
Kaluza-Klein gluons at 100 TeV: NLO corrections
Lillard, Benjamin; Tanedo, Philip
2016-01-01
We explore the reach of a 100 TeV proton collider to discover KK gluons in a warped extra dimension. These particles are templates for color adjoint vectors that couple dominantly to the top quark. We examine their production rate at NLO in the six-flavor m-ACOT scheme for a variety of reference models defining their coupling to quarks, largely inspired by the RS model of a warped extra dimension. In agreement with previous calculations aimed at lower energy machines, we find that the NLO corrections are typically negative, resulting in a $K$-factor of around 0.7 (depending on the model) and with a residual scale dependence on the order of $\\pm 20\\%$, greater than the variation from the scale exhibited by the na\\"{i}ve LO estimate.
Standard cosmological evolution in the f(R) model to Kaluza-Klein cosmology
Energy Technology Data Exchange (ETDEWEB)
Aghmohammadi, A; Abolhassani, M R [Plasma Physics Research Center, Science and Research Branch, Islamic Azad University of Tehran (Iran, Islamic Republic of); Saaidi, Kh; Vajdi, A [Department of Physics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Sanandaj (Iran, Islamic Republic of)], E-mail: agha35484@yahoo.com, E-mail: ksaaidi@uok.ac.ir, E-mail: mrhasani@modares.ac.ir, E-mail: Avajdi@uok.ac.ir
2009-12-15
In this paper, using f(R) theory of gravity we explicitly calculate cosmological evolution in the presence of a perfect fluid source in four- and five-dimensional space-time in which this cosmological evolution in self-creation is presented by Reddy et al (2009 Int. J. Theor. Phys. 48 10). An exact cosmological model is presented using a relation between Einstein's gravity field equation components due to a metric with the same component from f(R) theory of gravity. Some physics and kinematical properties of the model are also discussed.
Tunnelling of scalar and Dirac particles from squashed charged rotating Kaluza-Klein black holes
Energy Technology Data Exchange (ETDEWEB)
Stetsko, M.M. [Ivan Franko National University of Lviv, Department of Theoretical Physics, Lviv (Ukraine)
2016-02-15
The thermal radiation of scalar particles and Dirac fermions from squashed charged rotating five-dimensional black holes is considered. To obtain the temperature of the black holes we use the tunnelling method. In the case of scalar particles we make use of the Hamilton-Jacobi equation. To consider tunnelling of fermions the Dirac equation was investigated. The examination shows that the radial parts of the action for scalar particles and fermions in the quasi-classical limit in the vicinity of horizon are almost the same and as a consequence it gives rise to identical expressions for the temperature in the two cases. (orig.)
Tunnelling of scalar and Dirac particles from squashed charged rotating Kaluza-Klein black holes
Stetsko, M. M.
2016-02-01
The thermal radiation of scalar particles and Dirac fermions from squashed charged rotating five-dimensional black holes is considered. To obtain the temperature of the black holes we use the tunnelling method. In the case of scalar particles we make use of the Hamilton-Jacobi equation. To consider tunnelling of fermions the Dirac equation was investigated. The examination shows that the radial parts of the action for scalar particles and fermions in the quasi-classical limit in the vicinity of horizon are almost the same and as a consequence it gives rise to identical expressions for the temperature in the two cases.
Open and Closed World Models in Kaluza-Klein-Theory with Variables G and Λ
Nashed, Gamal G. L.
2014-11-01
The field equation of higher dimensions theory, have been applied in the area of cosmology. The resulting differential equations are solved for open and closed. We derive a relation between the Einstein constant G( t) and the cosmological constant Λ( t) from the conservation law T μ ν ; ν =0. We give a specific form of Λ( t) to solve the non-linear differential equations. Some cosmological parameters are calculated and some relevant cosmological problems are discussed.
Representation and Dimensional Reduction of the Universe
Institute of Scientific and Technical Information of China (English)
吴忠超
2004-01-01
The external space we live in or the apparent dimension in the Kaluza-Klein model can be identified by using the right representation in quantum cosmology. The external dimension of the Freund-Rubin model is min(s, n - s),where s is the rank of the antisymmetric field strength in the model.
Hyperbolic heat equation in Kaluza's magnetohydrodynamics
Sandoval-Villalbazo, A; García-Perciante, A L
2006-01-01
This paper shows that a hyperbolic equation for heat conduction can be obtained directly using the tenets of linear irreversible thermodynamics in the context of the five dimensional space-time metric originally proposed by T. Kaluza back in 1922. The associated speed of propagation is slightly lower than the speed of light by a factor inversely proportional to the specific charge of the fluid element. Moreover, consistency with the second law of thermodynamics is achieved. Possible implications in the context of physics of clusters of galaxies of this result are briefly discussed.
Statistical Entropy of the Kaluza－Klein Black Hole from the Horizon Conformal Field Theory
Institute of Scientific and Technical Information of China (English)
JING Ji-Liang; YAN Mu-Lin
2001-01-01
The statistical entropy of the Kaluza-Klein black hole is studied by counting the black hole states which form an algebra of diffeomorphism at Killing horizon with a central charge. It is shown that the entropy yielded by the standard Cardy formula agrees with the Bekenstein-Hawking entropy only if we take period T of function u as the periodicity of the Euclidean black hole. On the other hand, the first-order quantum correction to the entropy is proportional to the logarithm of the Bekenstein-Hawking entropy with a factor -1/2.
Honour and departure Wim Klein
Van Hove,L
1976-01-01
L.Van Hove rend hommage à Wim Klein qui a été découvert par le Prof.Bakker vers 1958 en Hollande où Wim Klein était artiste en divertissant le public par ses extraordinaires dons mathématiques.
Hormuth, Dennis
2011-01-01
Arvustus: Jan Kusberg, Kleine Geschichte St. Petersburgs. (Regensburg, 2009) ; Ingrid Bohn. Kleine Geschichte Stockholms. (Regensburg, 2008) ; Konrad Dittrich. Kleine Lübecker Stadtgeschichte. (Regensburg, 2007)
Hormuth, Dennis
2011-01-01
Arvustus: Jan Kusberg, Kleine Geschichte St. Petersburgs. (Regensburg, 2009) ; Ingrid Bohn. Kleine Geschichte Stockholms. (Regensburg, 2008) ; Konrad Dittrich. Kleine Lübecker Stadtgeschichte. (Regensburg, 2007)
Kaluza–Klein theory for teleparallel gravity
Directory of Open Access Journals (Sweden)
Chao-Qiang Geng
2014-10-01
Full Text Available We study teleparallel gravity in the original Kaluza–Klein (KK scenario. Our calculation of the KK reduction of teleparallel gravity indicates that the 5-dimensional torsion scalar T(5 generates the non-Brans–Dicke type effective Lagrangian in 4-dimension due to an additional coupling between the derivative of the scalar field and torsion, but the result is equivalent to that in general relativity. We also discuss the cosmological behavior in the FLRW universe based on the effective teleparallel gravity.
Once Again About the Klein Paradox
Kevlishvili, N; Nadareishvili, T P
2003-01-01
After a short survey of the Klein Paradox in 3-dimensional relativistic equations, there is a detailed consideration of Dirac modified equation, which follows by one particle overweighting. It is shown, that the spin-orbital coupling is excluded in this equation as a result of pseudospin symmetry. That is why the separation of variables and reduction to radial equation is possible with standard methods in momentum space. The kernel of obtained radial equation differs from the kernel of spinless Salpeter equation in bounded, regular factor. That is why the equation has confinement type solutions.
Directory of Open Access Journals (Sweden)
Christian Schreger
2013-06-01
Full Text Available Jeder Lehrer, jede Lehrerin klammert schließlich irgendwann Erzeugnisse der Schüler oder Schülerinnen zu einem Heft zusammen – und was mehrere Seiten hat, wird gerne „Buch“ genannt, ein Kopiergerät steht in jedem Büro und Computerdrucker gäbe es in jeder Klasse. Tatsächlich ist in den meisten Fällen eher die Herrschaft über das Heftgerät bestimmend, der die Kontrolle über den Inhalt der zu heftenden Blätter vorausgeht. Was dann oft mit dem Beisatz „Das ist ja schon fast ein Kunstwerk!“ geziert wird, stellt meist ein unterrichtskonformes Produkt dar, dessen Individualität leider oft nur den Grad der Angepasstheit des jeweiligen Kindes spiegelt und damit seine Tauglichkeit für ein Unterrichtssystem, in dem Nachplappern und Nachexerzieren zu den wichtigsten Tugenden zählt. Derartig angepasste und eventuell mit technischem Know-How aufgehübschte Erzeugnisse waren nie das Ziel des Projekts „Kleine Bücher“.In der Freinet-Pädagogik gehören das Produzieren und Veröffentlichen von eigenen Texten zu den wichtigen Bestandteilen schulischer Aktivität. Beides ist sehr viel mehr als ein kleiner Schritt im geschützten Raum, denn dabei geht es um Mut und Entscheidung, um Ausdauer und Gewissenhaftigkeit sowie manchmal auch nur um den verblüffenden „großen Wurf“, der eine Situation oder Geschichte blitzlichtartig so treffend festhält, dass man sprachlos davor stehen bleibt, um zu staunen - wenn man denn bereit ist, sich darauf einzulassen.
Tri-Sasakian consistent reduction
Cassani, Davide
2011-01-01
We establish a universal consistent Kaluza-Klein truncation of M-theory based on seven-dimensional tri-Sasakian structure. The four-dimensional truncated theory is an N=4 gauged supergravity with three vector multiplets and a non-abelian gauge group, containing the compact factor SO(3). Consistency follows from the fact that our truncation takes exactly the same form as a left-invariant reduction on a specific coset manifold, and we show that the same holds for the various universal consistent truncations recently put forward in the literature. We describe how the global symmetry group SL(2,R) x SO(6,3) is embedded in the symmetry group E7(7) of maximally supersymmetric reductions, and make the connection with the approach of Exceptional Generalized Geometry. Vacuum AdS4 solutions spontaneously break the amount of supersymmetry from N=4 to N=3,1 or 0, and the spectrum contains massive modes. We find a subtruncation to minimal N=3 gauged supergravity as well as an N=1 subtruncation to the SO(3)-invariant secto...
Directory of Open Access Journals (Sweden)
EFSA Panel on Plant Health (PLH
2013-07-01
Full Text Available The Panel on Plant Health conducted a pest risk assessment for Eutetranychus orientalis in the European Union (EU and evaluated the effectiveness of phytosanitary measures in Council Directive 2000/29/EC. Entry through the plants for planting pathway is assessed as very likely, while entry through other pathways is estimated as moderately likely to unlikely owing to the different probability of transfer to a suitable host. Establishment is rated as very likely in Mediterranean areas and from moderately likely to unlikely in non-Mediterranean areas, because of unfavourable environmental conditions. Spread is rated as very likely because of the many ways the pest can spread, its polyphagy and the wide distribution of hosts. Impact is rated as minor, with an expected increase in the damage when populations of natural enemies are severely affected by control measures and/or when environmental conditions are stressful for the host. However, the lack of information resulted in an overall medium level of uncertainty. The Panel evaluated the effectiveness of current EU phytosanitary measures and concluded that the removal of E. orientalis from Annex IIAII would not affect its probability of entry, because the importation from Third countries of some host plants regulated for this pest(Citrus, Fortunella, Poncirus species and their hybrids is prohibited in Annex III. However, spread could be affected since there would no longer be a requirement to inspect for this pest before issuing a plant passport (Annex V. However, since the regulated Rutaceae species constitute an extremely small proportion of the potential host plants of E. orientalis, the current phytosanitary measures are mostly ineffective in preventing further introduction and spread of E. orientalis in the EU. The Panel identified surveillance at the production site and treatment of the consignment as the most effective and technically feasible risk reduction options, particularly when
The Oskar Klein Memorial Lectures
1991-01-01
The Oskar Klein Memorial Lectures, instituted in 1988 and supported by the Royal Swedish Academy of Sciences through its Nobel Committee for Physics, are given at Stockholm University in Sweden, where Oskar Klein was professor in Theoretical Physics 1930-1962.Volume 1 contains the 1988 lectures on "Symmetry and Physics" and "From the Bethe-Hulthén Hypothesis to the Yang-Baxter Equation," given by C N Yang, Nobel Prize winner (1957) and professor at the State University of New York at Stony Brook. The 1989 lectures on "Beyond the Standard Models," referring to models for cosmology and elementar
Emergent of non-gravitational fields in dimensional reduction of 4d spin foam models
Fani, Somayeh
2011-01-01
We consider a Kaluza-Klein like approach for a 4d spin foam model. We apply this approach to a 4d TOCY model based on group field theory; and using the Peter-Weyl expansion of the gravitational field we will find a mechanism for gen- eration of matter and new dimensions from pure gravity.
Kaluza theory with zero-length extra dimensions
Stoica, Ovidiu Cristinel
2016-01-01
A new approach to the Kaluza theory and its relation to the gauge theory is presented. Two degenerate metrics on the $4+d$-dimensional total manifold are used, one corresponding to the spacetime metric and giving the fiber of the gauge bundle, and the other one to the metric of the fiber and giving the horizontal bundle of the connection. When combined, the two metrics give the Kaluza metric and its generalization to the non-abelian case, justifying thus his choice. Considering the two metrics as fundamental rather than the Kaluza metric explains why Kaluza's theory should not be regarded as five-dimensional vacuum gravity. This approach suggests that the only evidence of extra dimensions is given by the existence of the gauge forces, explaining thus why other kinds of evidence are not available. In addition, because the degenerate metric corresponding to the spacetime metric vanishes along the extra dimensions, the lengths in the extra dimensions is zero, preventing us to directly probe them. Therefore this ...
Symmetry Analysis of (2+1)-Dimensional Nonlinear Klein-Gordon Equations
Institute of Scientific and Technical Information of China (English)
唐晓艳; 楼森岳
2002-01-01
We have obtained two types of two-dimensional similarity reductions for the (2 +1)-dimensional Klein-Gordon system using the standard classical Lie group approach with computer algebra. The well-known one-dimensional reductions, radial and travelling reductions are equivalent to the two special cases of our general two-dimensional reductions.
Generalized Klein-Nishina formula
Krajewska, K; Kamiński, J Z
2015-01-01
The generalized Klein-Nishina formula for Compton scattering of charged particles by a finite train of pulses is derived in the framework of quantum electrodynamics. The formula also applies to classical Thomson scattering provided that frequencies of generated radiation are smaller that the cut-off frequency. The validity of the formula for incident pulses of different durations is illustrated by numerical examples. The positions of the well-resolved Compton peaks, with the clear labeling by integer orders, opens up the possibility of the precise diagnostics of properties of relativistically intense, short laser pulses. This includes their peak intensity, the carrier-envelope phase, and their polarization properties.
Klein Topological Field Theories from Group Representations
Directory of Open Access Journals (Sweden)
Sergey A. Loktev
2011-07-01
Full Text Available We show that any complex (respectively real representation of finite group naturally generates a open-closed (respectively Klein topological field theory over complex numbers. We relate the 1-point correlator for the projective plane in this theory with the Frobenius-Schur indicator on the representation. We relate any complex simple Klein TFT to a real division ring.
Effect of Self-Interaction on Vacuum Energy for Yang-Mills System in Kaluza-Klein Theory
Shiraishi, Kiyoshi
2015-01-01
We calculate the vacuum energy for Yang--Mills (YM) system in the background space-time $M^4 \\times S^3$, taking the effect of self-interaction of the YM fields into account. The compactification scale obtained by Candelas--Weinberg mechanism becomes large if the YM coupling is large. The case with an extra space $S^3/Z_2$ is also considered, and it is shown that the vacuum associated with broken gauge symmetry is unstable.
Yazadjiev, S
2012-01-01
We present a new solution in 5D Einstein-Maxwell-dilaton gravity describing an equilibrium configuration of extremal rotating black holes with lens space horizon topologies. The basic properties of the solution are investigated and the basic physical quantities are calculated. It is shown that the black hole horizons are superconducting in the sense that they expel the magnetic flux lines.
Extended Klein edges in graphene.
He, Kuang; Robertson, Alex W; Lee, Sungwoo; Yoon, Euijoon; Lee, Gun-Do; Warner, Jamie H
2014-12-23
Graphene has three experimentally confirmed periodic edge terminations, zigzag, reconstructed 5-7, and arm-chair. Theory predicts a fourth periodic edge of graphene called the extended Klein (EK) edge, which consists of a series of single C atoms protruding from a zigzag edge. Here, we confirm the existence of EK edges in both graphene nanoribbons and on the edge of bulk graphene using atomic resolution imaging by aberration-corrected transmission electron microscopy. The formation of the EK edge stems from sputtering and reconstruction of the zigzag edge. Density functional theory reveals minimal energy for EK edge reconstruction and bond distortion both in and out of plane, supporting our TEM observations. The EK edge can now be included as the fourth member of observed periodic edge structures in graphene.
Calvin Klein Underwear新推STEEL系列
Institute of Scientific and Technical Information of China (English)
无
2007-01-01
Calvin Klein Underwear--向以时尚、性感及细致见称，深受潮流人士爱戴。今年为庆祝Calvin Klein Underwear创立25周年，品牌将于秋季推出全新STEEL系列。为隆重其事．更诚邀被两度提名奥斯卡金像奖最佳男配角的知名演员DJimon Hounsou狄哲文为Calvin Klein Underwear Steel全球广告形象代言。
Kleine-Levin syndrome: a review
Directory of Open Access Journals (Sweden)
Guilleminault C
2014-01-01
Full Text Available Mitchell G Miglis, Christian Guilleminault Stanford University Sleep Medicine Division, Stanford Outpatient Medical Center, Redwood City, CA, USA Abstract: Kleine-Levin syndrome is a recurrent hypersomnia associated with symptoms of hyperphagia, hypersexuality, and cognitive impairment. This article reviews the current available research and describes common clinical symptoms, differential diagnosis, and acceptable workup and treatment. Although deficits have traditionally been thought to resolve between episodes, functional imaging studies and long-term neuropsychological testing in select patients have recently challenged this notion. This may suggest that Kleine-Levin syndrome is not as benign as previously considered. Keywords: Kleine-Levin syndrome, hypersomnia, adolescent sleep disorder, hypersexuality
Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
Directory of Open Access Journals (Sweden)
George Zoupanos
2008-02-01
Full Text Available Finite Unified Theories (FUTs are N = 1 supersymmetric Grand Unified Theories, which can be made all-loop finite, both in the dimensionless (gauge and Yukawa couplings and dimensionful (soft supersymmetry breaking terms sectors. This remarkable property, based on the reduction of couplings at the quantum level, provides a drastic reduction in the number of free parameters, which in turn leads to an accurate prediction of the top quark mass in the dimensionless sector, and predictions for the Higgs boson mass and the supersymmetric spectrum in the dimensionful sector. Here we examine the predictions of two such FUTs. Next we consider gauge theories defined in higher dimensions, where the extra dimensions form a fuzzy space (a finite matrix manifold. We reinterpret these gauge theories as four-dimensional theories with Kaluza-Klein modes. We then perform a generalized à la Forgacs-Manton dimensional reduction. We emphasize some striking features emerging such as (i the appearance of non-Abelian gauge theories in four dimensions starting from an Abelian gauge theory in higher dimensions, (ii the fact that the spontaneous symmetry breaking of the theory takes place entirely in the extra dimensions and (iii the renormalizability of the theory both in higher as well as in four dimensions. Then reversing the above approach we present a renormalizable four dimensional SU(N gauge theory with a suitable multiplet of scalar fields, which via spontaneous symmetry breaking dynamically develops extra dimensions in the form of a fuzzy sphere SN2. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M4 × S2, the scalars being interpreted as gauge fields on S2. Depending on the parameters of the model the low-energy gauge group can be SU(n, or broken further to SU(n1 × SU(n2 × U(1. Therefore the second picture justifies the first one in a renormalizable framework but in addition has the potential to
Annihilation cross section of Kaluza Klien dark matter
Energy Technology Data Exchange (ETDEWEB)
Sharma, Rakesh, E-mail: rakesh-sharma-ujn@yahoo.co.in [Northern India Textile Research Association Technical Campus Ghaziabad U.P. 201002 (India); Upadhyaya, G. K., E-mail: gopalujjain@yahoo.co.in; Sharma, S. [School of Studies in Physics, Vikram University Ujjain, M.P. 456010 India (India)
2015-07-31
The question as to how this universe came into being and as to how it has evolved to its present stage, is an old question. The answer to this question unfolds many secrets regarding fundamental particles and forces between them. Theodor Kaluza proposed the concept that the universe is composed of more than four space-time dimensions. In his work, electromagnetism is united with gravity. Various extra dimension formulations have been proposed to solve a variety of problems. Recently, the idea of more than four space time dimensions is applied to the search for particle identity of dark matter (DM). Signature of dark matter can be revealed by analysis of very high energy electrons which are coming from outer space. We investigate recent advancement in the field of dark matter search with reference to very high energy electrons from outer space [1-8].
Hyperellipticity and Systoles of Klein Surfaces
Katz, Mikhail G
2012-01-01
Given a hyperelliptic Klein surface, we construct companion Klein bottles, extending our technique of companion tori already exploited by the authors in the genus 2 case. Bavard's short loops on such companion surfaces are studied in relation to the original surface so to improve a systolic inequality of Gromov's. A basic idea is to use length bounds for loops on a companion Klein bottle, and then analyze how curves transplant to the original nonorientable surface. We exploit the real structure on the orientable double cover by applying the coarea inequality to the distance function from the real locus. Of particular interest is the case of Dyck's surface. We also exploit an optimal systolic bound for the M\\"obius band, due to Blatter.
Melanie Klein on mourning: Its relation to pastoral care.
Hart, C W
1991-09-01
This paper connects the work of Melanie Klein on mourning to the pastor's work with the grief sufferer. Klein holds that mourning is an illness of manic depressive character rooted in infantile development. Klein's description of manic defenses in the face of loss has adult behavioral analogues with which the pastor must deal to bring mourning to resolution.
A Krein Quantization Approach to Klein Paradox
Payandeh, Farrin; Fathi, Mohsen; Moghaddam, Zahra Gh
2013-01-01
In this paper we first introduce the famous Klein paradox. Afterwards by proposing the Krein quantization approach and taking the negative modes into account, we will show that the expected and exact current densities, could be achieved without confronting any paradox.
Kleine bijenkastkever aangetroffen in Italië
Cornelissen, B.; Pelgrim, W.
2014-01-01
Voor de tweede keer in 10 jaar heeft de kleine bijenkastkever (Aethina tumida) voet aan de grond gekregen in Europa. Een eerste uitbraak in Portugal in 2004 werd snel ingedamd, maar een nieuwe uitbraak in het zuiden van Italië lijkt van permanente aard.
Kleine-Levin syndrome: a review
Guilleminault C; Miglis MG
2014-01-01
Mitchell G Miglis, Christian Guilleminault Stanford University Sleep Medicine Division, Stanford Outpatient Medical Center, Redwood City, CA, USA Abstract: Kleine-Levin syndrome is a recurrent hypersomnia associated with symptoms of hyperphagia, hypersexuality, and cognitive impairment. This article reviews the current available research and describes common clinical symptoms, differential diagnosis, and acceptable workup and treatment. Although deficits have traditionally been thought to re...
Toward a standard model 2, via Kaluza ansatz 2
Batakis, Nikolaos A
2012-01-01
New results and perspectives precipitate from the (modified as) Kaluza ansatz 2 (KA2), whereby, instead of appending $n$ Planck-scale (${\\rm L_o}$) compact SL dimensions to ordinary 4D spacetime, one augments $n$ such dimensions by 3 large ones. By KA2, the fundamental role of gravity in the dynamics of vacuum geometry is being conceded to the remaining fundamental interactions. The ground state in KA2 is of the form $\\bar{\\cal M}^{n+4}=\\bar{\\cal C}^{n+1}\\times\\IR^3$, where the static (averaged-out over scales ${\\rm L}>>{\\rm L_o}$) $\\bar{\\cal C}^{n+1}$ carries {\\em effective torsion} as relic of the deeper vacuum dynamics at Planck scale. For the simplest non-trivial implementation of KA2, the Bianchi IX subclass of SU(2)-invariant ${\\cal B}^4_{\\rm IX}$ provides the $\\bar{\\cal C}^5=\\bar{\\cal B}^4_{\\rm M}\\times S^1$, with the $S^1$ coming from 'augmentability', a complement to compactification. The classical action involves (i) the gravitational and EW sectors in elegant {\\em hierarchy}, (ii) the {\\em higgsles...
Institute of Scientific and Technical Information of China (English)
B. ESTRADA; R. A. HIDALGO; E.MARTINEZ
2007-01-01
We consider proper Klein surfaces X of algebraic genus p≥2, having an automorphismφ of prime order n with quotient space X/〈φ〉 of algebraic genus q. These Klein surfaces axe calledq-n-gonal surfaces and they axe n-sheeted covers of surfaces of algebraic genus q. In this paper weextend the results of the already studied cases n ≤3 to this more general situation. Given p≥2, weobtain, for each prime n, the (admissible) values q for which there exists a q-n-gonal surface of algebraicgenus p. Furthermore, for each p and for each admissible q, it is possible to check all topological typesof q-n-gonal surfaces with algebraic genus p. Several examples are given: q-pentagonal surfaces andq-n-gonal bordered surfaces with topological genus g = 0,1.
Klein, Ferenczi and the clinical diary.
Hernandez-Halton, Isabel
2015-03-01
The aim of this article is to revisit Ferenczi's Clinical Diary (1932) to investigate the influence he had on Melanie Klein's work. It starts from the position that insufficient recognition has been given to Ferenczi's contribution to Klein's body of work and her professional development. Her analysis with Ferenczi lasted 5 years, a relatively long analysis for the period. It explores his influence in three specific areas: the importance of raw and early emotion in the maternal bond, the importance of freedom and authenticity in the analytic relationship, and finally the use of transference and countertransference feelings. Ferenczi's ill-fated experiment with mutual analysis will be discussed as it opened up a route to explore the analytic relationship, with important consequences for the future development of psychoanalysis.
Quarkonium spectroscopy by Klein-Gordon equation
Haghighat, M; Dadkhah, A
2000-01-01
A model is proposed to obtain the q q spectra by using a generalized Klein-Gordon equation for a two-body system. A variety of different potentials are coupled to the mass term of the generalized equation. The eigenvalues and the corresponding mass spectra are evaluated by using numerical and analytical methods. The resulting spectra match dosely with experimental data. The obtained values are also compared with those of models such as quasipotential equation (Q PE).
Klein-Gordon and Dirac gyroscopes
Energy Technology Data Exchange (ETDEWEB)
SadurnI, E [Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Cuernavaca, Morelos (Mexico)], E-mail: sadurni@fis.unam.mx
2009-01-09
The formulation of a rigid body in relativistic quantum mechanics is studied. Departing from an alternate approach at the relativistic classical level, the corresponding Klein-Gordon and Dirac operators for the rigid body are obtained in covariant form. The resulting wave equations are shown to be consistent, by construction, with earlier definitions of a relativistic rigid body by Aldinger et al (1983 Phys. Rev. D 28 3020). Wavefunctions and spectra for both cases are obtained explicitly, including the Dirac gyroscope with asymmetries.
Klein Paradox in the Pilot Wave Interpretation
Dodaro, John F.
2013-01-01
The de Broglie-Bohm pilot wave interpretation of quantum mechanics is shown to provide a consistent explanation for a single relativistic particle (more accurately, a single particle process since pair production is addressed). This is accomplished by incorporating the Feynman-Stueckelberg interpretation of anti-matter. The lack of conserved probability and existence of negative energy solutions is studied through this interpretation. We discuss the resolution of Klein's original paradox thro...
Primary mental expression: freud, klein, and beyond.
Robbins, Michael
2008-03-01
Freud formulated the primary process model, describing mental activity that creates the illusion of an actual experience in lieu of reflective thought, at the very start of his career. In this, his initial formulation of unconscious mental activity, he was attempting to account for the nature of dreaming, by inference for the mind of infancy and, more speculatively, for adult psychosis. He never revised the model in light of his later formulations of the structural model and the death instinct, nor did he elaborate on his speculation that it could serve as a model for psychosis, and there has been little subsequent effort to employ the model outside the context of dreaming. A small number of analysts, including Klein, Bion, and Matte-Blanco, have constructed theories of psychosis in idiosyncratic conceptual languages that seem to be describing phenomena similar to those from which Freud constructed his model. Although Klein's model of positions, which has become the most widely accepted theory of psychosis, is generally considered a fundamental departure from Freud, both accounts have remarkable similarity and both tend to confuse primary mental expression with mature thought and normal infancy with psychosis. Contributions by cognitive-developmental psychologists including Werner and Piaget suggest ways to clarify some of the confusion and to supplement and amplify Freud's and Klein's description of some of the salient features of primary mental expression. Findings from neuroimaging studies of dreaming and of schizophrenia support the proposition that primary mental activity is a qualitatively distinctive form of mental expression.
Adrian Stokes and the portrait of Melanie Klein.
Sayers, Janet
2015-08-01
This paper focuses on the offer by the art writer Adrian Stokes to commission and pay for a portrait of the psychoanalyst Melanie Klein by the artist William Coldstream. It details some of the precursors of this offer in Stokes's preceding involvement first with Klein and then with Coldstream; her response to this offer; and its outcome and aftermath in Stokes's subsequent writing about Klein and Coldstream. Copyright © 2015 Institute of Psychoanalysis.
Time-Periodic Einstein--Klein--Gordon Bifurcations of Kerr
Chodosh, Otis
2015-01-01
We construct one-parameter families of solutions to the Einstein--Klein--Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each an asymptotically flat, stationary, axisymmetric, black hole spacetime, and such that the corresponding scalar fields are non-zero and time-periodic. An immediate corollary is that for these Klein--Gordon masses, the Kerr family is not asymptotically stable as a solution to the Einstein--Klein--Gordon equations.
Klein geometries, parabolic geometries and differential equations of finite type
Abadoglu, Ender
2009-01-01
We define the infinitesimal and geometric orders of an effective Klein geometry G/H. Using these concepts, we prove i) For any integer m>1, there exists an effective Klein geometry G/H of infinitesimal order m such that G/H is a projective variety (Corollary 9). ii) An effective Klein geometry G/H of geometric order M defines a differential equation of order M+1 on G/H whose global solution space is G (Proposition 18).
Space-Time--Time Five-dimensional Kaluza--Weyl Space
Ellis, H G
2001-01-01
Space-time--time couples Kaluza's five-dimensional geometry with Weyl's conformal space-time geometry to produce an extension that goes beyond what either of those theories can achieve by itself. Kaluza's ``cylinder condition'' is replaced by an ``exponential expansion constraint'' that causes translations along the secondary time dimension to induce both the electromagnetic gauge transformations found in the Kaluza and the Weyl theories and the metrical gauge transformations unique to the Weyl theory, related as Weyl had postulated. A space-time--time geodesic describes a test particle whose rest mass, space-time momentum, and electric charge q, all defined kinematically, evolve in accord with definite dynamical laws. Its motion is governed by four apparent forces: the Einstein gravitational force, the Lorentz electromagnetic force, a force proportional to the electromagnetic potential, and a force proportional to a scalar field's gradient d(ln phi). The test particles exhibit quantum behavior: (1) they appe...
Klein-Gordon oscillators in noncommutative phase space
Institute of Scientific and Technical Information of China (English)
WANG Jian-Hua; LI Kang; Dulat Sayipjamal
2008-01-01
We study the Klein-Gordon oscillators in non-commutative (NC) phase space.We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field.By solving the Klein-Gordon equation in NC phase space,we obtain the energy levels of the Klein-Gordon oscillators,where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.
The Jacobian of a Nonorientable Klein Surface
Indian Academy of Sciences (India)
Pablo Arés-Gastesi; Indranil Biswas
2003-05-01
Using divisors, an analog of the Jacobian for a compact connected nonorientable Klein surface is constructed. The Jacobian is identified with the dual of the space of all harmonic real one-forms on quotiented by the torsion-free part of the first integral homology of . Denote by the double cover of given by orientation. The Jacobian of is identified with the space of all degree zero holomorphic line bundles over with the property that is isomorphic to $^*\\overline{L}$, where is the involution of .
Quakonium spectroscopy by Klein-Gordon equation
Directory of Open Access Journals (Sweden)
M. Haghighat B Mirza
2000-06-01
Full Text Available A model is proposed to obtain the qq spectra by using a generalized Klein-Gordon equation for a two-body system. A variety of different potentials are coupled to the mass term of the generalized equation. The eigenvalues and the corresponding mass spectra are evaluated by using numerical and analytical methods. The resulting spectra match dosely with the experimental data. The obtained values are also compared with those of models such as quasipotential equation (QPE.
Obituary: Michael John Klein, 1940-2005
Gulkis, Samuel
2006-12-01
Michael John Klein died on 14 May 2005 at home in South Pasadena, California. The cause of death was tongue cancer that metastasized to the lungs. He was a non-smoker. Mike was a passionate radio astronomer, a trusted astronomical observer, an educator and a family man. Mike was born on 19 January 1940 in Ames, Iowa, the son of Florence Marie (Graf) and Fred Michael Klein. His mother was a homemaker, and his father was a banker. Mike had two older sisters, Lois Jean (Klein) Flauher and Marilyn June (Klein) Griffin. In 1962, Mike married his high school sweetheart Barbara Dahlberg, who survives him along with their three children, Kristin Marie (Klein) Shields, Michael John Klein Jr., Timothy Joel Klein, and six grandchildren. Mike developed a love for astronomy early in his life, and credited an early morning, newspaper-delivery route that he had at age twelve, which took him outside well before sunrise. He told family members that as he walked along his route, he stared into the sky and wondered what everything was. He studied sky charts, located stars, and began to understand how the planets shifted their positions relative to the stars each day. Another big influence in Mike's life was his brother in-law, Jim Griffin. Jim helped Mike understand that his passion for science did not have to remain a hobby, but could and should become a career. Jim's encouragement led Mike to attend Iowa State University in Ames, where he earned a BS in electrical engineering in 1962. Mike then started graduate school in electrical engineering at Michigan State, but after one semester transferred to the University of Michigan, Ann Arbor, where he earned an MS (1966) and PhD (1968) in astronomy. His doctoral dissertation, under the direction of Professor Fred Haddock, was based on extensive observations of the planets and examined the physical and thermal properties of planetary atmospheres and surfaces. Mike was awarded a Resident Research Associate position at JPL by the National
Field Equations and Lagrangian for the Kaluza Metric Evaluated with Tensor Algebra Software
Directory of Open Access Journals (Sweden)
L. L. Williams
2015-01-01
Full Text Available This paper calculates the Kaluza field equations with the aid of a computer package for tensor algebra, xAct. The xAct file is provided with this paper. We find that Thiry’s field equations are correct, but only under limited circumstances. The full five-dimensional field equations under the cylinder condition are provided here, and we see that most of the other references miss at least some terms from them. We go on to establish the remarkable Kaluza Lagrangian, and verify that the field equations calculated from it match those calculated with xAct, thereby demonstrating self-consistency of these results. Many of these results can be found scattered throughout the literature, and we provide some pointers for historical purposes. But our intent is to provide a definitive exposition of the field equations of the classical, five-dimensional metric ansatz of Kaluza, along with the computer algebra data file to verify them, and then to recover the unique Lagrangian for the theory. In common terms, the Kaluza theory is an “ω=0” scalar field theory, but with unique electrodynamic couplings.
Cassullo, Gabriele
2016-03-01
Compared to the impact of the work of Melanie Klein on the history of psychoanalysis, the contributions of her daughter, Melitta Schmideberg, passed almost unnoticed. At present, Schmideberg is solely remembered for having harshly attacked her mother at the start of the Controversial Discussions of the British Psycho-Analytical Society and for having coined the fitting expression "stable instability" in order to describe borderline and asocial personality disorders. However, the author discusses how the early groundbreaking discoveries of Klein with regards to primitive anxieties were the result of the joint work and thinking of Melanie and Melitta. Moreover, he argues that the conflict between the two, along with the subsequent polarization of their views, did not facilitate the development of psychoanalysis, neither did it help the analytic community to recognize the value of Melitta's contributions to psychoanalysis.
The ego according to Klein: return to Freud and beyond.
Blass, Rachel B
2012-02-01
This paper explores fundamental dimensions of Melanie Klein's concept of the ego through a detailed study of the writings of Klein and her early colleagues (Paula Heimann, Susan Isaacs and Joan Riviere). The study examines three central issues: (a) the basic theoretical framework for Klein's conceptualization of the ego, and specifically how her conceptualization builds on Freud's structural and dual instinct models; (b) the processes involved in the development of the ego and its capacities (including the development from id to ego and from ego to superego); and (c) the view of the ego as an object of phantasy. Through this examination, the study demonstrates that Klein's conceptualization of the ego is firmly grounded both in Freud's formulations about the ego and in his theoretical and metapsychological approach to thinking about the ego. This counters the prevalent view that Klein was only focused on clinical understandings, unconcerned with theory and fuzzy in her abstract thinking. More specifically, it counters the view that Klein did not really have a concept of the ego in any well-structured sense of the term (Britton, 2003; Hinshelwood, 1994; Segal, 2001). The study considers the sources of these misconceived views. Finally, it argues that discarding such views allows us to appreciate better the richness of Klein's thinking, her theoretical affinities to Freud, and the role of theory in the development and justification of psychoanalysis.
[An unpublished contribution of Melanie Klein "On Reassurance"].
Frank, Claudia; Klein, Melanie
2005-01-01
Melanie Klein's unpublished paper on reassurance is presented in German translation. The author shows that it was a contribution to Glover's investigation on psychoanalytic technique in the 1930s. The paper is discussed against the background of the technical discussions conducted in London at that time (e. g. M. Schmideberg, J. Strachey) and of Klein's relevant publications. Although Klein consistently considered "correct" interpretation to be the most effective means of reassurance, she occasionally also accepted a non-interpreting approach. In this respect the paper presented here goes further than any other of her writings.
Melanie Klein and countertransference: a note on some archival material.
Hinshelwood, R D
2008-01-01
Five pages of notes were found in the Melanie Klein Archives at the Wellcome Library that concern her views on countertransference in 1953. Because of the paucity of references to countertransference in Klein's published writings these Notes fill in out knowledge. Her views were provoked by the work her students were doing in their experimental analyses of schizophrenic patients. Apocryphal stories suggest that Klein remained aligned with Freud's view of countertransference as simply interference. The Notes confirm that, whilst there is some truth to that, she did have a more sophisticated and nuanced view of the unconscious relations between analyst and analysand.
Liko, T
2005-01-01
The field equations for gravitation and electromagnetism with sources in four dimensions can be interpreted as arising from the vacuum Einstein equations in five dimensions. Gauge invariance of the electromagnetic potentials leads to a ``generalized'' electromagnetic field tensor. We use the action principle to derive the equations of motion for free electromagnetic fields in flat spacetime, and isolate an effective electromagnetic current with a source that is purely higher-dimensional in origin. This current provides, at least in principle, a means of detecting extra dimensions experimentally.
Kleine-Levin syndrome as a neuropsychiatric presentation: A case ...
African Journals Online (AJOL)
2014-07-02
Jul 2, 2014 ... Kleine-Levin syndrome (KLS) is considered an excep- tionally rare ... Africa (SA), and illustrates diagnostic difficulties in its presentation. ... again with an acute onset of hypersomnia ... include: upper respiratory tract infections,.
Approximate Solutions of Klein-Gordon Equation with Kratzer Potential
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H. Hassanabadi
2011-01-01
Full Text Available Approximate solutions of the D-dimensional Klein-Gordon equation are obtained for the scalar and vector general Kratzer potential for any l by using the ansatz method. The energy behavior is numerically discussed.
The conflict and process theory of Melanie Klein.
Kavaler-Adler, S
1993-09-01
This article depicts the theory of Melanie Klein in both its conflict and process dimensions. In addition, it outlines Klein's strategic place in psychoanalytic history and in psychoanalytic theory formation. Her major contributions are seen in light of their clinical imperatives, and aspects of her metapsychology that seem negligible are differentiated from these clinical imperatives. Klein's role as a dialectical fulcrum between drive and object relations theories is explicated. Within the conflict theory, drive derivatives of sex and aggression are reformulated as object-related passions of love and hate. The process dimensions of Klein's theory are outlined in terms of dialectical increments of depressive position process as it alternates with regressive paranoid-schizoid-position mental phenomenology. The mourning process as a developmental process is particularly high-lighted in terms of self-integrative progression within the working through of the depressive position.
Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation
Xiong, Chi; Guo, Yulong; Liu, Xiaopei; Huang, Kerson
2014-01-01
We investigate superfluidity, and the mechanism for creation of quantized vortices, in the relativistic regime. The general framework is a nonlinear Klein-Gordon equation in curved spacetime for a complex scalar field, whose phase dynamics gives rise to superfluidity. The mechanisms discussed are local inertial forces (Coriolis and centrifugal), and current-current interaction with an external source. The primary application is to cosmology, but we also discuss the reduction to the non-relativistic nonlinear Schr\\"{o}dinger equation, which is widely used in describing superfluidity and vorticity in liquid helium and cold-trapped atomic gases.
Melanie Klein's letters addressed to Marcelle Spira (1955-1960).
Quinodoz, Jean-Michel
2009-12-01
Between 1955 and 1960, Melanie Klein wrote some 45 hitherto unpublished letters to Marcelle Spira, the Swiss psychoanalyst living at that time in Geneva. In 2006, after Spira's death, these letters were deposited with the Raymond de Saussure Psychoanalysis Centre in Geneva. They are the only known letters that Klein addressed to her psychoanalyst colleagues. Several topics are mentioned in them: (1) the meetings between the two women in Geneva and London; (2) Spira's contribution to Boulanger's translation into French of The Psychoanalysis of Children, which Klein herself carefully revised; (3) the papers that Klein was at that time working on, including Envy and Gratitude; (4) Spira's own work; (5) the difficulties that Spira, a Kleinian psychoanalyst who trained in Buenos Aires, was encountering in her attempt to be admitted to the Swiss Psychoanalytical Society; and (6) a few items of personal and family news. In addition to the invaluable historical information that these letters provide, they offer us a very moving epistolary self-portrait of Melanie Klein, enabling us to discover her personality in the final years of her life - she died in September 1960, just two months after writing her last letter to Spira.
Klein tunneling in driven-dissipative photonic graphene
Ozawa, Tomoki; Amo, Alberto; Bloch, Jacqueline; Carusotto, Iacopo
2017-07-01
We theoretically investigate Klein tunneling processes in photonic artificial graphene. Klein tunneling is a phenomenon in which a particle with Dirac dispersion going through a potential step shows a characteristic angle- and energy-dependent transmission. We consider a generic photonic system consisting of a honeycomb-shaped array of sites with losses, illuminated by coherent monochromatic light. We show how the transmission and reflection coefficients can be obtained from the steady-state field profile of the driven-dissipative system. Despite the presence of photonic losses, we recover the main scattering features predicted by the general theory of Klein tunneling. Signatures of negative refraction and the orientation dependence of the intervalley scattering are also highlighted. Our results will stimulate the experimental study of intricate transport phenomena using driven-dissipative photonic simulators.
Klein and Conformal Superspaces, Split Algebras and Spinor Orbits
Fioresi, Rita; Marrani, Alessio
2016-01-01
We discuss $\\mathcal{N}=1$ Klein and Klein-Conformal superspaces in $D=(2,2)$ space-time dimensions, realizing them in terms of their functor of points over the split composition algebra $\\mathbb{C}_{s}$. We exploit the observation that certain split form of orthogonal groups can be realized in terms of matrix groups over split composition algebras; this leads to a natural interpretation of the the sections of the spinor bundle in the critical split dimensions $D=4$, $6$ and $10$ as $\\mathbb{C}_{s}^{2}$, $\\mathbb{H}_{s}^{2}$ and $\\mathbb{O}_{s}^{2}$, respectively. Within this approach, we also analyze the non-trivial spinor orbit stratification that is relevant in our construction since it affects the Klein-Conformal superspace structure.
A new look at the theory of Melanie Klein.
Stein, R
1990-01-01
This paper tried to show that Melanie Klein's theory can very profitably be viewed as a descriptive theory of strong emotions rather than an instinct or developmental theory. Furthermore, since in Klein's thinking feelings 'create' objects, the primacy of feelings in this theory is central. The paper contains a short chronological study of Klein's formulations of psychic phenomena in terms of affects. It is also maintained that the paranoid-schizoid and the depressive positions are constellations of affects and of reactions to them; that psychic development is essentially in terms of the capacity to tolerate feelings, and that the basic conflict in mental life is between feelings of love and hate and associated feelings. Such a view solves many of the conceptual difficulties of Kleinian theory and in addition promises rewarding insights into the world of feelings.
Considerations on the hyperbolic complex Klein-Gordon equation
Ulrych, S
2010-01-01
The article summarizes and consolidates investigations on hyperbolic complex numbers with respect to the Klein-Gordon equation for fermions and bosons. The hyperbolic complex numbers are applied in the sense that complex extensions of groups and algebras are performed not with the complex unit, but with the product of complex and hyperbolic unit. The modified complexification is the key ingredient for the theory. The Klein-Gordon equation is represented in this framework in the form of the first invariant of the Poincar\\'e group, the mass operator, in order to emphasize its geometric origin. The possibility of new interactions arising from hyperbolic complex gauge transformations is discussed.
Institute of Scientific and Technical Information of China (English)
金艳
2007-01-01
中国的消费者想必都不会对 Calvin Klein(卡尔文·克莱恩)这个品牌感到陌生。印有醒目 CK 标志的 T 恤衫和牛仔裤系列,早在上世纪90年代起便开始在年轻一族中流行。Calvin Klein 不仅是我国消费者最熟悉的美国服饰品牌之一,也是世界知名的一线时装品牌。
An Adolescent with Kleine-levin Syndrome: A Case Report
Directory of Open Access Journals (Sweden)
Pezhman Ghaem-Maghamy
2007-08-01
Full Text Available Kleine-levin syndrome is characterized as a periodic hypersomnia crisis as well as dietary and variable significant psychic symptoms. This report describes the finding on an evaluation of a 15- year- old girl with KLS. She had amnesia to her episodes. All episodes were correlated with menstrual period.Polysomnographic finding of this patient was normal with 5 sleep cycles in sleep architecture and sleep efficiency of 99%. Decreasing in stage I, increasing of stage III and IV and decreasing in REM sleep was notable. Dextroamphetamin was given to the patient in order to decrease sleepiness.Kleine-levin syndrome should be considered in patients with periodic hypersomnia.
Klein-Gordon and Dirac Equations with Thermodynamic Quantities
Arda, Altuğ; Tezcan, Cevdet; Sever, Ramazan
2016-03-01
We study the thermodynamic quantities such as the Helmholtz free energy, the mean energy and the specific heat for both the Klein-Gordon, and Dirac equations. Our analyze includes two main subsections: (1) statistical functions for the Klein-Gordon equation with a linear potential having Lorentz vector, and Lorentz scalar parts (2) thermodynamic functions for the Dirac equation with a Lorentz scalar, inverse-linear potential by assuming that the scalar potential field is strong ( A ≫ 1). We restrict ourselves to the case where only the positive part of the spectrum gives a contribution to the sum in partition function. We give the analytical results for high temperatures.
Affetto e pensiero nel modello Klein-Bion
Directory of Open Access Journals (Sweden)
Marco Innamorati
2010-01-01
Full Text Available Affect and Thought in the Klein-Bion Model - This paper investigates the development of the psychoanalytic theory of affect according to the Klein/Bion approach, with special regard to the relationship between affect and thought which has strategic importance in the complex picture in post-war Anglo-Saxon psychoanalysis. Klein’s contributions on affect are discussed and confronted with the other elements of the psychological world: representations, drives, objects and positions. The second part of the paper presents and discusses Bion’s theory of “emotional experiences”, in which a primordial identity between thought and feelings generates every form of knowledge.
Some technical implications of Klein's concept of 'premature ego development'.
Mitrani, Judith L
2007-08-01
In this paper, the author revisits the problem of 'premature ego development' first introduced by Melanie Klein in 1930. She also highlights several developments in post-Kleinian thinking since the publication of that paper, which can be seen as offshoots of or complements to Klein's work. The author proposes a link between this category of precocious development and the absence of the experience of what Bion termed the 'containing object.' She puts forward several technical considerations relevant to analytic work with patients who suffer as a result of early developmental failures and presents various clinical vignettes in order to demonstrate the ways in which these considerations take shape in the analytic setting.
Biesbosch: microverontreinigingen met macro-effecten op kleine zoogdieren?
Brink, van den N.W.; Bosveld, A.T.C.; Bie, de P.A.F.; Jong, de J.
2000-01-01
Plannen om een deel van de Biesbosch opnieuw in te richten kunnen effecten hebben voor sedimentatie-processen. Om inzicht te krijgen in de risico's van dit soort ingrepen is Alterra een onderzoek gestart naar effecten van verontreiniging op kleine zoogdieren in de Biesbosch
Estimating the recreational value of freshwater inflows into the Klein ...
African Journals Online (AJOL)
2009-12-14
Dec 14, 2009 ... It was deduced that in 2006 the marginal recreational value of freshwater inflow into the Klein Estuary was ... properties of and processes occurring in and around estuaries ..... ise that it is possible to infer people's preferences for ecosystem .... up the user population was identified using GIS data as well.
Simplicity of extremal eigenvalues of the Klein-Gordon equation
Koppen, Mario; Winklmeier, Monika
2010-01-01
We consider the spectral problem associated with the Klein-Gordon equation for unbounded electric potentials. If the spectrum of this problem is contained in two disjoint real intervals and the two inner boundary points are eigenvalues, we show that these extremal eigenvalues are simple and possess strictly positive eigenfunctions. Examples of electric potentials satisfying these assumptions are given.
[Kleine Levin Syndrome: more than just periodic hypersomnia
Pillen, S.; Vandenbussche, N.L.; Fronczek, R.; Duijn, J. van; Lammers, G.J.; Overeem, S.
2016-01-01
BACKGROUND: Kleine Levin Syndrome (KLS) is a rare disease with periodic hypersomnia as its main feature. Hyperphagia and hypersexuality are also described as classical symptoms, although quite recently it has become clear that the full triad is absent in the majority of patients. CASE DESCRIPTION: A
Classification of Lagrangian Fibrations over a Klein Bottle
Sepe, D
2009-01-01
This paper completes the classification of regular Lagrangian fibratiopns over compact surfaces. \\cite{misha} classifies regular Lagrangian fibrations over $\\mathbb{T}^2$. The main theorem in \\cite{hirsch} is used in order to classify integral affine structures on the Klein bottle $K^2$ and, hence, regular Lagrangian fibrations over this space.
Chromatic Enumeration for Singular Maps on the Klein Bottle
Institute of Scientific and Technical Information of China (English)
李赵祥; 刘彦佩
2002-01-01
A map is singular if each edge is on the same face on a surface (i.e.,it has only one face on a surface).In this paper we present the chromatic enumeration for rooted singular maps on the Klein bottle.
Breather compactons in nonlinear Klein-Gordon systems.
Dinda, P T; Remoissenet, M
1999-11-01
We demonstrate the existence of a localized breathing mode with a compact support, i.e., a stationary breather compacton, in a nonlinear Klein-Gordon system. This breather compacton results from a delicate balance between the harmonicity of the substrate potential and the total nonlinearity induced by the substrate potential and the coupling forces between adjacent lattice sites.
A Search on the Klein-Gordon Equation
Institute of Scientific and Technical Information of China (English)
B. G(o)nül
2006-01-01
@@ The s-wave Klein-Gordon equation for the bound states is separated in two parts to see clearly the relativistic contributions to the solution in the non-relativistic limit. The reliability of the model is discussed with two examples chosen specifically.
Tucker, Lauren R.
1998-01-01
Deconstructs the "kiddie porn" media frame used by the industry and mainstream media to characterize Klein's ad campaign. Extends scholarship on the construction of youth in the media, showing how the kiddie-porn frame produces and reproduces common-sense beliefs about the nature of youth. Suggests a metadiscourse encompassing the…
Aguayo, Joseph
2002-10-01
The author investigates the clinical affinity between Klein and Winnicott (1935-46) asa way to historically situate Winnicott 's later criticism of Klein's 'temperamental' inability to understand the impact of the environment on the infant's development. By setting out Klein s theories at the time when Winnicott began supervision with her in 1935, a context is established for the analysis of an unpublished 1937 manuscript by Klein ('Notes on baby'). The author argues that this direct and extensive infant observation demonstrates Klein's sensitivity to the familial environment. While Winnicott as a paediatrician showed enthusiasm for Klein s ideas, he also demonstrated a difference of opinion in emphasising the maternal environment of provision after his wartime evacuation experiences with London children. The factors leading to their mutual distancing are outlined as follows: (1) the post-Controversial Discussion atmosphere of the British Psycho-Analytical Society in 1944. The new non-aligned psychoanalytic 'middle group' allowed Winnicott to take a pick and choose attitude towards available analytic theories; (2) Winnicott us new clinical practices and theory differed from Klein 's, leading to a widening gap between 1946 and 1951. Winnicott's new theory and practice simultaneously represented his technical marginalisation of Klein s emphasis on the direct analysis of the patient s destructiveness by the time he delivered the 'Transitional objects' paper in 1951.
An intrinsic hyperboloid approach for Einstein Klein-Gordon equations
Wang, Qian
2016-01-01
In [7] Klainerman introduced the hyperboloidal method to prove the global existence results for nonlinear Klein-Gordon equations by using commuting vector fields. In this paper, we extend the hyperboloidal method from Minkowski space to Lorentzian spacetimes. This approach is developed in [14] for proving, under the maximal foliation gauge, the global nonlinear stability of Minkowski space for Einstein equations with massive scalar fields, which states that, the sufficiently small data in a compact domain, surrounded by a Schwarzschild metric, leads to a unique, globally hyperbolic, smooth and geodesically complete solution to the Einstein Klein-Gordon system. In this paper, we set up the geometric framework of the intrinsic hyperboloid approach in the curved spacetime. By performing a thorough geometric comparison between the radial normal vector field induced by the intrinsic hyperboloids and the canonical $\\p_r$, we manage to control the hyperboloids when they are close to their asymptote, which is a light...
Directory of Open Access Journals (Sweden)
Yve-Alain Bois
2010-01-01
Full Text Available Para se aproximar do trabalho de Yves Klein, o autor reproduz alguns argumentos de Theodor Adorno sobre a música de Wagner, formulados em dois momentos - em 1937-1938, sob a experiência do fascismo, e em 1963, com 30 anos de "distância". No primeiro texto, Adorno mostrava, na obra de Wagner, os aspectos que traíam a gestação do fascismo. No segundo reconhecia que, com o novo momento histórico, outras camadas vinham à baila naquela obra; ela havia mudado, e a posição de Adorno em relação a ela tornava-se "ambivalente". Partindo do paralelismo com Wagner, Bois revisita o trabalho de Klein buscando revelar, em seus ardis e encenações, para além da simples adesão aos expedientes da indústria cultural, uma espetacularização do próprio espetáculo, que acaba por esvaziá-lo.In order to approach the work of Yves Klein, the author recalls the arguments of Theodor Adorno in regard to the music of Richard Wagner, presented in two different texts - the first written in 1937-1938, under the experience of fascism, and the other in 1963, with a "distance" of 30 years. In the first text, Adorno highlighted, in the work of Wagner, the aspects that betrayed the birth of fascism. In the second one he recognized that, along with the new historical moment, other layers emerged in Wagner's work; it had changed, and Adorno's position toward it became "ambivalent". Starting with a parallelism with Wagner, Bois reexamines the work of Yves Klein, trying to reveal, in his use of staging and artifice, beyond the mere acceptance of the expedients of the culture industry, a spectacularization of spectacle itself, that ends up by deflating it.
Global solution for coupled nonlinear Klein-Gordon system
Institute of Scientific and Technical Information of China (English)
GAN Zai-hui; ZHANG Jian
2007-01-01
The global solution for a coupled nonlinear Klein-Gordon system in twodimensional space was studied.First,a sharp threshold of blowup and global existenoe for the system was obtained by constructing a type of cross-constrained variational problem and establishing so-called cross-invariant manifolds of the evolution flow.Then the result of how small the initial data for which the solution exists globally was proved by using the scaling argument.
MONOSEMPTOMATİK KLEINE-LEVIN SENDROMU: Bir Olgu Sunumu*
KARADENİZ, Derya; ERDEM, Enis; GÜRDAL, Ayça; PELİN, Zerrin; Öztürk, Levent; Kaynak, Hakan
2014-01-01
Background.- Kleine-Levin syndrome is characterized by recurring episodes of hypersomnia, mental disturbances and abnormal behaviour including hyperphagia and hypersexuality. The episodes start suddenly generally after a mild viral infection, mild head injury or sometimes after a psychological stress. They last few days to several weeks and end abruptly. Between the episodes, there is no sleep disturbance and patients are physically and mentally normal. Patients sleep as long as 18 to 20 hour...
The torus and the Klein Bottle amplitude of permutation orbifolds
Kadar, Z
2000-01-01
The torus and the Klein bottle amplitude coefficients are computed in permutation orbifolds of RCFT-s in terms of the same quantities in the original theory and the twist group. An explicit expression is presented for the number of self conjugate primaries in the orbifold as a polynomial of the total number of primaries and the number of self conjugate ones in the parent theory. The formulae in the $Z_2$ orbifold illustrate the general results.
Numerical Solution of Radial Biquaternion Klein-Gordon Equation
Directory of Open Access Journals (Sweden)
Christianto V.
2008-01-01
Full Text Available In the preceding article we argue that biquaternionic extension of Klein-Gordon equation has solution containing imaginary part, which differs appreciably from known solution of KGE. In the present article we present numerical/computer solution of radial biquaternionic KGE (radialBQKGE; which differs appreciably from conventional Yukawa potential. Further observation is of course recommended in order to refute or verify this proposition.
Reduced thalamic and pontine connectivity in Kleine-Levin syndrome
Directory of Open Access Journals (Sweden)
Maria eEngström
2014-04-01
Full Text Available The Kleine-Levin syndrome is a rare sleep disorder, characterized by exceptionally long sleep episodes. The neuropathology of the syndrome is unknown and treatment is often inadequate. The aim of the study was to improve understanding of the underlying neuropathology, related to cerebral networks, in Kleine-Levin syndrome during sleep episodes. One patient with Kleine-Levin syndrome and congenital nystagmus, was investigated by resting state functional Magnetic Resonance Imaging during both asymptomatic and hypersomnic periods. Fourteen healthy subjects were also investigated as control samples. Functional connectivity was assessed from seed regions of interest in the thalamus and the dorsal pons. Thalamic connectivity was normal in the asymptomatic patient whereas the connectivity between the brain stem, including dorsal pons, and the thalamus was diminished during hypersomnia. These results suggest that the patient’s nystagmus and hypersomnia might have their pathological origin in adjacent dorsal pontine regions. This finding provides additional knowledge of the cerebral networks involved in the neuropathology of this disabling disorder. Furthermore, these findings regarding a rare syndrome have broad implications and results could be of interest to researchers and clinicians in the whole field of sleep medicine.
From the Coxeter graph to the Klein graph
Dejter, Italo J
2010-01-01
We show that the 56-vertex Klein cubic graph $\\G'=F_{056}B$ (so denoted in the Foster census) can be obtained from the 28-vertex Coxeter graph $\\G=F_{028}A$ by 'zipping' adequately the squares of the 24 7-cycles of $\\G$ endowed with an orientation obtained by considering $\\G$ as a $\\mathcal C$-ultrahomogeneous digraph, where $\\mathcal C$ is the set of oriented 7-cycles $\\vec{C}_7$ and $2$-paths $\\vec{P}_3$, that tightly fasten those $\\vec{C}_7$ in $\\G$. In the process, it is seen that $\\G'$ is a ${\\mathcal C}'$-ultrahomogeneous graph, where ${\\mathcal C}'$ is the set of 7-cycles $C_7$ and $1$-paths $P_2$, that tightly fasten those $C_7$ in $\\G'$; this yields an embedding of $\\G'$ into a 3-torus $T_3$, which forms the Klein map of Coxeter notation $(7,3)_8$. The dual graph of $\\G'$ in $T_3$ is the distance regular Klein quartic graph, with corresponding dual map of Coxeter notation $(3,7)_8$.
On the Klein-Gordon oscillator subject to a Coulomb-type potential
Bakke, K.; Furtado, C.
2015-04-01
By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the Klein-Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein-Gordon oscillator on the quantum numbers of the system is shown.
Institute of Scientific and Technical Information of China (English)
2009-01-01
<正>艺术家Jonathan Horowitz和Art Production Fund合作的回顾展"Jonathan Horowitz:And/Or."被纽约时报称为"一次精明而脆弱的回顾",包括由Yvonne Force Villareal和Doreen Remen共同创立的非盈利组织Art Production Fund的作品"枕边话事件"(Pillow Talk Cases)。由Calvin Klein Home捐赠的一系列白色
The second-order Klein-Gordon field equation
Gomes, D.; E. Capelas De Oliveira
2004-01-01
We introduce and discuss the generalized Klein-Gordon second-order partial differential equation in the Robertson-Walker space-time, using the Casimir second-order invariant operator written in hyperspherical coordinates. The de Sitter and anti-de Sitter space-times are recovered by means of a convenient choice of the parameter associated to the space-time curvature. As an application, we discuss a few properties of the solutions. We also discuss the case where we have positive frequency expo...
A new method to solve the damped nonlinear Klein-Gordon equation
Institute of Scientific and Technical Information of China (English)
2008-01-01
This paper discusses a damped nonlinear Klein-Gordon equation in the reproducing kernel space and provides a new method for solving the damped nonlinear Klein-Gordon equation based on the reproducing kernel space.Two numerical examples are given for illustrating the feasibility and accuracy of the method.
Antiparticle in the Light of Einstein-Podolsky-Rosen Paradox and Klein Paradox
Institute of Scientific and Technical Information of China (English)
NI Guang-Jiong; GUAN Hong; ZHOU Wei-Min; YAN Jun
2000-01-01
The original version of Einstein-Podolsky-Rosen paradox and the Klein paradox of Klein-Gordon equation are discussed to show the necessity of existence of antiparticle with its wave function being fixed unambiguously. No concept of "hole" is needed.
Numerical computation of travelling breathers in Klein Gordon chains
Sire, Yannick; James, Guillaume
2005-05-01
We numerically study the existence of travelling breathers in Klein-Gordon chains, which consist of one-dimensional networks of nonlinear oscillators in an anharmonic on-site potential, linearly coupled to their nearest neighbors. Travelling breathers are spatially localized solutions having the property of being exactly translated by p sites along the chain after a fixed propagation time T (these solutions generalize the concept of solitary waves for which p=1). In the case of even on-site potentials, the existence of small amplitude travelling breathers superposed on a small oscillatory tail has been proved recently [G. James, Y. Sire, Travelling breathers with exponentially small tails in a chain of nonlinear oscillators, Commun. Math. Phys., 2005, in press (available online at http://www.springerlink.com)], the tail being exponentially small with respect to the central oscillation size. In this paper, we compute these solutions numerically and continue them into the large amplitude regime for different types of even potentials. We find that Klein-Gordon chains can support highly localized travelling breather solutions superposed on an oscillatory tail. We provide examples where the tail can be made very small and is difficult to detect at the scale of central oscillations. In addition, we numerically observe the existence of these solutions in the case of non-even potentials.
Some developments from the work of Melanie Klein.
Spillius, E B
1983-01-01
This paper discusses four areas of work in which several followers of Melanie Klein in Britain have developed some of the discoveries and ideas she initiated. First, extension of her concept of projective identification is briefly described, with emphasis on Bion's and Rosenfeld's stress on its communicative as well as its pathological aspects. Second, the extension of Klein's ideas about the epistemophilic instinct, on symbolism, and about projective identification is described in the work of Segal, Bion, Money-Kyrle, and Bick on the development of the capacity to think. Third, certain developments in Kleinian technique are described, with emphasis on the use of the concept of projective identification in analysing transference, and on the analysis of acting out in the transference, a trend contributed to by many Kleinian analysts but perhaps most closely associated with Betty Joseph. Finally, continued refinements in the analysis of the death instinct are briefly described, together with discussion of the changes these refinements have led to in ideas about the organization and relations of parts of the self and internal objects.
Codes on the Klein quartic, ideals, and decoding
DEFF Research Database (Denmark)
Hansen, Johan P.
1987-01-01
descriptions as left ideals in the group-algebra GF(2^{3})[G]. This description allows for easy decoding. For instance, in the case of the single error correcting code of length21and dimension16with minimal distance3. decoding is obtained by multiplication with an idempotent in the group algebra.......A sequence of codes with particular symmetries and with large rates compared to their minimal distances is constructed over the field GF(2^{3}). In the sequence there is, for instance, a code of length 21 and dimension10with minimal distance9, and a code of length21and dimension16with minimal...... distance3. The codes are constructed from algebraic geometry using the dictionary between coding theory and algebraic curves over finite fields established by Goppa. The curve used in the present work is the Klein quartic. This curve has the maximal number of rational points over GF(2^{3})allowed by Serre...
Institute of Scientific and Technical Information of China (English)
吴子伊; 陈翔飞
2006-01-01
70年代建立的Calvin Klein,没有上百年的品牌历史,但是成功的广告战略和视觉营销体系,使品牌拥有与欧洲顶级品牌一样黄金的店铺位置和精美橱窗。对于海报里的裸体模特造型及挑逗表现,Calvin Klein本人认为是充满想象力和革新精神的,虽然在策划广告营销方案时,他没有预想到后来出现的众多争议,但是"把商品卖出去"的初衷与视觉营销的目的不谋而合。
Emergence of compact structures in a Klein-Gordon model.
Rosenau, Philip; Kashdan, Eugene
2010-01-22
The Klein-Gordon model (KG) phi=P{'}(|phi|)phi/|phi| is Lorenz invariant and has a finite wave speed, yet its localized modes, whether Q balls or vortices, suffer from the same fundamental flaw as all other solitons-they extend indefinitely. Using the KG model as a case study, we demonstrate that appending the site potential, P{a}(phi|), with a subquadratic part P(|phi|)=b{2}|phi|{1+delta}+P{a}(|phi|), 0
Julia Kristeva: Das weibliche Genie – Melanie Klein. Gießen: Psychosozial-Verlag 2008
Directory of Open Access Journals (Sweden)
Lilli Gast
2009-07-01
Full Text Available Julia Kristeva widmet sich im zweiten Teil ihrer Trilogie über das weibliche Genie dem Leben und Werk von Melanie Klein, die mit ihren Arbeiten über die früheste Verfasstheit des Psychischen das psychoanalytische Denken für die Psychosen und den Wahn aufschloss und die Rolle des Mütterlichen im psychoanalytischen Diskurs neu definierte. In ihrer Auseinandersetzung mit Klein gelingt Kristeva nicht nur eine ausgesprochen gelungene Einführung in Kleins Denken, sondern auch eine Analyse weiblicher Intellektualität im 20. Jahrhundert. Zudem werden die Schnittstellen im Denken Kleins und Kristevas sichtbar.Julia Kristeva devotes this second installment of her trilogy on feminine genius to the life and work of Melanie Klein. Klein’s work on the early state of the psyche opened psychoanalytical thinking to psychoses, delusion, and the redefined the role of the motherly in psychoanalytical discourse. In her discussion of Klein, Kristeva provides not only a markedly insightful introduction to Klein’s thinking, but also an analysis of female intellectuality in the 20th century. Moreover, the reader clearly sees the interconnections between Klein and Kristeva’s thinking.
The origin of the logic of symbolic mathematics Edmund Husserl and Jacob Klein
Hopkins, Burt C
2011-01-01
Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts-especially mathematical concepts and the process of mathematical abstraction that generates them-have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.
Vicious circles of punishment: a reading of Melanie Klein's Envy and gratitude.
Smith, Henry F
2008-01-01
Staged as a moral drama, Melanie Klein's Envy and Gratitude (1957) straddles two eras: one reflecting a simpler more concrete, historical method, and the other an approach of greater complexity, focused on the transferential moment. Embedded within the transference are the vicious circles of envy and punishment that are the hallmark of Klein's text. Punishment itself which is always punishment of both self and other, creates its own vicious circle, set in motion by a single act. In the sadomasochistic enactments that result, the moral force of Klein's categories fuels the countertransference. A detailed clinical hour is presented.
Relativistic quantum effects of confining potentials on the Klein-Gordon oscillator
Vitória, R. L. L.; Bakke, K.
2016-02-01
The behaviour of the Klein-Gordon oscillator under the influence of linear and Coulomb-type potentials is investigated. The introduction of the scalar potentials is made by modifying the mass term of the Klein-Gordon equation, then, by searching for relativistic bound states, a particular quantum effect can be observed: a dependence of the angular frequency of the Klein-Gordon oscillator on the quantum numbers associated with the radial modes and the angular momentum. As an example, we analyse the angular frequency and the energy level associated with the ground state of the relativistic system.
Julia Kristeva: Das weibliche Genie – Melanie Klein. Gießen: Psychosozial-Verlag 2008
Lilli Gast
2009-01-01
Julia Kristeva widmet sich im zweiten Teil ihrer Trilogie über das weibliche Genie dem Leben und Werk von Melanie Klein, die mit ihren Arbeiten über die früheste Verfasstheit des Psychischen das psychoanalytische Denken für die Psychosen und den Wahn aufschloss und die Rolle des Mütterlichen im psychoanalytischen Diskurs neu definierte. In ihrer Auseinandersetzung mit Klein gelingt Kristeva nicht nur eine ausgesprochen gelungene Einführung in Kleins Denken, sondern auch eine Analyse weibliche...
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H H Ortíz Álvarez
2012-12-01
Full Text Available In solving practical problems in science and engineering arises as a direct consequence differential equations that explains the dynamics of the phenomena.Finding exact solutions to this equations provides importan informationabout the behavior of physical systems. The Lie symmetry method allows tofind invariant solutions under certain groups of transformations for differentialequations.This method not very well known and used is of great importance inthe scientific community. By this approach it was possible to find several exactinvariant solutions for the Klein Gordon Equation uxx − utt = k(u. A particularcase, The Kolmogorov equation uxx − utt = k1u + k2un was considered.These equations appear in the study of relativistic and quantum physics. Thegeneral solutions found, could be used for future explorations on the study forother specific K(u functions. En la solución de problemas prácticos de las ciencias y la ingeniería surgen como consecuencia directa ecuaciones diferenciales que dan razón de la dinámica de los fenómenos. El encontrar soluciones exactas a estas ecuaciones proporciona información importante sobre el comportamiento de sistemas físicos. El método de las simetrías de Lie permite encontrar soluciones invariantes bajo ciertos grupos de transformaciones para ecuaciones diferenciales. Mediante este método fue posible encontrar familias de soluciones exactas invariantes para la ecuación de Klein Gordon uxx- utt = k(u: En particular, se consideró la ecuación de Kolmogorov uxx - utt = k1u + k2u n. Estas ecuaciones aparecen en el estudio de la física relativista y cuántica. Las soluciones generales encontradas podrían emplearse en futuros desarrollos en el estudio para otro tipo de funciones k(u.
Exact Solution of Klein-Gordon Equation by Asymptotic Iteration Method
Institute of Scientific and Technical Information of China (English)
Eser Ol(g)ar
2008-01-01
Using the asymptotic iteration method (AIM) we obtain the spectrum of the Klein-Gordon equation for some choices of scalar and vector potentials. In particular, it is shown that the AIM exactly reproduces the spectrum of some solvable potentials.
["Is it an animal inside? "Melanie Klein's unpublished Don Juan Paper (1939)].
Frank, Claudia
2008-01-01
Klein had been asked to contribute an article to the birthday number of the International Journal for Jones. The author outlines how she hurriedly wrote a text about Don Juan which, however, was rejected by the editor. Essential parts of it are presented in German translation. The manuscript is discussed in the context of Klein's published work as well as of the relevant contemporary literature. In Klein's view, Don Juan's genitality is determined by oral impulses and fears. By his manic acting out he attempts to ward off a depressive break-down. The paper ends with some reflections about why Klein--ontrary to her intention--failed to revise her manuscript for later publication.
Spacetimes with a separable Klein-Gordon equation in higher dimensions
Kolar, Ivan
2015-01-01
We study spacetimes that lead to a separable Klein-Gordon equation in a general dimension. We introduce an ansatz for the metric in higher dimensions motivated by analogical work by Carter in four dimensions and find solutions of the Klein-Gordon equation. For such a metric we solve the Einstein equations and regain the Kerr-NUT-(A)dS spacetime as one of our results. Other solutions lead to the Einstein-K\\"ahler metric of a Euclidean signature. Next we investigate a warped geometry of two Klein-Gordon separable spaces with a properly chosen warped factor. We show that the resulting metric leads also to a separable Klein--Gordon equation and we find the corresponding solutions. Finally, we solve the Einstein equations for the warped geometry and obtain new solutions.
Etienne Klein Les sciences à la conquête du temps
Franco, Fabien
2006-01-01
Etienne Klein grouped some of his works to the subject of time. On the occasion of his participation to thr 16e Sciences Festival in Chamonix, he gives a part of its thoughts about this matter (3 pages)
Exact solution of the Klein Gordon equation in the presence of a minimal length
Jana, T K
2009-01-01
We obtain exact solutions of the (1+1) dimensional Klein Gordon equation with linear vector and scalar potentials in the presence of a minimal length. Algebraic approach to the problem has also been studied.
Suppressing Lepton Flavour Violation in a Soft-Wall Extra Dimension
Atkins, Michael
2010-01-01
A soft-wall warped extra dimension allows one to relax the tight constraints imposed by electroweak data in conventional Randall-Sundrum models. We investigate a setup, where the lepton flavour structure of the Standard Model is realised by split fermion locations. Bulk fermions with general locations are not analytically tractable in a soft-wall background, so we follow a numerical approach to perform the Kaluza-Klein reduction. Lepton flavour violation is induced by the exchange of Kaluza-Klein gauge bosons. We find that rates for processes such as muon-electron conversion are significantly reduced compared to hard-wall models, allowing for a Kaluza-Klein scale as low as 2 TeV. Accommodating small neutrino masses forces one to introduce a large hierarchy of scales into the model, making pressing the question of a suitable stabilisation mechanism.
On classical solutions of the relativistic Vlasov-Klein-Gordon system
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Michael Kunzinger
2005-01-01
Full Text Available We consider a collisionless ensemble of classical particles coupled with a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, the relativistic Vlasov-Klein-Gordon system, we prove local-in-time existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the one-dimensional case.
Institute of Scientific and Technical Information of China (English)
郭柏灵; 苗长兴
1995-01-01
The final value problem for the classical coupled Klein-Gordon-Schrodinger equations is studied in . This leads to the construction of the modified wave operator Ω, for certain scattered data. When initial functions belong to (Ω) which denotes the range domain of Ω, the global existence and asymptotic behavior of solutions of Cauchy problem tor the coupled Klein-Gordon-Schrodinger equations are proved.
Ser bibliotecario, una profesión radical: una conferencia de Naomi Klein
Martin Valdunciel, M. Engracia
2012-01-01
This paper aims to spread, translated into Spanish, a lecture, given by a Canadian journalist Naomi Klein in Toronto, Canada, in 2003. Klein warns us the threat that the neoliberal policies of the World Trade Organization and the General Agreement on Trade in Services pose to the survival of public services, in particular, for libraries, public spaces, in contrast to the private areas, restricted to consumers. The aim of this work is to raise awareness of the situation and a critical debat...
Klein Paradox for the Bosonic Equation in the Presence of Minimal Length
Falek, M.; Merad, M.; Moumni, M.
2015-05-01
We present an exact solution of the one-dimensional modified Klein Gordon and Duffin Kemmer Petiau (for spins 0 and 1) equations with a step potential in the presence of minimal length in the uncertainty relation, where the expressions of the new transmission and reflection coefficients are determined for all cases. As an application, the Klein paradox in the presence of minimal length is discussed for all equations.
GLOBAL WELL-POSEDNESS FOR THE KLEIN-GORDON EQUATION BELOW THE ENERGY NORM
Institute of Scientific and Technical Information of China (English)
Miao Changxing; Zhang Bo; Fang Daoyuan
2004-01-01
We study global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon equation in Rn with n≥ 3. By means of Bourgain's method along with the endpoint Strichartz estimates of Keel and Tao, we prove the Hs-global well-posedness with s ＜ 1 of the Cauchy problem for the Klein-Gordon equation. This we do by establishing a series of nonlinear a priori estimates in the setting of Besov spaces.
Institute of Scientific and Technical Information of China (English)
陈子栋
2005-01-01
讨论了Hartmann型标量势与矢量势相等的条件下Klein-Gordon方程的束缚态解.对变量分离后的角向θ和径向r的Klein-Gordon方程应用级数解法.结果表明,径向波函数可用广义Laguerre多项式表示,角向波函数可用超几何函数表示,并给出了归一化的波函数.
Klein tunneling and supercollimation of pseudospin-1 photons
Fang, A; Louie, Steven G; Chan, C T
2016-01-01
Pseudospin plays a central role in many novel physical properties of graphene and other artificial systems which have pseudospins of 1/2. Here we show that in certain photonic crystals (PCs) exhibiting conical dispersions at k = 0, the eigenmodes near the "Dirac-like point" can be described by an effective spin-orbit Hamiltonian with a pseudospin of 1, treating wave propagations in the upper cone, the lower cone and a flat band (corresponding to zero refractive index) within a unified framework. The 3-component spinor gives rise to boundary conditions distinct from those of pseudospin-1/2, leading to new wave transport behaviors as manifested in Klein tunneling and supercollimation. For example, collimation can be realized more easily with pseudospin-1 than pseudospin-1/2. The special wave scattering properties of pseudospin-1 photons, coupled with the discovery that the effective photonic "potential" can be varied by a simple change of length scale, may offer new ways to control photon transport.
Klein-Gordon-Wheeler-DeWitt-Schroedinger Equation
Pavsic, Matej
2011-01-01
We start from the Einstein-Hilbert action for the gravitational field in the presence of a point particle source, and cast the action into the corresponding phase space form. The dynamical variables of such a system satisfy the point particle mass shell constraint, the Hamilton and the momentum constraints of the canonical gravity. In the quantized theory, those constraints become operators that annihilate a state. A state can be represented by a wave functional $\\Psi$ that simultaneously satisfies the Klein-Gordon and the Wheeler-DeWitt-Schr\\"odinger equation. The latter equation, besides the term due to gravity, also contains the Schr\\"odinger like term, namely the derivative of $\\Psi$ with respect to time, that occurs because of the presence of the point particle. The particle's time coordinate, $X^0$, serves the role of time. Next, we generalize the system to $p$-branes, and find out that for a quantized spacetime filling brane there occurs an effective cosmological constant, proportional to the expectati...
Kleine-Levin syndrome: Etiology, diagnosis, and treatment
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Ramdurg Santosh
2010-01-01
Full Text Available Kleine-Levin syndrome (KLS is a rare sleep disorder mainly affecting teenage boys in which the main features are intermittent hypersomnolence, behavioral and cognitive disturbances, hyperphagia, and in some cases hypersexuality. Each episode is of brief duration varying from a week to 1-2 months and affected people are entirely asymptomatic between episodes. No definite cause has been identified, and no effective treatments are available even though illness is having well-defined clinical features. Multiple relapses occur every few weeks or months, and the condition may last for a decade or more before spontaneous resolution. In this study, PubMed was searched and appropriate articles were reviewed to highlight etiology, clinical features, and management of KLS. On the basis of this knowledge, practical information is offered to help clinicians about how to investigate a case of KLS, and what are the possible treatment modalities available currently for the treatment during an episode and interepisodic period for prophylaxis. Comprehensive research into the etiology, pathophysiology, investigation, and treatments are required to aid the development of disease-specific targeted therapies.
Melanie Klein in Buenos Aires: beginnings and developments.
Etchegoyen, R Horacio; Zysman, Samuel
2005-06-01
In the first decades of the 20th century, Freud was known and quoted in Latin America by an elite of enlightened minds. In the 1940s a convergence took place in Buenos Aires of European exiles with local pioneers, and thus the Argentine Psychoanalytical Association was founded in 1942. Since then psychoanalysis has grown steadily and has spread into hospitals and universities, influencing culture at large. The socioeconomic situation of that time permitted this phenomenon to develop, to the astonishment of observers. In this paper the authors study the strong influence of Kleinian thought during the first 30 years of this development. The original works of local thinkers constitute the intellectual capital that sustains the idea of an 'Argentine psychoanalytic school'. During the 1970s, both society and psychoanalysis endured deep and complex changes. Lacan's teachings gained support and Klein's influence began to decline. At present the Buenos Aires Kleinians keep working, while their relationship with Lacanians and other schools is calmer. Respectful discussions became thus possible, oriented to strictly scientific differences.
FRT Quantization Theory for the Nonsemisimple Cayley-Klein Groups
Gromov, N A; Kuratov, V V
1997-01-01
The quantization theory of the simple Lie groups and algebras was developed by Faddeev-Reshetikhin-Takhtadjan (FRT). In group theory there is a remarkable set of groups, namely the motion groups of n-dimensional spaces of constant curvature or the orthogonal Cayley-Klein (CK) groups. In some sense the CK groups are in the nearest neighborhood with the simple ones. The well known groups of physical interest such as Euclidean E(n), Poincare P(n), Galileian G(n) and other nonsemisimple groups are in the set of CK groups. But many standart algebraical costructions are not suitable for the nonsemisimple groups and algebras, in particular Killing form is degenerate, Cartan matrix do not exist. Nevertheless it is possible to describe and to quantize all CK groups and algebras, as it was made for the simple ones. The principal proposal is to consider CK groups as the groups over an associative algebra $D$ with nilpotent commutative generators and the corresponding quantum CK groups as the algebra of noncommutative fu...
Rezension zu: Julia Kristeva: Das weibliche Genie – Melanie Klein. Gießen: Psychosozial-Verlag 2008
Directory of Open Access Journals (Sweden)
Lilli Gast
2009-07-01
Full Text Available Julia Kristeva widmet sich im zweiten Teil ihrer Trilogie über das weibliche Genie dem Leben und Werk von Melanie Klein, die mit ihren Arbeiten über die früheste Verfasstheit des Psychischen das psychoanalytische Denken für die Psychosen und den Wahn aufschloss und die Rolle des Mütterlichen im psychoanalytischen Diskurs neu definierte. In ihrer Auseinandersetzung mit Klein gelingt Kristeva nicht nur eine ausgesprochen gelungene Einführung in Kleins Denken, sondern auch eine Analyse weiblicher Intellektualität im 20. Jahrhundert. Zudem werden die Schnittstellen im Denken Kleins und Kristevas sichtbar.
Symmetry analysis of the Klein-Gordon equation in Bianchi I spacetimes
Paliathanasis, A.; Tsamparlis, M.; Mustafa, M. T.
2015-02-01
In this work we perform the symmetry classification of the Klein-Gordon equation in Bianchi I spacetime. We apply a geometric method which relates the Lie symmetries of the Klein-Gordon equation with the conformal algebra of the underlying geometry. Furthermore, we prove that the Lie symmetries which follow from the conformal algebra are also Noether symmetries for the Klein-Gordon equation. We use these results in order to determine all the potentials in which the Klein-Gordon admits Lie and Noether symmetries. Due to the large number of cases and for easy reference the results are presented in the form of tables. For some of the potentials we use the Lie admitted symmetries to determine the corresponding invariant solution of the Klein-Gordon equation. Finally, we show that the results also solve the problem of classification of Lie/Noether point symmetries of the wave equation in Bianchi I spacetime and can be used for the determination of invariant solutions of the wave equation.
Symmetry analysis of the Klein-Gordon equation in Bianchi I spacetimes
Paliathanasis, A; Mustafa, M T
2014-01-01
In this work we perform the symmetry classification of the Klein Gordon equation in Bianchi I spacetime. We apply a geometric method which relates the Lie symmetries of the Klein Gordon equation with the conformal algebra of the underlying geometry. Furthermore, we prove that the Lie symmetries which follow from the conformal algebra are also and Noether symmetries for the Klein Gordon equation. We use these resutls in order to determine all the potentials in which the Klein Gordon admits Lie and Noether symmetries. Due to the large number of cases and for easy reference the results are presented in the form of tables. For some of the potentials we use the Lie admitted symmetries to determine the corresponding invariant solution of the Klein Gordon equation. Finally, we show that the results also solve the problem of classification of Lie/Noether point symmetries of the wave equation in Bianchi I spacetime and can be used for the determination of invariant solutions of the wave equation.
A neurose obsessiva sob a ótica de Melanie Klein
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Marcos Leandro Klipan
2012-12-01
Full Text Available Essa pesquisa aborda o tema 'neurose obsessiva' na obra de Melanie Klein. Assim, foi possível estudar um panorama histórico da construção do pensamento dessa autora - tendo em vista que seguimos um itinerário cronológico de seus textos - e, como consequência importante, obter uma dimensão epistemológica dessa construção. Isso porque a neurose obsessiva constitui-se como um destacado elemento organizador da obra de Klein, sobretudo nas décadas de 1920 e 1930, período que marcou o atendimento dos primeiros pacientes da autora que, em sua maioria, eram crianças que sofriam de neurose obsessiva.The obsessive neurosis from Melanie Klein's optic. This research focuses on obsessive neurosis in Melanie Klein's. Thus, it was also possible to study a historical broad view of the construction of this author's thought, having in mind that a chronological itinerary was followed, and, as an important consequence, an epistemological dimension of this construction was obtained. This was so because the obsessive neurosis constitutes an outstanding organizing element in Klein's work, mainly in the 1920's and 30's. This time was marked by the observation of the author's first patients, who were, in their majority, children suffering from obsessive neurosis.
Melanie Klein and Repression: an examination of some unpublished Notes of 1934.
Hinshelwood, R D
2006-01-01
Fifteen pages of unpublished Notes were found in the Melanie Klein Archives dating from early 1934, a crucial moment in Klein's development. She was at this time, 1934, moving away from child analysis, whilst also rethinking and revising her allegiance to Karl Abraham's theory of the phases of libidinal development. These Notes, entitled "Early Repression Mechanism," show Klein struggling to develop what became her characteristic theories of the depressive position and the paranoid-schizoid position. Although these Notes are precursors of the paper Klein gave later to the IPA Congress in 1934, they also show the origins of the emphasis she and her followers eventually gave to "splitting" rather than repression. The Notes give us an insight into the way that she worked clinically at the time. We see Klein's confidence develop as she diverged from the classical theories and technique. Her ideas were based on close attention to the detail of her clinical material, rather than attacking theoretical problems directly. The Notes show her method of struggling to her own conclusions, and they offer us a chance to grasp the roots of the subsequent controversy over Kleinian thought.
Frank, C; Weiss, H
1996-12-01
Using the example of the analysis of 6-year-old Erna, which extended over more than two years and was the longest treatment conducted by Melanie Klein in her Berlin years, the authors demonstrate the importance of her early child analyses for the development of some of her concepts and hence for a decisive advance in psychoanalysis itself. For this purpose they adduce unpublished original documents found among Klein's papers in London, which include autobiographical material, the text of her Würzburg lecture on her obsessional-neurotic little patient, handwritten session notes, and drawings by Erna herself. Although in the author's view Klein attempted to accommodate her findings within Freud's theoretical framework, her clinical experience of the psychic reality of the relational world of early oedipality eventually called for the introduction of new concepts. The combined parent figure, primary sadism, the paranoid-schizoid position, splitting, the relevance of the death drive to the superego, and later formulations on reparation, envy and gratitude are all shown to be foreshadowed in Klein's account of the treatment of Erna. After some retrospective considerations of Erna's analysis and a fleeting glimpse of Erna as an adult, the authors conclude by emphasising the significance of Klein's emigration to England for the subsequent flowering of her work.
Consistent truncations with massive modes and holography
Cassani, Davide; Faedo, Anton F
2011-01-01
We review the basic features of some recently found consistent Kaluza-Klein truncations including massive modes. We emphasize the general ideas underlying the reduction procedure, then we focus on type IIB supergravity on 5-dimensional manifolds admitting a Sasaki-Einstein structure, which leads to half-maximal gauged supergravity in five dimensions. Finally, we comment on the holographic picture of consistency.
Scalar field theory on fuzzy S{sup 4}
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Medina, Julieta; O' Connor, Denjoe [School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin (Ireland) and Depto de Fisica, Cinvestav, Mexico (Mexico)]. E-mail addresses: julieta@stp.dias.ie, denjoe@stp.dias.ie
2003-11-01
Scalar fields are studied on fuzzy S{sup 4} and a solution is found for the elimination of the unwanted degrees of freedom that occur in the model. The resulting theory can be interpreted as a Kaluza-Klein reduction of CP{sup 3} to S{sup 4} in the fuzzy context. (author)
Scalar Field Theory on Fuzzy S^4
Medina, J; Medina, Julieta; Connor, Denjoe O'
2003-01-01
Scalar fields are studied on fuzzy $S^4$ and a solution is found for the elimination of the unwanted degrees of freedom that occur in the model. The resulting theory can be interpreted as a Kaluza-Klein reduction of CP^3 to S^4 in the fuzzy context.
From M-theory higher curvature terms to α' corrections in F-theory
Grimm, Thomas W.; Keitel, Jan; Savelli, Raffaele; Weissenbacher, Matthias
2016-01-01
We perform a Kaluza-Klein reduction of eleven-dimensional supergravity on a Calabi-Yau fourfold including terms quartic and cubic in the Riemann curvature and determine the induced corrections to the three-dimensional N=2 effective action. We focus on the effective Einstein-Hilbert term and the
What do Klein et al. tell us about test scores in Texas?
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Laurence A. Toenjes
2005-08-01
Full Text Available A paper appearing in this journal by Klein, Hamilton, McCaffrey and Stecher (2000 attempted to raise serious questions about the validity of the gains in student performance as measured by Texas' standardized test, the Texas Assessment of Academic Skills (TAAS. Part of their analysis was based on the results of three tests which they administered to 2,000 fifth grade students in 20 Texas schools. Although Klein et al. indicated that the 20 schools were not selected in a way which would insure that they were representative of the nearly 3,000 Texas schools that enrolled fifth graders, generalizations based upon the results for those schools were nonetheless offered. The purpose of this short paper is to demonstrate just how unrepresentative the 20 schools used by Klein et al. actually were, and in so doing to cast doubt on certain of their conclusions.
Melanie Klein and Anna Freud: the discourse of the early dispute.
Viner, R
1996-01-01
Divisions in the field of the psychoanalysis of children can be traced to a dispute over the infantile super-ego between the theorists Melanie Klein and Anna Freud beginning in 1927. These divisions are understood within the analytic world as the result of scientific disputation between alternative valid theories. An examination of the language, claims, and epistemology of Klein's and Freud's publications in 1927 that marked the public commencement of the conflict, reveals a personalized discourse in which authority was derived from the allegiance, experience, and personal analytic standing of the contestants as much as from theoretical insight. The structure and rhetoric of the debate suggest that, rather than terminating the dispute, the publications of 1927 served to encourage professionalization in child analysis and establish Anna Freud and Melanie Klein as authoritative alternative theorists.
ASYMPTOTIC THEORY OF INITIAL VALUE PROBLEMS FOR NONLINEAR PERTURBED KLEIN-GORDON EQUATIONS
Institute of Scientific and Technical Information of China (English)
GAN Zai-hui; ZHANG Jian
2005-01-01
The asymptotic theory of initial value problems for a class of nonlinear perturbed Klein-Gordon equations in two space dimensions is considered. Firstly, using the contraction mapping principle, combining some priori estimates and the convergence of Bessel function, the well-posedness of solutions of the initial value problem in twice continuous differentiable space was obtained according to the equivalent integral equation of initial value problem for the Klein-Gordon equations. Next, formal approximations of initial value problem was constructed by perturbation method and the asymptotic validity of the formal approximation is got. Finally, an application of the asymptotic theory was given, the asymptotic approximation degree of solutions for the initial value problem of a specific nonlinear Klein-Gordon equation was analyzed by using the asymptotic approximation theorem.
Rocamora, Rodrigo; Gil-Nagel, Antonio; Franch, Oriol; Vela-Bueno, Antonio
2010-11-01
Kleine-Levin syndrome and menstrual-related hypersomnia are rare idiopathic sleep disorders occurring primarily in adolescence. They are characterized by intermittent periods of excessive sleepiness, cognitive disturbances, and behavioral abnormalities. In both, the etiology remains unknown but autoinmune, hormonal, infectious, and inflammatory mechanisms have been proposed. The authors describe, for the first time, the association of Kleine-Levin syndrome and menstrual-related hypersomnia in 2 adolescent siblings who shared the human leukocyte antigen (HLA) loci DQB1*0501. The same haplotype has been associated with sleepwalking and with rapid eye movement (REM) sleep behavior disorder. This gender differences in the manifestation of a probably genetic influenced sleep disorder suggests that hormonal mechanisms could be implicated in the phenotypical expression of this sleep disorder. The male sibling with Kleine-Levin syndrome was easily controlled with carbamazepine in low doses, but his sister could be only efficaciously treated with oral contraceptives.
Calvin Klein Collection零售旗舰店北京盛大开幕
Institute of Scientific and Technical Information of China (English)
张录音（译）
2007-01-01
Calvin Klein Collection零售旗舰店在北京盛大开幕。为特别配合这次晚宴而订制的家具摆设以及独特的空间设计、灰暗的灯光为晚宴现场营造出了高贵和优雅的氛围．清幽秀丽的百合花以及简洁的Calvin Klein Home家居用品将餐桌装点得分外别致．
Abelian Yang-Mills Theory on Real Tori and Theta Divisors of Klein Surfaces
Okonek, Christian; Teleman, Andrei
2013-11-01
The purpose of this paper is to compute determinant index bundles of certain families of Real Dirac type operators on Klein surfaces as elements in the corresponding Grothendieck group of Real line bundles in the sense of Atiyah. On a Klein surface these determinant index bundles have a natural holomorphic description as theta line bundles. In particular we compute the first Stiefel-Whitney classes of the corresponding fixed point bundles on the real part of the Picard torus. The computation of these classes is important, because they control to a large extent the orientability of certain moduli spaces in Real gauge theory and Real algebraic geometry.
Nonrelativistic gauged quantum mechanics: From Kaluza–Klein compactifications to Bargmann structures
Energy Technology Data Exchange (ETDEWEB)
Bargueño, Pedro, E-mail: p.bargueno@uniandes.edu.co
2015-08-14
Highlights: • Null compactification techniques are used to derive the nonrelativistic gauged Schrödinger equation. • Compactification of both Klein–Gordon and Maxwell theories are revisited. • Connections with Kaluza–Klein-like Bargmann frameworks are established. - Abstract: The Schrödinger equation for a spinless particle in presence of an external electromagnetic field is derived by means of null compactification of five dimensional massless Klein–Gordon theory and five–dimensional Maxwell electrodynamics. Connections with Kaluza–Klein-like Bargmann frameworks are established.
Strong gravitational lensing in a charged squashed Kaluza–Klein Gödel black hole
Energy Technology Data Exchange (ETDEWEB)
Sadeghi, J., E-mail: pouriya@ipm.ir [Physics Department, Mazandaran University, P.O.Box 47416-95447, Babolsar (Iran, Islamic Republic of); Naji, J., E-mail: Naji_jalil@yahoo.com [Physics Department, Ilam University, P. O. Box 69315-516, Ilam (Iran, Islamic Republic of); Vaez, H., E-mail: h.vaez@umz.ac.ir [Physics Department, Mazandaran University, P.O.Box 47416-95447, Babolsar (Iran, Islamic Republic of); Young researchers club, Ayatollah Amoli branch, Islamic azad university, Amol (Iran, Islamic Republic of)
2014-01-20
In this Letter we investigate the strong gravitational lansing in a charged squashed Kaluza–Klein Gödel black hole. The deflection angle is considered by the logarithmic term proposed by Bozza et al. Then we study the variation of deflection angle and its parameters a{sup ¯} and b{sup ¯}. We suppose that the supermassive black hole in the galaxy center can be considered by a charged squashed Kaluza–Klein black hole in a Gödel background. Then by the relations between lensing parameters and observables, we estimate the observables for different values of charge, extra dimension and Gödel parameters.
The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space
Institute of Scientific and Technical Information of China (English)
B. Mirza; M. Mohadesi
2004-01-01
We study the Dirac and the Klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics ofa particle in a commutative space and in a constant magnetic field. The Dirac oscillator in a noncommutative space has a similar equation to the equation of motion for a relativistic fermion in a commutative space and in a magnetic field, however a new exotic term appears, which implies that a charged fermion in a noncommutative space has an electric dipole moment.
The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space
Institute of Scientific and Technical Information of China (English)
B.Mirza; M.Mohadesi
2004-01-01
We study the Dirac and the Klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics of a particle in a commutative space and in a constant magnetic field. The Dirac oscillator in a noncommutative space has a similar equation to the equation of motion for a relativistic fermion in a commutative space and in a magnetic field, however a new exotic term appears, which implies that a charged fermion in a noncommutative space has an electric dipole moment.
Solutions for the Klein-Gordon and Dirac equations on the lattice based on Chebyshev polynomials
Faustino, Nelson
2016-01-01
The main goal of this paper is to adopt a multivector calculus scheme to study finite difference discretizations of Klein-Gordon and Dirac equations for which Chebyshev polynomials of the first kind may be used to represent a set of solutions. The development of a well-adapted discrete Clifford calculus framework based on spinor fields allows us to represent, using solely projection based arguments, the solutions for the discretized Dirac equations from the knowledge of the solutions of the discretized Klein-Gordon equation. Implications of those findings on the interpretation of the lattice fermion doubling problem is briefly discussed.
Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit
Suárez, Abril
2015-01-01
Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit. We consider a complex self-interacting scalar field with an arbitrary potential of the form $V(|\\varphi|^2)$. We compare the results with simplified models in which the gravitational potential is introduced by hand in the Klein-Gordon equation, and assumed to satisfy a (generalized) Poisson equation. Nonrelativistic hydrodynamic equations based on the Schr\\"odinger-Poisson equations or on the Gross-Pitaevskii-Poisson equations are recovered in the limit $c\\rightarrow +\\infty$.
Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit
Suárez, Abril; Chavanis, Pierre-Henri
2015-11-01
Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit. We consider a complex self-interacting scalar field with an arbitrary potential of the form V(|ϕ|2). We compare the results with simplified models in which the gravitational potential is introduced by hand in the Klein-Gordon equation, and assumed to satisfy a (generalized) Poisson equation. Nonrelativistic hydrodynamic equations based on the Schrodinger-Poisson equations or on the Gross-Pitaevskii-Poisson equations are recovered in the limit c → +∞.
Exact Solutions of the Klein-Gordon Equation with a New Anharmonic Oscillator Potential
Institute of Scientific and Technical Information of China (English)
ZHANG Min-Cang; WANG Zhen-Bang
2005-01-01
@@ We solve the Klein-Gordon equation with a new anharmonic oscillator potential and present the exact solutions.It is shown that under the condition of equal scalar and vector potentials, the Klein-Gordon equation could be separated into an angular equation and a radial equation. The angular solutions are the associated-Legendre polynomial and the radial solutions are expressed in terms of the confluent hypergeometric functions. Finally,the energy equation is obtained from the boundary condition satisfied by the radial wavefunctions.
Foundation of Euclidean and non-Euclidean geometries according to F. Klein
Redei, L; Stark, M
1968-01-01
Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein aims to remedy the deficiency in geometry so that the ideas of F. Klein obtain the place they merit in the literature of mathematics.This book discusses the axioms of betweenness, lattice of linear subspaces, generalization of the notion of space, and coplanar Desargues configurations. The central collineations of the plane, fundamental theorem of projective geometry, and lines perpendicular to a proper plane are also elaborated. This text likewise covers the axioms of motion, basic projective configurations, properties
Analytical solutions for Dirac and Klein-Gordon equations using Backlund transformations
Energy Technology Data Exchange (ETDEWEB)
Zabadal, Jorge R.; Borges, Volnei, E-mail: jorge.zabadal@ufrgs.br, E-mail: borges@ufrgs.br [Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, RS (Brazil). Dept. de Engenharia Mecanica; Ribeiro, Vinicius G., E-mail: vinicius_ribeiro@uniritter.edu.br [Centro Universitario Ritter dos Reis (UNIRITTER), Porto Alegre, RS (Brazil); Santos, Marcio, E-mail: marciophd@gmail.com [Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, RS (Brazil). Centro de Estudos Interdisciplinares
2015-07-01
This work presents a new analytical method for solving Klein-Gordon type equations via Backlund transformations. The method consists in mapping the Klein-Gordon model into a first order system of partial differential equations, which contains a generalized velocity field instead of the Dirac matrices. This system is a tensor model for quantum field theory whose space solution is wider than the Dirac model in the original form. Thus, after finding analytical expressions for the wave functions, the Maxwell field can be readily obtained from the Dirac equations, furnishing a self-consistent field solution for the Maxwell-Dirac system. Analytical and numerical results are reported. (author)
Between practice and theory: Melanie Klein, Anna Freud and the development of child analysis.
Donaldson, G
1996-04-01
An examination of the early history of child analysis in the writings of Melanie Klein and Anna Freud reveals how two different and opposing approaches to child analysis arose at the same time. The two methods of child analysis are rooted in a differential emphasis on psychoanalytic theory and practice. The Kleinian method derives from the application of technique while the Anna Freudian method is driven by theory. Furthermore, by holding to the Freudian theory of child development Anna Freud was forced to limit the scope of child analysis, while Klein's application of Freudian practice has led to new discoveries about the development of the infant psyche.
A neurose obsessiva sob a ótica de Melanie Klein
Marcos Leandro Klipan; Gustavo Adolfo Ramos Mello Neto
2012-01-01
Essa pesquisa aborda o tema 'neurose obsessiva' na obra de Melanie Klein. Assim, foi possível estudar um panorama histórico da construção do pensamento dessa autora - tendo em vista que seguimos um itinerário cronológico de seus textos - e, como consequência importante, obter uma dimensão epistemológica dessa construção. Isso porque a neurose obsessiva constitui-se como um destacado elemento organizador da obra de Klein, sobretudo nas décadas de 1920 e 1930, período que marcou o atendimento d...
Analytical approximate solution for nonlinear space-time fractional Klein-Gordon equation
Institute of Scientific and Technical Information of China (English)
Khaled A.Gepreel; Mohamed S.Mohamed
2013-01-01
The fractional derivatives in the sense of Caputo and the homotopy analysis method are used to construct an approximate solution for the nonlinear space-time fractional derivatives Klein-Gordon equation.The numerical results show that the approaches are easy to implement and accurate when applied to the nonlinear space-time fractional derivatives KleinGordon equation.This method introduces a promising tool for solving many space-time fractional partial differential equations.This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.
Institute of Scientific and Technical Information of China (English)
李中永; 郭建友
2008-01-01
Under the condition of an equal mixing of vector and scalar potentials, we have solved exactly the Klein Gordon equation in an asymmetrical generalized Hartmann potential. With the boundary conditions of bound states, we have obtained the corresponding energy spectrum via an expression and wave functions in terms of hypergeometric functions.%在标量势和矢量势相等的条件下,严格求解了在广义非对称Hartmann势场中粒子运动的Klein Gordon方程;并利用束缚态边界条件,获得了束缚态能谱表达式和由超几何函数表示出的波函数.
Institute of Scientific and Technical Information of China (English)
夏静娜; 韩淑霞; 王明亮
2002-01-01
利用齐次平衡原则导出Klein-Gordom-Schrodinger方程组的精确孤立波解.该解在形式上比文献中纯理论的存在性证明的结果更一般,文献中的解的形式是该结果的特殊情形.
Institute of Scientific and Technical Information of China (English)
甘在会; 张健
2005-01-01
本文研究一类带双势的非线性Klein-Gordon方程.根据基态的特征,用势井方法和凹方法证明了解爆破和整体存在的最佳条件.同时还证明了当初值为多小时,整体解存在.
Institute of Scientific and Technical Information of China (English)
陆法林
2005-01-01
By using the usual method of variable separation, bound states of Klein-Gordon equation with equal Hartmann scalar and vector potentials are solved. Properties of the system relate to three quantum numbers and parameters of Hartmann potential. The normalized angle wave function expressed in terms of the universal associated-Legendre polynomial and the normalized radial wave function expressed in terms of the confluent hypergeometric function are presented. The exacl energy spectrum equations are obtained. Bound states of Klein-Gordon equation for Hydrogen potential are special cases for the Hartmann potential in the Letter.%用分离变量方法讨论了在Hartmann标量势和矢量势相等条件下Klein-Gordon方程的束缚态解.体系的性质与三个量子数及Hartmann势的势参数有关.给出了用广义连带勒让得多项式表示的归一化角向波函数和用合流超几何函数表示的归一化径向波函数,获得了精确的束缚态能谱方程.氢原子势是本文Hartmann势的特例.
Verification of Compton Collision and Klein-Nishina Formulas--An Undergraduate Laboratory Experiment
Singhal, R. P.; Burns, A. J.
1978-01-01
Describes an experiment to verify the Compton collision formula and the angular dependance of the Klein-Nishina formula. Equipment used is a 1-mCi(137)Cs source, 2x2 in. NaI detector and a multichannel analyzer. Suitable for honor undergraduates. (Author/GA)
Donker, H. C.; Katsnelson, M. I.; De Raedt, H.; Michielsen, K.
The logical inference approach to quantum theory, proposed earlier De Raedt et al. (2014), is considered in a relativistic setting. It is shown that the Klein-Gordon equation for a massive, charged, and spinless particle derives from the combination of the requirements that the space-time data
Oskar Klein, the sixth dimension and the strength of a magnetic pole
Sandoval-Villalbazo, A; García-Perciante, A L
2003-01-01
This work extends to six dimensions the idea first proposed by Klein regarding a closed space in the context of a fifth dimension and its link to quantum theory. The main result is a formula that expresses the value of the characteristic length of the sixth dimension in terms of the strength of a magnetic monopole $g$. Possible consequences of the idea are discussed.
Reduced Loop Quantization with four Klein-Gordon Scalar Fields as Reference Matter
Giesel, Kristina
2016-01-01
In this paper we perform a reduced phase space quantization of gravity using four Klein-Gordon scalar fields as reference matter as an alternative to the Brown-Kucha\\v{r} dust model in [1] where eight (dust) scalar fields are used. We compare our results to an earlier model by Domagala et. al. [2] where only one Klein-Gordon scalar field was considered as reference matter for the Hamiltonian constraint. As a result we find that the choice of four Klein-Gordon scalar fields as reference matter leads to a reduced dynamical model that cannot be quantized using loop quantum gravity techniques. However, we further discuss a slight generalization of the action for the four Klein-Gordon scalar fields and show that this leads to a model which can be quantized in the framework of loop quantum gravity. Particularly, considering the model by Domagala et. al. [2] and the one introduced in this work we are able to compare Dirac and reduced phase space quantization.
Stationary Solutions of the Klein-Gordon Equation in a Potential Field
Bi, Guangqing
2010-01-01
We seek to introduce a mathematical method to derive the Klein-Gordon equation and a set of relevant laws strictly, which combines the relativistic wave functions in two inertial frames of reference. If we define the stationary state wave functions as special solutions like $\\Psi(\\mathbf{r},t)=\\psi(\\mathbf{r})e^{-iEt/\\hbar}$, and define $m=E/c^2$, which is called the mass of the system, then the Klein-Gordon equation can clearly be expressed in a better form when compared with the non-relativistic limit, which not only allows us to transplant the solving approach of the Schr\\"{o}dinger equation into the relativistic wave equations, but also proves that the stationary solutions of the Klein-Gordon equation in a potential field have the probability significance. For comparison, we have also discussed the Dirac equation. By introducing the concept of system mass into the Klein-Gordon equation with the scalar and vector potentials, we prove that if the Schr\\"{o dinger equation in a certain potential field can be ...
De waarde van het dubbelcontrastonderzoek bij de diagnostiek van kleine colon-en rectumtumoren
Thijn, Cornelis Jacob Pieter
1964-01-01
SAMENVATTING In de inleiding wordt aan de hand van enkele cijfers gewezen op het belang van een vroegtijdige diagnostiek van colon- en rectumtumoren. Met het conventionele colononderzoek is de diagnostiek van kleine tumoren zeer moeilijk. Uit het historisch overzicht blijkt dat reeds tientallen jare
Uniform decay for a local dissipative Klein-Gordon-Schrodinger type system
Directory of Open Access Journals (Sweden)
Marilena N. Poulou
2012-10-01
Full Text Available In this article, we consider a nonlinear Klein-Gordon-Schrodinger type system in $mathbb{R}^n$, where the nonlinear term exists and the damping term is effective. We prove the existence and uniqueness of a global solution and its exponential decay. The result is achieved by using the multiplier technique.
Directory of Open Access Journals (Sweden)
Kai Tsuruta
2013-05-01
Full Text Available We prove the existence of the wave operator for the Klein-Gordon-Schrodinger system with Yukawa coupling. This non-linearity type is below Strichartz scaling, and therefore classic perturbation methods will fail in any Strichartz space. Instead, we follow the "first iteration method" to handle these critical non-linearities.
Donker, H. C.; Katsnelson, M. I.; De Raedt, H.; Michielsen, K.
2016-01-01
The logical inference approach to quantum theory, proposed earlier De Raedt et al. (2014), is considered in a relativistic setting. It is shown that the Klein-Gordon equation for a massive, charged, and spinless particle derives from the combination of the requirements that the space-time data colle
Deformed phase space Kaluza–Klein cosmology and late time acceleration
Energy Technology Data Exchange (ETDEWEB)
Sabido, M., E-mail: msabido@fisica.ugto.mx [Departamento de Física de la Universidad de Guanajuato, A.P. E-143, C.P. 37150, León, Guanajuato (Mexico); Yee-Romero, C., E-mail: carlos.yee@uabc.edu.mx [Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Baja California, Ensenada, Baja California (Mexico)
2016-06-10
The effects of phase space deformations on Kaluza–Klein cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables. In the deformed model, we find an accelerating scale factor and therefore infer the existence of an effective cosmological constant from the phase space deformation parameter β.
Group classification and conservation laws of the generalized Klein-Gordon-Fock equation
Muatjetjeja, B.
2016-08-01
In the present paper, we perform Lie and Noether symmetries of the generalized Klein-Gordon-Fock equation. It is shown that the principal Lie algebra, which is one-dimensional, has several possible extensions. It is further shown that several cases arise for which Noether symmetries exist. Exact solutions for some cases are also obtained from the invariant solutions of the investigated equation.
Darboux Transformations for Energy-Dependent Potentials and the Klein-Gordon Equation
Energy Technology Data Exchange (ETDEWEB)
Schulze-Halberg, Axel, E-mail: axgeschu@iun.edu [Indiana University Northwest, Department of Mathematics and Actuarial Science (United States)
2013-06-15
We construct explicit Darboux transformations for a generalized Schroedinger-type equation with energy-dependent potential, a special case of which is the stationary Klein-Gordon equation. Our results complement and generalize former findings (Lin et al., Phys Lett A 362:212-214, 2007).
New Doubly Periodic Solutions for the Coupled Nonlinear Klein-Gordon Equations
Institute of Scientific and Technical Information of China (English)
LIU Chun-Ping
2005-01-01
By using the general solutions of a new coupled Riccati equations, a direct algebraic method is described to construct doubly periodic solutions (Jacobi elliptic function solution) for the coupled nonlinear Klein-Gordon equations.It is shown that more doubly periodic solutions and the corresponding solitary wave solutions and trigonometric function solutions can be obtained in a unified way by this method.
Institute of Scientific and Technical Information of China (English)
Zhao Caidi; Zhou Shengfan; Li Yongsheng
2008-01-01
This note discusses the long time behavior of solutions for nonautonomous weakly dissipative Klein-Gordon-Schrodinger equations with homogeneous Dirichlet bound-ary condition. The authors prove the existence of compact kernel sections for the associated process by using a suitable decomposition of the equations.
Bound State Solutions of Klein-Gordon Equation with the Kratzer Potential
Institute of Scientific and Technical Information of China (English)
M. Ko(c)ak
2007-01-01
The relativistic problem of spinless particle subject to a Kratzer potential is analysed. Bound state solutions for s-waves are found by separating the Klein-Gordon equation into two parts. Unlike the similar works in the literature, the separation make it possible to see explicitly the relativistic contributions, if any, to the solution in the non-relativistic limit.
Directory of Open Access Journals (Sweden)
Maxim Olegovich Korpusov
2012-07-01
Full Text Available In this article the initial-boundary-value problem for generalized dissipative high-order equation of Klein-Gordon type is considered. We continue our study of nonlinear hyperbolic equations and systems with arbitrary positive energy. The modified concavity method by Levine is used for proving blow-up of solutions.
Klein Paradox of Two-Dimensional Dirac Electrons in Circular Well Potential
Institute of Scientific and Technical Information of China (English)
黄海; 付星球; 韩榕生
2012-01-01
We study two-dimensional massive Dirac equation in circular well potential. The energies of bound states are obtained. We demonstrate the Klein paradox of this relativistic wave equation： For large enough potential depth, the bound states disappear from the spectra. Applications to graphene systems are discussed.
Exact Solutions of the Klein-Gordon Equation with Hylleraas Potential
Ikot, Akpan N; Ita, Benedict I
2011-01-01
We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function are also obtained and expressed in terms of Jacobi Polynomials
GLOBAL SOLUTIONS AND FINITE TIME BLOW UP FOR DAMPED KLEIN-GORDON EQUATION
Institute of Scientific and Technical Information of China (English)
Runzhang XU; Yunhua DING
2013-01-01
We study the Cauchy problem of strongly damped Klein-Gordon equation.Global existence and asymptotic behavior of solutions with initial data in the potential well are derived.Moreover,not only does finite time blow up with initial data in the unstable set is proved,but also blow up results with arbitrary positive initial energy are obtained.
The acoustical Klein-Gordon equation: the wave-mechanical step and barrier potential functions.
Forbes, Barbara J; Pike, E Roy; Sharp, David B
2003-09-01
The transformed form of the Webster equation is investigated. Usually described as analogous to the Schrödinger equation of quantum mechanics, it is noted that the second-order time dependency defines a Klein-Gordon problem. This "acoustical Klein-Gordon equation" is analyzed with particular reference to the acoustical properties of wave-mechanical potential functions, U(x), that give rise to geometry-dependent dispersions at rapid variations in tract cross section. Such dispersions are not elucidated by other one-dimensional--cylindrical or conical--duct models. Since Sturm-Liouville analysis is not appropriate for inhomogeneous boundary conditions, the exact solution of the Klein-Gordon equation is achieved through a Green's-function methodology referring to the transfer matrix of an arbitrary string of square potential functions, including a square barrier equivalent to a radiation impedance. The general conclusion of the paper is that, in the absence of precise knowledge of initial conditions on the area function, any given potential function will map to a multiplicity of area functions of identical relative resonance characteristics. Since the potential function maps uniquely to the acoustical output, it is suggested that the one-dimensional wave physics is both most accurately and most compactly described within the Klein-Gordon framework.
Exact Analytical Solution of the Klein-Gordon Equation in the Generalized Woods-Saxon Potential
Bayrak, O.; Sahin, D.
2015-09-01
The exact analytical solution of the Klein-Gordon equation for the spin-0 particles in the generalized Woods-Saxon potential is presented. The bound state energy eigenvalues and corresponding wave functions are obtained in the closed forms. The correlations between the potential parameters and energy eigenvalues are examined for π0 particles.
Soliton-potential interaction in the Nonlinear Klein-Gordon Model
Saadatmand, Danial
2011-01-01
Interaction of solitons with external potentials in nonlinear Klein-Gordon field theory is investigated using an improved model. Presented model is constructed with a better approximation for adding the potential to the lagrangian through the metric of background space-time. The results of the model are compared with the another model and the differences are discussed.
Rojas, Clara
2014-09-01
We solve the Klein-Gordon equation for a step potential with hyperbolic tangent potential. The scattering solutions are derived in terms of hypergeometric functions. The reflection coefficient R and transmission coefficient T are calculated, we observed superradiance and transmission resonances.
Onyeaju, M. C.; Ikot, A. N.; Chukwuocha, E. O.; Obong, H. P.; Zare, S.; Hassanabadi, H.
2016-09-01
Scattering and bound states solution for the one-dimensional Klein-Gordon particle with Hylleraas potential is presented within the frame work of position dependent effective mass formalism. We calculate in detail the reflection and transmission coefficients using the properties of hypergeometric functions and the equation of continuity of the wave functions.
Exact solutions of the Klein-Gordon equation with Makarov potential and a recurrence relation
Institute of Scientific and Technical Information of China (English)
Zhang Min-Cang; Wang Zhen-Bang
2007-01-01
In this paper, the Klein-Gordon equation with equal scalar and vector Makarov potentials is studied by the factorization method. The energy equation and the normalized bound state solutions are obtained, a recurrence relation between the different principal quantum number n corresponding to a certain angular quantum number e is established and some special cases of Makarov potential are discussed.
Patronage in the dispute over child analysis between Melanie Klein and Anna Freud--1927-1932.
Aguayo, J
2000-08-01
The author investigates the role of patrons and advocates for Melanie Klein's clinical ideas at the British Psycho-Analytical Society against the backdrop of her theoretical and technical differences with Anna Freud from 1927 to 1932. He also outlines the development of Klein and Anna Freud's theories and techniques within the nascent discipline of child psychoanalysis. The London and Viennese patrons/advocates contributed to polarising what initially were clinical differences about how to analyse pre-latency and latency-age children and which technical processes might best facilitate successful treatment. While the author speculates that a diversity of motivations and agendas may have driven the London group's support for Klein--personal and politicised enthusiasm (Jones), genuine conviction (Riviere) and attempts at theoretical rapprochement between the London and Vienna schools (Glover)--he also argues that Freud's diagnosis with cancer in 1923 and suspicion of patricidal son-successors necessitated the choice of a female successor with unquestioning loyalty to his doctrines. From 1932, when Klein's clinical authority was established, her first group of English supporters began to splinter, as she went on to become a training analyst, mentor and patron in her own right to a succeeding generation of adherents who defended her views during the Controversial Discussions.
On 'the fear of death' as the primary anxiety: how and why Klein differs from Freud.
Blass, Rachel B
2014-08-01
It is well known that Melanie Klein held the view that 'fear of death' is the primary source of anxiety and that her position is explicitly opposed to that of Sigmund Freud, who maintained that that fear cannot in any way or form be a source of anxiety. In a previous article on Freud's Inhibitions, Symptoms and Anxiety (Blass, 2013), the author argued that, counter to what is commonly portrayed in the literature, Freud's considerations for rejecting the fear of death as a source of anxiety were based on relational and experiential factors that are usually associated with Kleinian psychoanalysis. In light of this affinity of Freud with Klein a question arises as to the actual source of their differences in this context. The present paper offers an answer to this question. The author first presents some of her earlier findings on what led Freud to reject the fear of death as a source of anxiety and then turns to investigate Klein's considerations for accepting it. This takes us beyond her explicit statements on this matter and sheds new light on the relationship of her views regarding death and anxiety and those of Freud. In turn this deepens the understanding of the relationship of Freud and Klein's conceptualizations of the psyche and its internal object relations, pointing to both surprising common ground and foundational differences. Copyright © 2014 Institute of Psychoanalysis.
Migraine with brainstem aura presenting as recurrent hypersomnia (Kleine-Levin syndrome).
Nesbitt, Alexander D; Leschziner, Guy D
2016-10-01
Recurrent hypersomnia, or Kleine-Levin syndrome, is rare and frequently causes substantial diagnostic anxiety and delay. Patients often undergo multiple investigations to rule out other causes of encephalopathy. The treatment options are unsatisfactory. Migraine with brainstem aura has not previously been widely considered in the medical literature as a differential diagnosis. We describe two patients referred to a tertiary sleep neurology service with a putative diagnosis of Kleine-Levin syndrome. Each described attacks of hypersomnia with elements of migraine with brainstem aura, in addition to having a history of migraine with aura. Simple acute migraine treatment clearly attenuated further attacks. These cases generate discussion as to the common features and potential mechanisms underlying both disorders. Furthermore, they highlight a hitherto underexplored alternative diagnosis of Kleine-Levin syndrome. This provides scope for offering established and effective migraine treatment options to patients who with a potential misdiagnosis of Kleine-Levin syndrome, providing scope for offering established and effective migraine treatment to some patients originally diagnosed with a rare condition for which there is no current consistently effective therapeutic options.
Positive and ground state solutions for the critical Klein-Gordon-Maxwell system with potentials
Carriao, Paulo C; Miyagaki, Olimpio H
2010-01-01
In this paper we study a class of Klein-Gordon-Maxwell system when the nonlinearity exhibits critical growth. First we prove both existence and ground state solutions for this system with a periodic potencial V, and then we show the existence in the case that a nonperiodic potencial V is introduced.
N=4 and N=8 SUSY Quantum Mechanics and Klein's Vierergruppe
Gates, S James; Iga, Kevin; Mendez-Diez, Stefan
2016-01-01
Sets of signed permutation matrices satisfying the GR(4,4) algebra are shown to be, up to sign, left cosets of Klein's famous Vierergruppe. In this way we verify the count done by computer in 2012, and set it in a more significant mathematical context. A similar analysis works for GR(1,1), GR(2,2) and GR(8,8).
Degree-Regular Triangulations of Torus and Klein Bottle-Erratum
Indian Academy of Sciences (India)
Basudeb Datta; Ashish Kumar Upadhyay
2005-08-01
A triangulation of a connected closed surface is called weakly regular if the action of its automorphism group on its vertices is transitive. A triangulation of a connected closed surface is called degree-regular if each of its vertices have the same degree. Clearly, a weakly regular triangulation is degree-regular. In [8], Lutz has classified all the weakly regular triangulations on at most 15 vertices. In [5], Datta and Nilakantan have classified all the degree-regular triangulations of closed surfaces on at most 11 vertices. In this article, we have proved that any degree-regular triangulation of the torus is weakly regular. We have shown that there exists an -vertex degree-regular triangulation of the Klein bottle if and only if is a composite number ≥ 9. We have constructed two distinct -vertex weakly regular triangulations of the torus for each ≥ 12 and a (4+2)-vertex weakly regular triangulation of the Klein bottle for each ≥ 2. For 12 ≤ ≤ 15, we have classified all the -vertex degree-regular triangulations of the torus and the Klein bottle. There are exactly 19 such triangulations, 12 of which are triangulations of the torus and remaining 7 are triangulations of the Klein bottle. Among the last 7, only one is weakly regular.
Sharpening the weak gravity conjecture with dimensional reduction
Heidenreich, Ben; Reece, Matthew; Rudelius, Tom
2016-02-01
We investigate the behavior of the Weak Gravity Conjecture (WGC) under toroidal compactification and RG flows, finding evidence that WGC bounds for single photons become weaker in the infrared. By contrast, we find that a photon satisfying the WGC will not necessarily satisfy it after toroidal compactification when black holes charged under the Kaluza-Klein photons are considered. Doing so either requires an infinite number of states of different charges to satisfy the WGC in the original theory or a restriction on allowed compactification radii. These subtleties suggest that if the Weak Gravity Conjecture is true, we must seek a stronger form of the conjecture that is robust under compactification. We propose a "Lattice Weak Gravity Conjecture" that meets this requirement: a superextremal particle should exist for every charge in the charge lattice. The perturbative heterotic string satisfies this conjecture. We also use compactification to explore the extent to which the WGC applies to axions. We argue that gravitational instanton solutions in theories of axions coupled to dilaton-like fields are analogous to extremal black holes, motivating a WGC for axions. This is further supported by a match between the instanton action and that of wrapped black branes in a higher-dimensional UV completion.
Institute of Scientific and Technical Information of China (English)
谢仁权; 龙超云; 王勤
2010-01-01
在此文中,用Klein - Gordon方程对一维时变线性势中粒子运动进行研究,并建立了对应的解析波函数.此外,分别讨论了外部场消失的解和Klein - Gordon方程的非相对论的限制.
Ghafourian, M.; Hassanabadi, H.
2016-06-01
The Shannon information entropies for the Klein-Gordon equations are evaluated for the Poschl-Teller potential, and the position-space information entropies for the ground and the excited states are calculated.
Energy Technology Data Exchange (ETDEWEB)
Schulze-Halberg, Axel [Department of Science, University of Colima, Bernal Diaz del Castillo 340, Col. Villas San Sebastian, C.P. 28045, Colima, Col. (Mexico)
2006-10-15
A form-preserving transformation for the time-dependent Klein-Gordon equation (TKGE) is derived. Existence of the transformation depends strongly on the shape of the vector and scalar potentials in the TKGE. We discuss the special case of the transformation between the TKGE and the stationary Klein-Gordon equation, which can be used to generate time-dependent solvable cases out of stationary solvable cases.
Institute of Scientific and Technical Information of China (English)
H.Hassanabadi; S.S.Hosseini; Z.Molaee
2013-01-01
We study the Klein-Gordon oscillator in commutative,noncommutative space,and phase space with psudoharmonic potential under magnetic field hence the other choice is studying the Klein-Gordon equation oscillator in the absence of magnetic field.In this work,we obtain energy spectrum and wave function in different situations by NU method so we show our results in tables.
The phase-space structure of the Klein-Gordon field
Best, C; Greiner, W
1993-01-01
The formalism based on the equal-time Wigner function of the two-point correlation function for a quantized Klein--Gordon field is presented. The notion of the gauge-invariant Wigner transform is introduced and equations for the corresponding phase-space calculus are formulated. The equations of motion governing the Wigner function of the Klein--Gordon field are derived. It is shown that they lead to a relativistic transport equation with electric and magnetic forces and quantum corrections. The governing equations are much simpler than in the fermionic case which has been treated earlier. In addition the newly developed formalism is applied towards the description of spontaneous symmetry breakdown.
A Bohmian approach to the perturbations of non-linear Klein--Gordon equation
Indian Academy of Sciences (India)
FARAMARZ RAHMANI; MEHDI GOLSHANI; MOHSEN SARBISHEI
2016-08-01
In the framework of Bohmian quantum mechanics, the Klein--Gordon equation can be seen as representing a particle with mass m which is guided by a guiding wave $\\phi(x)$ in a causal manner. Here a relevant question is whether Bohmian quantum mechanics is applicable to a non-linear Klein--Gordon equation? We examine this approach for $\\phi_{4}(x)$ and sine-Gordon potentials. It turns out that this method leads to equations for quantum states which are identical to those derived by field theoretical methods used for quantum solitons. Moreover, the quantum force exerted on the particle can be determined. This method can be used for other non-linear potentials as well.
Modification to the Klein-Nishina cross section for Ge electrons at high statistics limit
Energy Technology Data Exchange (ETDEWEB)
Wang, T.F.
1995-11-03
Modification factors for the Klein-Nishina cross-sections for gamma-ray with energies between 50 keV and 250 keV incident on Ge electrons have been obtained at the high statistics limit. In this limit, the Ge electrons can then be treated as they are obtained from the self-consistent augmented plane wave calculations, without considering the orientation of crystal lattice with respect to incident photons. The kinematics corrections (i.e. outgoing momenta), on the other hand, have to be taken into account on an event by event basis. Even so, the computing time has been reduced dramatically since the relativistic calculation of the modifications to the Klein-Nishina cross sections is the most tedious one. The modification factors are almost linear with respect to incident photon energy in the interesting energy range with respect to a given photon outgoing angle.
Klein tunnelling and electron trapping in nanometre-scale graphene quantum dots
Gutiérrez, Christopher; Brown, Lola; Kim, Cheol-Joo; Park, Jiwoong; Pasupathy, Abhay N.
2016-11-01
Relativistic fermions that are incident on a high potential barrier can pass through unimpeded, a striking phenomenon termed the `Klein paradox’ in quantum electrodynamics. Electrostatic potential barriers in graphene provide a solid-state analogue to realize this phenomenon. Here, we use scanning tunnelling microscopy to directly probe the transmission of electrons through sharp circular potential wells in graphene created by substrate engineering. We find that electrons in this geometry display quasi-bound states where the electron is trapped for a finite time before escaping via Klein tunnelling. We show that the continuum Dirac equation can be successfully used to model the energies and wavefunctions of these quasi-bound states down to atomic dimensions. We demonstrate that by tuning the geometry of the barrier it is possible to trap particular energies and angular momentum states with increased efficiency, showing that atomic-scale electrostatic potentials can be used to engineer quantum transport through graphene.
Construction of Green's Functions for the Two-Dimensional Static Klein-Gordon Equation
Institute of Scientific and Technical Information of China (English)
MELNIKOV Yu. A.
2011-01-01
In contrast to the cognate Laplace equation, for which a vast number of Green's functions is available, the field is not that developed for the static Klein-Gordon equation. The latter represents, nonetheless, a natural area for application of some of the methods that are proven productive for the Laplace equation. The perspective looks especially attractive for the methods of images and eigenfunction expansion.This study is based on our experience recently gained on the construction of Green's functions for elliptic partial differential equations. An extensive list of boundary-value problems formulated for the static Klein-Gordon equation is considered. Computerfriendly representations of their Green's functions are obtained, most of which have never been published before.
Kauffmann, Steven Kenneth
2013-01-01
The historical Klein-Gordon transformation of complex-valued first-order in time Schroedinger equations iterates these in a naively straightforward way which changes them into complex-valued second-order in time equations that have a plethora of extraneous solutions -- the transformation is an operator-calculus analogue of the squaring of both sides of an algebraic equation. The real and imaginary parts of a Schroedinger equation, however, are well known to be precisely the dynamical equation pair of the real-valued classical Hamiltonian functional which is numerically equal to the expectation value of that Schroedinger equation's Hermitian Hamiltonian operator. The purely real-valued second-order in time Euler-Lagrange equation of the corresponding classical Lagrangian functional is also isomorphic to that Schroedinger equation, and for symmetric Hamiltonians has exactly the same formal appearance as the corresponding naive complex-valued Klein-Gordon equation, but none of the latter's extraneous solutions. ...
Theories on anxiety in Freud and Melanie Klein. Their metapsychological status.
De Bianchedi, E T; Scalozub De Boschan, L; De Cortiñas, L P; De Piccolo, E G
1988-01-01
This paper presents a comparative study of the theories on anxiety formulated by Freud and Melanie Klein, with particular emphasis on the questions of its origin, its meaning for the individual and its function in both theoretical systems. The purpose of this comparative analysis is to offer an instrument which helps frame the theoretical discussions in psychoanalysis in an epistemological context. The authors hold that for Freud anxiety is considered as one more amongst the various manifestations of mental life, which his general theories try to explain, whereas for Melanie Klein anxiety and its destinies occupies a central place in her theories on mental functioning. The differences in both theories, which the authors of this paper describe, especially as to origin, function and meaning of anxiety, respond partially to the different metapsychological points of view with which both authors focus mental life--points of view which they have themselves investigated in a previous paper.
On Global attraction to solitary waves for Klein-Gordon equation with concentrated nonlinearity
Kopylova, Elena
2016-01-01
The global attraction is proved for the nonlinear 3D Klein-Gordon equation with a nonlinearity concentrated at one point. Our main result is the convergence of each "finite energy solution" to the manifold of all solitary waves as $t\\to\\pm\\infty$. This global attraction is caused by the nonlinear energy transfer from lower harmonics to the continuous spectrum and subsequent dispersion radiation. We justify this mechanism by the following strategy based on inflation of spectrum by the nonlinea...
Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations
Energy Technology Data Exchange (ETDEWEB)
Sirendaoreji [College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, Inner Mongolia (China)]. E-mail: siren@imnu.edu.cn
2007-04-09
A variable separated equation and its solutions are used to construct the exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations. The solutions previously obtained by the tanh and sech method are recovered. New and more exact travelling wave solutions including solitons, kink and anti-kink, bell and anti-bell solitary wave solutions, periodic solutions, singular solutions and exponential solutions are found.
“Sleeping beauty syndrome”: two cases of Kleine-Levin syndrome
Directory of Open Access Journals (Sweden)
Soumik Sengupta
2015-01-01
Full Text Available Two cases of Kleine-Levin syndrome (KLS, manifested in fifth and first decade of life respectively, are presented. The first case presented with episodic pattern of hyper somnolence and mood changes whereas the second case presented with hyper somnolence, behavioural and cognitive symptoms. Both of them had responded well with adequate trial of lithium. In both the cases, onset is in the extremes of their ages, which is rarely found.
Institute of Scientific and Technical Information of China (English)
2016-01-01
CALVIN KLEIN JEANS日前宣布推出以街头风格为启发并以同色系品牌logo为设计中心的全新限量系列。此次全球广告大片是由网络名人Cameron Dallas和超模StellaLucia倾情演绎，并由摄影师Jack Pierson于加利福尼亚马里布拍摄。
CALVIN KLEIN JEANS发布2009春夏系列广告
Institute of Scientific and Technical Information of China (English)
王杰（编）; Holly（译）
2009-01-01
最近．CALVIN KLEIN JEANs推出针对平面和户外的全新2009春夏广告。这一系列的广告为著名摄影师Steven MelSel的作品．其构思大胆新奇．场面华美，在户外超大广告牌上展示，视觉冲击力极强。
Institute of Scientific and Technical Information of China (English)
雨墨（译）
2006-01-01
为了进一步将品牌形象推上高峰，Calvin Klein Jeens特地制作了一个大型牛仔裤立体装置，并于中国境内各主要城市开展巡回展示。首站为上海久光户外广场，然后再转道其他城市展出。
ORBITAL INSTABILITY OF STANDING WAVES FOR THE COUPLED NONLINEAR KLEIN-GORDON EQUATIONS
Institute of Scientific and Technical Information of China (English)
Gan Zaihui; Guo Boling; Zhang Jian
2008-01-01
This paper deals with a type of standing waves for the coupled nonlin-ear Klein-Gordon equations in three space dimensions. First we construct a suitable constrained variational problem and obtain the existence of the standing waves with ground state by using variational argument. Then we prove the orbital instability of the standing waves by defining invariant sets and applying some priori estimates.
Razavi, M.; Mollai, M.; Jami, S.; Ahanj, A.
2016-09-01
The Dirac equation has been applied to fermions scattering from the downward potential step. The results show that some particles do not fall off the edge of the step and reflect. Then, based on the de Broglie-Bohm interpretation of quantum mechanics (Bohmian mechanics) and Bohmian trajectories we have resolved the problem. Lastly, a phenomenological study of the Bohmian trajectory of the Klein paradox has been discussed.
Donker, H. C.; Katsnelson, M. I.; De Raedt, H.; Michielsen, K.
2016-09-01
The logical inference approach to quantum theory, proposed earlier De Raedt et al. (2014), is considered in a relativistic setting. It is shown that the Klein-Gordon equation for a massive, charged, and spinless particle derives from the combination of the requirements that the space-time data collected by probing the particle is obtained from the most robust experiment and that on average, the classical relativistic equation of motion of a particle holds.
Superluminal solutions to the Klein-Gordon equation and a causality problem
Borghardt, A A; Karpenko, D Y
2003-01-01
We present a new axially symmetric monochromatic free-space solution to the Klein-Gordon equation propagating with a superluminal group velocity and show that it gives rise to an imaginary part of the causal propagator outside the light cone. We address the question about causality of the spacelike paths and argue that the signal with a well-defined wavefront formed by the superluminal modes would propagate in vacuum with the light speed.
Bishop-Runge approximations and inversion of a Riemann-Klein theorem
Henkin, G. M.; Michel, V.
2015-02-01
In this paper we give results about projective embeddings of Riemann surfaces, smooth or nodal, which we apply to the inverse Dirichlet-to-Neumann problem and to the inversion of a Riemann-Klein theorem. To produce useful embeddings, we adapt a technique of Bishop in the open bordered case and use a Runge-type harmonic approximation theorem in the compact case. Bibliography: 37 titles.
Generalized Klein-Gordon and Dirac Equations from Nonlocal Kinetic Approach
El-Nabulsi, Rami Ahmad
2016-09-01
In this note, I generalized the Klein-Gordon and the Dirac equations by using Suykens's nonlocal-in-time kinetic energy approach, which is motivated from Feynman's kinetic energy functional formalism where the position differences are shifted with respect to one another. I proved that these generalized equations are similar to those obtained in literature in the presence of minimal length based on the Quesne-Tkachuk algebra.
Multisymplectic implicit and explicit methods for Klein-Gordon-Schr(o)dinger equations
Institute of Scientific and Technical Information of China (English)
Cai Jia-Xiang; Yang Bin; Liang Hua
2013-01-01
We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schr(o)dinger equations.We prove that the implicit method satisfies the charge conservation law exactly.Both methods provide accurate solutions in long-time computations and simulate the soliton collision well.The numerical results show the abilities of the two methods in preserving the charge,energy,and momentum conservation laws.
Energy Technology Data Exchange (ETDEWEB)
Lim, S C [Faculty of Engineering, Multimedia University, Jalan Multimedia, Cyberjaya, 63100, Selangor Darul Ehsan (Malaysia); Teo, L P [Faculty of Information Technology, Multimedia University, Jalan Multimedia, Cyberjaya, 63100, Selangor Darul Ehsan (Malaysia)], E-mail: sclim@mmu.edu.my, E-mail: lpteo@mmu.edu.my
2008-04-11
Quartic self-interacting fractional Klein-Gordon scalar massive and massless field theories on toroidal spacetime are studied. The effective potential and topologically generated mass are determined using zeta-function regularization technique. Renormalization of these quantities are derived. Conditions for symmetry breaking are obtained analytically. Simulations are carried out to illustrate regions or values of compactified dimensions where symmetry-breaking mechanisms appear.
Exact bound state solutions of the Klein-Gordon particle in Hulthén potential
Institute of Scientific and Technical Information of China (English)
Zhang Min-Cang
2008-01-01
In this paper,the Klein-Gordon equation with the spherical symmetric Hulthén potential is turned into a hypergeometric equation and is solved in the framework of function analysis exactly.The corresponding bound state solutions are expressed in terms of the hypergeometric function,and the energy spectrum of the bound states is obtained as a solution to a given equation by boundary constraints.
Scattering State of Klein-Gordon Particles by q-Parameter Hyperbolic Poschl-Teller Potential
Directory of Open Access Journals (Sweden)
Akpan Ndem Ikot
2015-01-01
Full Text Available The one-dimensional Klein-Gordon equation for equal vector and scalar q-parameter hyperbolic Poschl-Teller potential is solved in terms of the hypergeometric functions. We calculate in detail the solutions of the scattering and bound states. By virtue of the conditions of equation of continuity of the wave functions, we obtained explicit expressions for the reflection and transmission coefficients and energy equation for the bound state solutions.
Klein瓶上的奇异地图%SINGULAR MAPS ON THE KLEIN BOTTLE
Institute of Scientific and Technical Information of China (English)
李赵祥; 刘彦佩
2002-01-01
It is well known that singular maps(I.e.,those have only one face on a surface)play a key role in the theory of up-embeddability of graphs.In this paper the number of rooted singular maps on the Klein bottle is studied.An explicit form of the enumerating function according to the root-valency and the size of the map is determined.Further,an expression of the vertex partition function is also found.
Melanie Klein, una princesa que creó su propio reino.
Directory of Open Access Journals (Sweden)
Antonio Sánchez-Barranco Ruiz
2004-01-01
Full Text Available Las formulaciones kleinianas no pueden ser encuadradas como un mero desarrollo del psicoanálisis freudiano, dado que suponen cambios radicales en su metapsicología, núcleo intocable del sistema. En todo caso, Melanie Klein merece un lugar de privilegio entre las mujeres pioneras que aportaron ideas originales a la psicología del inconsciente y aunque siempre se autoconsideró una fiel seguidora de Freud, terminó desarrollando su propio reino.
Misreading the Body:E. T. A. Hoffmann's Klein Zaches, genannt Zinnober
Joshua, Eleoma
2010-01-01
In his tale Klein Zaches, genannt Zinnober (1819) German Romantic writer E. T. A. Hoffmann demonstrates that the relationship between the body and its identity cannot be accurately detected by the person viewing the body because perspective is always coloured by powerful viewing practices that have cultural, social, and ideological origins. His narrative uses the example of the deformed body to show that especially if the body challenges the norms, it contests the readings that the viewer imp...
Deep-water sponges (Porifera) from Bonaire and Klein Curaçao, Southern Caribbean.
Van Soest, Rob W M; Meesters, Erik H W G; Becking, Leontine E
2014-10-29
Four submersible dives off the coast of Bonaire (Caribbean Netherlands) and Klein Curaçao (Curaçao) to depths of 99.5-242 m, covering lower mesophotic and upper dysphotic zones, yielded 52 sponge specimens belonging to 31 species. Among these we identified 13 species as new to science. These are Plakinastrella stinapa n. sp., Pachastrella pacoi n. sp., Characella pachastrelloides n. sp., Geodia curacaoensis n. sp., Caminus carmabi n. sp., Discodermia adhaerens n. sp., Clathria (Microciona) acarnoides n. sp., Antho (Acarnia) pellita n. sp., Parahigginsia strongylifera n. sp., Calyx magnoculata n. sp., Neopetrosia dutchi n. sp., Neopetrosia ovata n. sp. and Neopetrosia eurystomata n. sp. We also report an euretid hexactinellid, which belongs to the rare genus Verrucocoeloidea, recently described (2014) as V. liberatorii Reiswig & Dohrmann. The remaining 18 already known species are all illustrated by photos of the habit, either in situ or 'on deck', but only briefly characterized in an annotated table to confirm their occurrence in the Southern Caribbean. The habitat investigated-steep limestone rocks, likely representing Pleistocene fossil reefs--is similar to deep-water fossil reefs at Barbados of which the sponges were sampled and studied by Van Soest and Stentoft (1988). A comparison is made between the two localities, showing a high degree of similarity in sponge composition: 53% of the present Bonaire-Klein Curaçao species were also retrieved at Barbados. At the level of higher taxa (genera, families) Bonaire-Klein Curaçao shared approximately 80% of its lower mesophotic and upper dysphotic sponge fauna with Barbados, despite a distance between them of 1000 km, indicating high faunal homogeneity. We also preliminarily compared the shallow-water (euphotic) sponge fauna of Curaçao with the combined data available for the Barbados, Bonaire and Klein Curaçao mesophotic and upper dysphotic sponges, which resulted in the conclusion that the two faunas show only
Fast magnetic and electric dynamos in flat Klein bottle plasma flows
de Andrade, L C Garcia
2009-01-01
Recently Shukurov et al [Phys Rev \\textbf{E} (2008)] presented a numerical solution of a Moebius strip dynamo flow, to investigate its use in modelling dynamo flows in Perm torus of liquid sodium dynamo experiments. Here, by analogy one presents an electric dynamo on a twisted torus or Klein bottle topology. An exact solution in the form of flat Klein bottle dynamo flow is obtained. It is shown that even in the absence of magnetic dynamos initial electric fields can be amplified in distinct points of the Klein bottle. In this case diffusion is taken as ${\\eta}\\approx{5.0{\\times}10^{-3}{\\Omega}-m}$ the electric potential is obtained. The difference of electric fields at the beginning of plasma flow profile is ${\\Delta}E_{Dyn}\\approx{468\\frac{V}{m}}$, which is stronger than the electric dynamo field obtained in the magnetic axis of spheromaks, which is of the order of $E_{Dyn}\\approx{200\\frac{V}{m}}$. The potential of the dynamo at the surface of the Earth computed by Boozer [Phys Fluids \\textbf{B} (1993)] of $...
The Einstein-Klein-Gordon Equations, Wave Dark Matter, and the Tully-Fisher Relation
Goetz, Andrew S
2015-01-01
We examine the Einstein equation coupled to the Klein-Gordon equation for a complex-valued scalar field. These two equations together are known as the Einstein-Klein-Gordon system. In the low-field, non-relativistic limit, the Einstein-Klein-Gordon system reduces to the Poisson-Schr\\"odinger system. We describe the simplest solutions of these systems in spherical symmetry, the spherically symmetric static states, and some scaling properties they obey. We also describe some approximate analytic solutions for these states. The EKG system underlies a theory of wave dark matter, also known as scalar field dark matter (SFDM), boson star dark matter, and Bose-Einstein condensate (BEC) dark matter. We discuss a possible connection between the theory of wave dark matter and the baryonic Tully-Fisher relation, which is a scaling relation observed to hold for disk galaxies in the universe across many decades in mass. We show how fixing boundary conditions at the edge of the spherically symmetric static states implies T...
The Struggle of Integration: James Baldwin and Melanie Klein in the Context of Black Lives Matter
Directory of Open Access Journals (Sweden)
David W McIvor
2016-12-01
Full Text Available Recent killings of unarmed black citizens are a fresh reminder of the troubled state of racial integration in the United States. At the same time, the unfolding Black Lives Matter protest movements and the responses by federal agencies each testify to a not insignificant capacity for addressing social pathologies surrounding the color line. In order to respond to this ambivalent situation, this article suggests a pairing between the work of James Baldwin and that of the psychoanalyst Melanie Klein. I will argue that we cannot fully appreciate the depths of what Baldwin called the “savage paradox” of race without the insights provided by Klein and object relations psychoanalysis. Conversely, Baldwin helps us to sound out the political significance of object relations approaches, including the work of Klein and those influenced by her such as Hanna Segal and Wilfred Bion. In conversation with the work of Baldwin, object relations theory can help to identify particular social settings and institutions that might allow concrete efforts toward racial justice to take root.
The life and work of Melanie Klein in the British Psycho-Analytical Society.
King, P H
1983-01-01
This paper describes certain aspects of the life and work of Melanie Klein in the British Psycho-Analytical Society. It attempts to highlight the reciprocity of the relationship between Melanie Klein and other members of that Society by showing how the climate of psychoanalytical opinion that was prevalent among members of that Society during the first decade of her stay in London, and which encouraged discussion of clinical work and interest in psychoanalytical discovery, provided a congenial setting for her to become firmly established as an active member of the British Society and to continue her contributions to psychoanalytic theory and clinical expertise. The paper also traces the development of Melanie Klein's main theoretical contributions, together with relevant criticisms of them as they emerged, against the background of the history of the British Psycho-Analytical Society. It describes the controversies that arose as to whether or not her ideas could properly be viewed within the framework of psychoanalytic theory, as formulated by Freud, and the attempted resolution of these controversies, together with some comments on the repercussions of these theoretical disagreements on relationships within the Society. An extensive list of references is included to facilitate a more detailed study of the subject.
The "new" democratic woman of modernity: Georgia O'Keeffe and Melanie Klein.
Gadt, J C
1994-06-01
O'Keeffe put into visual language the psychic splitting that had occurred between the sexes in the United States, attempting to integrate what had formerly been separated as feminine and masculine into the female psyche. In her most important contribution, she explored presence rather than absence and opened up possibilities for thinking about openings. The concept of the female opening in particular had heretofore been assigned a negative meaning, signifying more often than not a gaping wound rather than a space and place of possibilities. Klein's complex and evocative understanding of some of the earliest mental processes of life enabled researchers to delve into the meanings made of the presence of the mother and father and baby, in the context of the baby's body-mind. Klein's female or male baby desires to know from the beginning. She discovered splitting and projective identification, the development of anxiety and guilt under the aegis of these mental processes, the multiple meanings of aggression, and, significantly, she permitted the female baby's body to have its own language. The answers provided by O'Keeffe and Klein bequeathed new possibilities for women's self-invention and remain pivot points for female identity throughout the century, to be confronted again by the second wave of feminism beginning in the late 1960s, by "postfeminist" debates, and by a challenged psychoanalysis. A more careful probing of these issues may help us to better understand our past so as to have greater resources for a more comprehensive reading of our present.
Encinas, A. H.; Gayoso-Martínez, V.; Martín Del Rey, A.; Martín-Vaquero, J.; Queiruga-Dios, A.
2016-03-01
In this paper, we discuss the problem of solving nonlinear Klein-Gordon equations (KGEs), which are especially useful to model nonlinear phenomena. In order to obtain more exact solutions, we have derived different fourth- and sixth-order, stable explicit and implicit finite difference schemes for some of the best known nonlinear KGEs. These new higher-order methods allow a reduction in the number of nodes, which is necessary to solve multi-dimensional KGEs. Moreover, we describe how higher-order stable algorithms can be constructed in a similar way following the proposed procedures. For the considered equations, the stability and consistency of the proposed schemes are studied under certain smoothness conditions of the solutions. In addition to that, we present experimental results obtained from numerical methods that illustrate the efficiency of the new algorithms, their stability, and their convergence rate.
Institute of Scientific and Technical Information of China (English)
陆法林; 陈红霞; 陈昌远
2005-01-01
用分离变量方法讨论了在一般Hartmann标量势和矢量势相等条件下Klein-Gordon方程的束缚态解.体系的性质与三个量子数及一般Hartmann势的势参数有关.给出了用广义连带勒让德多项式表示的归一化角向波函数和用合流超几何函数表示的归一化径向波函数,获得了精确的束缚态能谱方程.氢原子势、类氢原子势和Hartmann势是本文一般Hartmann势的三个特例.
Directory of Open Access Journals (Sweden)
Luís Pereira Justo
2007-03-01
Full Text Available We report the first episode of Kleine-Levin (KLS syndrome in a 17-year-old male. The illness onset, clinical features, neuropsychological evaluation and polysomnographic recording are described. Typical symptoms hypersomnia, hyperphagia and sexual disinhibition were observed besides behavioral disturbances, polysonographic and neuropsychological alterations. Behavioral disturbances similar to a manic episode including psychotic symptoms were relevant. The pharmacologic treatment included lithium, methylphenidate and risperidone. The introduction of risperidone aimed the control of psychotic symptoms and the persistent manifestations of hypersexuality after sleepness control and to the best of our knowledge there are no other report regarding risperidone use for KLS in the literature.Relatamos o primeiro episódio de síndrome de Kleine-Levin (SKL num adolescente de 17 anos. São descritos o modo de aparecimento da doença, achados clínicos, avaliação neuropsicológica e polissonografia. Foram observados sintomas típicos como hipersonolência, hiperfagia e desinibição sexual, e outras alterações comportamentais, polissonográficas e neuropsicológicas. As alterações comportamentais assemelhadas a um episódio de mania, incluindo sintomas psicóticos, foram relevantes. O tratamento farmacológico incluiu lítio, metilfenidato e risperidona. A introdução de risperidona teve por objetivo o controle dos sintomas psicóticos e das persistentes manifestações da hipersexualidade, que permaneceram após diminuição da sonolência; não temos conhecimento de relatos anteriores, na literatura, de seu uso no tratamento da SKL.
Water resources in the Klein Karoo: the challenge of sustainable development in a water-scarce area
Directory of Open Access Journals (Sweden)
Ashton Maherry
2009-12-01
Full Text Available The Klein Karoo is situated in the Western Cape, South Africa, and is characterised by low rainfall (100–450 mm yr^{–1}. The Klein Karoo is situated in the primary catchment of the Gouritz River. The mean annual runoff (MAR for the three major tributaries of the Gouritz River arising in or feeding the Klein Karoo (Touws, Gamka, Olifants is 540 Mm^{3} yr^{–1}. Groundwater recharge in the three Klein Karoo catchments is ±257 Mm^{3} yr^{–1}, but only a portion of this reaches the rivers. The very variable flows result in low 1:50 year yield of 161 Mm^{3} (30% of MAR. The current demand for water in these catchments is 182 Mm^{3} yr^{–1}, which exceeds the yield, and demand is projected to increase between 23% and 150% by 2025. Changes in the approach to water management are required, including improving the efficiency of irrigation and land restoration to improve water infiltration and reduce soil erosion. We believe that it is time to change to a water management approach that is designed to anticipate and manage the inherent variability in water resources in the Klein Karoo, thereby placing the region on a path to sustainable development.
Feeling unreal: a functional imaging study in patients with Kleine-Levin syndrome.
Kas, Aurelie; Lavault, Sophie; Habert, Marie-Odile; Arnulf, Isabelle
2014-07-01
Kleine-Levin syndrome is characterized by relapsing-remitting episodes of severe hypersomnia, cognitive impairment, apathy, derealization and behavioural disturbances. Between episodes, patients have normal sleep, mood and behaviour. Functional imaging studies performed in small series of patients with Kleine-Levin syndrome with visual or semi-quantitative, uncontrolled analysis yielded equivocal brain changes. Using whole brain voxel-based group analysis, we compared brain perfusion scintigraphy during and between episodes in consecutive patients with Kleine-Levin syndrome versus healthy control subjects and correlated perfusion changes with disease severity and symptoms, focusing on less studied but disabling symptoms, such as apathy and derealization. During asymptomatic periods, 41 patients (mean age of 22.3 ± 8.1 years, 56.1% male) and 15 age- and sex-matched healthy control subjects underwent single-photon emission computed tomography scanning with technetium-99m ethyl cysteinate dimer. Eleven patients repeated the test during a symptomatic period. Compared with controls, patients during asymptomatic periods had persistent hypoperfusion in the hypothalamus, the thalamus (mainly the right posterior part), the caudate nucleus, and cortical associative areas, including the anterior cingulate, (Brodmann area 25), the orbito-frontal (Brodmann area 11) and the right superior temporal cortices (Brodmann area 22), extending to the insula (P visual information, the robust hypoperfusions and correlations observed in this area may underlie the striking derealization reported by patients during episodes. Defects in the dorsomedial prefrontal cortex may cause apathy. Persistent hypoperfusion in the diencephalic and associative cortical area during asymptomatic periods is a marker of the disease, suggestive of a scenario wherein patients compensate for these deficient circuitries. © The Author (2014). Published by Oxford University Press on behalf of the Guarantors of
THE LONG-TIME BEHAVIOR OF SPECTRAL APPROXIMATE FOR KLEIN-GORDON-SCHROEDINGER EQUATIONS
Institute of Scientific and Technical Information of China (English)
Xin-minXiang
2004-01-01
Klein-Gordon-Schroedinger (KGS) equations are very important in physics. Some papers studied their well-posedness and numerical solution [1-4], and another works investigated the existence of global attractor in Rn and Ω包含于Rn (n≤3) [5-6,11-12]. In this paper, we discuss the dynamical behavior when we apply spectral method to find numerical approximation for periodic initial value problem of KGS equations. It includes the existence of approximate attractor AN, the upper semi-continuity on A which is a global attractor of initial problem and the upper bounds of Hausdorff and fractal dimensions for A and AN,etc.
Partial Internal Control Recovery on 1-D Klein-Gordon Systems
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Iwan Pranoto
2010-03-01
Full Text Available In this exposition, a technique to recover internal control on a distributed parameter system is reported. The system is described by 1-D Klein-Gordon partial differential equation with a time-varying parameter. We would like to recover the internal control applied to the system if we know some limited information about the output. We use a method called sentinel method to recover the internal control. It involves some construction of a linear functional, and we show that this construction relates closely to the exact controllability problem.
Kleine-Levine syndrome in an adolescent female and response to modafinil
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Aggarwal Ashish
2011-01-01
Full Text Available Kleine-Levine Syndrome (KLS is a disorder characterized by a triad of periodic hypersomnia, hyperphagia, and hypersexuality. KLS, although more common in young males, it has also been seen in females. Treatment options available for its management include mood stabilisers like lithium, stimulants like amphetamines, antidepressants and other options including electroconvulsive therapy. Modafinil is one of the new stimulant medications approved for narcolepsy. Herein, we report a young female with KLS and showing favorable response to modafinil. More data is required to establish the effectiveness of modafinil in this syndrome.
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Thoudam Roshan
2016-10-01
Full Text Available Numerical solutions of the coupled Klein-Gordon-Schrödinger equations is obtained by using differential quadrature methods based on polynomials and quintic B-spline functions for space discretization and Runge-Kutta fourth order for time discretization. Stability of the schemes are studied using matrix stability analysis. The accuracy and efficiency of the methods are shown by conducting some numerical experiments on test problems. The motion of single soliton and interaction of two solitons are simulated by the proposed methods.
Classical Field-Theoretical approach to the non-linear q-Klein-Gordon Equation
Plastino, A
2016-01-01
In the wake of efforts made in [EPL {\\bf 97}, 41001 (2012)], we extend them here by developing a classical field theory (FT)to the q-Klein-Gordon equation advanced in [Phys. Rev. Lett. {\\bf 106}, 140601 (2011)]. This makes it possible to generate a hipotetical conjecture regarding black matter. We also develop the classical field theory for a q-Schrodinger equation, different from the one in [EPL {\\bf 97}, 41001 (2012)], that was deduced in [Phys. Lett. A {\\bf 379}, 2690 (2015)] from the hypergeometric differential equation. Our two classical theories reduce to the usual quantum FT for $q\\rightarrow 1$.
Klein-Gordon Equation with Coulomb Potential in the Presence of a Minimal Length
Bouaziz, Djamil
2013-01-01
We study the Klein-Gordon equation for Coulomb potential, V(r)=(-Ze^{2})/r, in quantum mechanics with a minimal length. The zero energy solution is obtained analytically in momentum space in terms of Heun's functions. The asymptotic behavior of the solution shows that the presence of a minimal length regularize the potential in the strong attractive regime, Z>68. The equation with nonzero energy is established in a particular case in the first order of the deformation parameter; it is a generalized Heun's equation.
Unstable Mode Solutions to the Klein-Gordon Equation in Kerr-anti-de Sitter Spacetimes
Dold, Dominic
2017-03-01
For any cosmological constant {Λ = -3/ℓ2 |a|ℓ}. We obtain an analogous result for Neumann boundary conditions if {5/4 < α < 9/4}. Moreover, in the Dirichlet case, one can prove that, for any Kerr-AdS spacetime violating the Hawking-Reall bound, there exists an open family of masses {α} such that the corresponding Klein-Gordon equation permits exponentially growing mode solutions. Our result adopts methods of Shlapentokh-Rothman developed in (Commun. Math. Phys. 329:859-891, 2014) and provides the first rigorous construction of a superradiant instability for negative cosmological constant.
Covariant anomalies and Hawking radiation from Kaluza–Klein AdS black holes
Indian Academy of Sciences (India)
Chuan-Yi Bai
2013-02-01
In this paper, Hawking radiation is studied from four-dimensional (4D) Kaluza–Klein (KK) AdS black holes via the method of anomaly cancellation. The {|bf KK-AdS} black hole considered is a non-extremal charged rotating solution in the theory of 4D gauged supergravity. Its Hawking fluxes of electric charge, angular momentum and energy momentum tensor are derived here. Our results support the common view that Hawking radiation is the quantum effect arising at the event horizon.
Kleine-Levin and Munchausen syndromes in a patient with recurrent acromegaly.
Jungheim, K; Badenhoop, K; Ottmann, O G; Usadel, K H
1999-02-01
Hypothalamic disease often affects the patients' personality and this also applies to pituitary tumors with suprasellar extension. We report on a patient with a 12-year history of recurrent acromegaly, treated with three transphenoidal operations, single field radiation therapy and bromocriptine/octreotide administration. During the course of follow-up she presented with self-inflicted anemia and Kleine-Levin syndrome (hypersomnia, hyperphagia and hypersexuality). Furthermore, she developed post-radiation necrosis within the right temporal lobe. Whether her neurological and personality disorders result - at least partially - from the acromegaly or the temporal lobe necrosis remains unclear.
Facts, theories and ideologies: Viola Klein and Sociology of Scientific Knowledge
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Eulalia Pérez Sedeño
2012-07-01
Full Text Available Several studies on history, philosophy and sociology of science have demonstrated that science is not autonomous and value-neutral and its selfless search of truth is an ideal theoretical myth far from the real practice of science, which is an aggregate of social practices. Viola Klein was a pioneer in studying science using the same instruments and categories utilized in any other social practice. The aim of this work is to highlight her contributions to Sociology of Scientific Knowledge at a moment when this discipline was, at the most, incipient.
Standing Waves of the Inhomogeneous Klein-Gordon Equations with Critical Exponent
Institute of Scientific and Technical Information of China (English)
Zai Hui GAN; Jian ZHANG
2006-01-01
This paper is concerned with the standing wave in the inhomogeneous nonlinear Klein-Gordon equations with critical exponent. Firstly, we obtain the existence of standing waves associated with the ground states by using variational calculus as well as a compactness lemma. Next, we establish some sharp conditions for global existence in terms of the characteristics of the ground state. Then,we show that how small the initial data are for the global solutions to exist. Finally, we prove the instability of the standing wave by combining the former results.
Unstable mode solutions to the Klein-Gordon equation in Kerr-anti-de Sitter spacetimes
Dold, Dominic
2015-01-01
For any cosmological constant $\\Lambda=-3/\\ell^2|a|\\ell$. We obtain an analogous result for Neumann boundary conditions if $5/4<\\alpha<9/4$. Moreover, in the Dirichlet case, one can prove that, for any Kerr-AdS spacetime violating the Hawking-Reall bound, there exists an open family of masses $\\alpha$ such that the corresponding Klein-Gordon equation permits exponentially growing mode solutions. Our result adopts methods of Shlapentokh-Rothman (see http://arxiv.org/abs/1302.3448) and provides the first rigorous construction of a superradiant instability for negative cosmological constant.
Dispersion estimates for one-dimensional Schrödinger and Klein-Gordon equations revisited
Egorova, I. E.; Kopylova, E. A.; Marchenko, V. A.; Teschl, G.
2016-06-01
It is shown that for a one-dimensional Schrödinger operator with a potential whose first moment is integrable the elements of the scattering matrix are in the unital Wiener algebra of functions with integrable Fourier transforms. This is then used to derive dispersion estimates for solutions of the associated Schrödinger and Klein-Gordon equations. In particular, the additional decay conditions are removed in the case where a resonance is present at the edge of the continuous spectrum. Bibliography: 29 titles.
ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA
Institute of Scientific and Technical Information of China (English)
Wu Haigen; Zhang Junyong
2012-01-01
In this paper,we study the decay estimate and scattering theory for the Klein-Gordon-Hartree equation with radial data in space dimension d ≥ 3.By means of a compactness strategy and two Morawetz-type estimates which come from the linear and nonlinear parts of the equation,respectively,we obtain the corresponding theory for energy subcritical and critical cases.The exponent range of the decay estimates is extended to 0 ＜ γ ≤ 4 and γ＜ d with Hartree potential V(x) =|x|-γ.
Compact-like discrete breather and its stability in a discrete monatomic Klein-Gordon chain
Institute of Scientific and Technical Information of China (English)
Xu Quan; Tian Qiang
2008-01-01
This paper studies a discrete one-dimensional monatomie Klein-Gordon chain with only quartic nearest-neighbour interactions, in which the compact-like discrete breathers can be explicitly constructed by an exact separation of their time and space dependence. Introducing the trying method, it proves that compact-like discrete breathers exist in this nonlinear system. It also discusses the linear stability of the compact-like discrete breathers, when the coefficient (β)of quartic on-site potential and the coupling constant (K4) of quartic interactive potential satisfy the given conditions,they are linearly stable.
Ikhdair, Sameer M
2012-01-01
We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjects to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO and harmonic oscillator solutions in the existence and absence of external fields are also obtained.
Analytical solution of the Klein Gordon equation for a quadratic exponential-type potential
Ezzatpour, Somayyeh; Akbarieh, Amin Rezaei
2016-07-01
In this research study, analytical solutions of the Klein Gordon equation by considering the potential as a quadratic exponential will be presented. However, the potential is assumed to be within the framework of an approximation for the centrifugal potential in any state. The Nikiforov-Uvarov method is used to calculate the wave function, as well as corresponding exact energy equation, in bound states. We finally concluded that the quadratic exponential-type potential under which the results were deduced, led to outcomes that were comparable to the results obtained from the well-known potentials in some special cases.
Coincidence Properties for Maps from the Torus to the Klein Bottle
Institute of Scientific and Technical Information of China (English)
Daciberg L. GON(C)ALVES; Michael R. KELLY
2008-01-01
The authors study the coincidence theory for pairs of maps from the Torus to the Klein bottle. Reidemeister classes and the Nielsen number are computed, and it is shown that any given pair of maps satisfies the Wecken property. The 1-parameter Wecken property is studied and a partial negative answer is derived. That is for all pairs of coincidence free maps a countable family of pairs of maps in the homotopy class is constructed such that no two members may be joined by a coincidence free homotopy.
Melanie Klein, una princesa que creó su propio reino
Antonio Sánchez-Barranco Ruiz; Reyes Vallejo Orellana
2004-01-01
Las formulaciones kleinianas no pueden ser encuadradas como un mero desarrollo del psicoanálisis freudiano, dado que suponen cambios radicales en su metapsicología, núcleo intocable del sistema. En todo caso, Melanie Klein merece un lugar de privilegio entre las mujeres pioneras que aportaron ideas originales a la psicología del inconsciente y aunque siempre se autoconsideró una fiel seguidora de Freud, terminó desarrollando su propio reino. Melanie Klein’s formulations should not be frame...
Institute of Scientific and Technical Information of China (English)
张民仓
2009-01-01
用Heaviside函数构造出一维对称的Hulthen势垒,求解了其满足的Klein-Gordon方程.散射态的精确解可以由超几何函数表示,透射系数T和反射系数R能由Klein-Gordon方程满足的边界条件得到.并由流密度守恒推导出低动量粒子发生透射共振的条件.
Teleparallel Gravity in Five Dimensional Theories
Geng, Chao-Qiang; Tseng, Huan-Hsin
2014-01-01
We study teleparallel gravity in five-dimensional space-time with particular discussions on Kaluza-Klein (KK) and braneworld theories. We directly perform the dimensional reduction by differential forms. In the braneworld theory, the teleparallel gravity formalism in the Friedmann-Lema\\^{i}tre-Robertson-Walker cosmology is equivalent to GR due to the same Friedmann equation, whereas in the KK case the reduction of our formulation does not recover the effect as GR of 4-dimensional spacetime.
Jamal, Sameerah
In this paper, we study the geometric properties of generators for the Klein-Gordon equation on classes of space-time homogeneous Gödel-type metrics. Our analysis complements the study involving the “Symmetries of geodesic motion in Gödel-type spacetimes” by U. Camci (J. Cosmol. Astropart. Phys., doi:10.1088/1475-7516/2014/07/002). These symmetries or Killing vectors (KVs) are used to construct potential functions admitted by the Klein-Gordon equation. The criteria for the potential function originates from three primary sources, viz. through generators that are identically the Killing algebra, or with the KV fields that are recast into linear combinations and third, real subalgebras within the Killing algebra. This leads to a classification of the (1 + 3) Klein-Gordon equation according to the catalogue of infinitesimal Lie and Noether point symmetries admitted. A comprehensive list of group invariant functions is provided and their application to analytic solutions is discussed.
Shlapentokh-Rothman, Yakov
2013-01-01
For any sub-extremal Kerr spacetime with non-zero angular momentum, we find an open family of non-zero masses for which there exist smooth, finite energy, and exponentially growing solutions to the corresponding Klein-Gordon equation. If desired, for any non-zero integer m, an exponentially growing solution can be found with mass arbitrarily close to |am|/2Mr_+. In addition to its direct relevance for the stability of Kerr as a solution to the Einstein-Klein-Gordon system, our result provides the first rigorous construction of a superradiant instability. Finally, we note that this linear instability for the Klein-Gordon equation contrasts strongly with recent work establishing linear stability for the wave equation.
Institute of Scientific and Technical Information of China (English)
张学骜; 陈柯; 段正路
2005-01-01
Solving the Klein-Gordon equation and Dirac equation with ring-shaped non-spherical oscillator gives the exact bound state wavefunction and energy equation, and the relations between non-relativistic Schrodinger equation, KleinGordon equation and Dirac equation with equal scalar and vector potentials.
Institute of Scientific and Technical Information of China (English)
Sami Ortakaya
2012-01-01
We present exact solutions for the Klein-Gordon equation with a ring-shaped oscillator potential.The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential.The angular functions are expressed in terms of the hypergeometric functions.The radial eigenfunctions have been obtained by using the Laplace integral transform.By means of the Laplace transform method,which is efficient and simple,the radial Klein-Gordon equation is reduced to a first-order differential equation.
A stability analysis of a real space split operator method for the Klein-Gordon equation
Blumenthal, Frederick; Bauke, Heiko
2012-01-01
We carry out a stability analysis for the real space split operator method for the propagation of the time-dependent Klein-Gordon equation that has been proposed in Ruf et al. [M. Ruf, H. Bauke, C.H. Keitel, A real space split operator method for the Klein-Gordon equation, Journal of Computational Physics 228 (24) (2009) 9092-9106, doi:10.1016/j.jcp.2009.09.012]. The region of algebraic stability is determined analytically by means of a von-Neumann stability analysis for systems with homogeneous scalar and vector potentials. Algebraic stability implies convergence of the real space split operator method for smooth absolutely integrable initial conditions. In the limit of small spatial grid spacings h in each of the d spatial dimensions and small temporal steps τ, the stability condition becomes h/τ>√{d}c for second order finite differences and √{3}h/(2τ)>√{d}c for fourth order finite differences, respectively, with c denoting the speed of light. Furthermore, we demonstrate numerically that the stability region for systems with inhomogeneous potentials coincides almost with the region of algebraic stability for homogeneous potentials.
Konkowski, Deborah A.; Arndt, Valerie; Helliwell, Thomas M.
2002-04-01
Klein-Gordon, Maxwell and Dirac fields are studied in quasiregular spacetimes, spacetimes with a classical quasiregular singularity, the mildest true classical singularity [G.F.R. Ellis and B.G. Schmidt, Gen. Rel. Grav.8, 915 (1977)]. A class of static quasiregular spacetimes possessing disclinations and dislocations [R.A. Puntigam and H.H. Soleng, Class. Quantum Grav. 14, 1129 (1997)] is shown to have field operators which are not essentially self-adjoint. This class of spacetimes includes an idealized cosmic string, i.e., a four-dimensional spacetime with a conical singularity [L.H. Ford and A. Vilenkin, J. Phys. A: Math. Gen. 14, 2353 (1981)], and a Galtsov/Letelier/Tod spacetime featuring a screw dislocation [K.P. Tod, Class. Quantum Grav. 11, 1331 (1994); D.V. Galtsov and P.S. Letelier, Phys. Rev. D47, 4273 (1993)]. The definition of G. T. Horowitz and D. Marolf [Phys. Rev. D52, 5670 (1995)] for a quantum-mechanically singular spacetime as one in which the spatial-derivative operator in the Klein-Gordon equation for a massive scalar field is not essentially self-adjoint is extended in the case of quasiregular spacetimes to include Maxwell and Dirac fields. Therefore, the class of static quasiregular spacetimes under consideration is quantum-mechanically singular independent of the type of test field.
Emanuel Edward Klein, a diligent and industrious plodder or the father of British microbiology
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Bruno Atalić
2010-08-01
Full Text Available Emanuel Edward Klein (Osijek, 1844 - Hove, 1925 was a Britishmicrobiologist of Croatian origin. He completed his medical studies in Vienna in 1869. In 1869 he was sent to England to determine terms for the translation of Samuel Stricker’s manual Handbuch von den Geweben des Menchen und der Tiere. During his visit he made a good impression on John Burdon Sanderson and John Simon, which was the main reason why he was invited to London in 1871 to conduct investigations under their guidance. In 1873 Klein began his collaboration with the Saint Bartholomew‘s Hospital, where he was appointed as a Joint Professor of General Anatomy and Physiology. His researches were in the fields of anatomy, histology, pathology, embryology, physiology, and especially microbiology. He did a great deal to its development in Britain. He has written about 260 scientific papers on a broad range of different topics. Despite all the aforementioned facts, his work was never properly studied, and he is almost unknown outside academic circles. For that reason, attitudes towards him still range between the extremes of calling him the father of British microbiology on one side, and attributing him as a diligent and idustrious plodder on the other. In this paper we will try to prove the first attitude. We will put his researches in a general context. Finally we will highlight his original achievements in the isolation of new microbes.
[Kleine-Levin syndrome: differential diagnosis in recurrent encephalitic syndromes in adolescence].
Duat-Rodriguez, A; Martinez-Albadalejo, I; Perez-Sebastian, I; Cantarin-Extremera, V; Hedrera-Fernandez, A; Garcia-Penas, J J
2017-04-01
Introduccion. El sindrome de Kleine-Levin es una enfermedad rara de causa desconocida que se caracteriza por episodios recurrentes autolimitados de hipersomnia acompañados de alteracion cognitiva y conductual. Entre los episodios, los pacientes tienen un patron de sueño y cognitivo normal. Casos clinicos. Se presentan tres pacientes de 14 años, dos chicos y una chica. Comenzaron tras un desencadenante (vacuna, una infeccion respiratoria por influenza B; en el caso de la chica, coincidian con la menstruacion). En el episodio agudo mostraban tendencia al sueño y en vigilia destacaba bradipsiquia, inquietud motora y gran labilidad emocional, con tendencia al llanto y necesidad de la presencia de los familiares. Presentaron una duracion aproximada de 10-15 dias y periodicidad mensual, y se mostraron asintomaticos entre los episodios. Los tres pacientes fueron valorados por pediatras, diagnosticados y tratados de encefalitis autoinmune. Solo uno cumplia la triada tipica de hipersomnia, hiperfagia e hipersexualidad, pero ninguno de los tres datos se habia recogido en la historia clinica inicial y la familia solo lo referia tras una anamnesis dirigida. Conclusiones. En el sindrome de Kleine-Levin, los sintomas neurologicos durante el cuadro agudo son aun mas frecuentes que los psiquiatricos. La tendencia al sueño y el hecho de que durante la vigilia no esten asintomaticos y se muestren lentos, apaticos, labiles e irascibles, situa en primer lugar la sospecha de sindrome encefalitico. Debemos tener presente esta entidad en encefalitis recurrentes de etiologia no filiada.
Revisiting of etiology, clinical picture and diagnosis of the Kleine-Levin syndrome.
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Ulyanova О.V.
2017-03-01
Full Text Available Objective: to draw the attention to the Kleine - Levin syndrome (SKL, a rare, poorly understood disease, not only in Russia but throughout the world. We analyzed the case of the 23-year old patient M, with the Kleine — Levin syndrome. SKL belongs to the group of recurrent hypersomnia and is characterized by long bouts of sleep lasting an average of 10-14 days, beginning with the imperative and difficulty awakening. During bouts of sleep observed unusual behavior of patients: hyperphagia; hypersexuality in males; irritability, restlessness, impaired mental activity; aggression; feeling of unreality of it all; confusion, hallucinatory episodes and depression in females. During wakefulness, marked dyspho-ria, emotional stupefaction, loss of memory. The syndrome develops in 4 times more often in men than in women, aged 12-25 years. Etiological factors: brain tumor, head trauma, metabolic disorders, acute infectious diseases with fever. Often the development of the syndrome is preceded by hyperemia and hypothalamic-pituitary dysfunction. The article discussed the etiology, diagnosis, and possible combinations of clinical manifestations in SKL.
Klein and Lacan meet 21st century schizoid man: fairy stories for the modern era.
Charles, Marilyn
2014-09-01
Melanie Klein invited us into the phenomenology of the schizoid dilemma through her depictions of the paranoid-schizoid position. By inserting his recursive arrows, Bion extended this conceptualization, showing us the folly of believing that we can ever entirely move beyond the frightening fantasies and realities of social exclusion and isolation. The 21st century has brought, along with the explosion of technology, an expulsion from the social order of many children who have found refuge from isolation and humiliation in the more accessible and less terrifying world of media and technological invention. What may look like narcissism can mask a terrible underlying schizoid failure to enter into the human race. This is the realm of fantasy run amok, where desire becomes alien and alienated such that one is haunted and hunted down by its very possibility. In this universe, conceptualizations from Klein, Bion, and Lacan help us to locate the individual who has become caught in a massive psychic retreat such that there is no subject because there are no objects. To illustrate, I describe my work with a young man who is living in a terrible "zombie zone" where people are not real and therefore are incomprehensible and terribly dangerous. The poignancy of his dilemma is heartbreaking. Perhaps that is one lesson we can still take from our old fairy tales: when one's heart can be broken by another's plight, then comes the possibility of a healing, an entry through that piercing of what had been impenetrable.
Institute of Scientific and Technical Information of China (English)
2016-01-01
CK的手表产品系列定位非常精准，是斯沃琪集团旗下销量非常惊人的时尚表。与CalvinKlein的服装设计理念相同，CK手表通过简洁的线条和立体结构营造尤其适合都市生活的摩登感觉，从核心中传达出美式大都会风格的自由气质。
Blitterswijk, van H.; Stumpel, A.H.P.; Vliet, van C.J.M.
2003-01-01
Mede in het licht van de Flora- en faunawet worden de effecten beoordeeld van de geplande aanleg van een bedrijventerrein in de gemeente Hoogeveen op de populaties Kleine groene kikker (Rana lessonae). Tevens worden maatregelen genoemd ter compensatie en mitigatie van deze effecten.
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Dênio Lima
2007-12-01
Full Text Available Os autores descrevem a síndrome de Kleine-Levin e referem as dificuldades de seu diagnóstico. Apresentam um caso clínico de um rapaz de 16 anos de idade, que tiveram a ocasião de diagnosticar e de acompanhar e que, embora manifestando a trilogia clássica (hipersônia, hiperfagia e hipersexualidade, é ilustrativo dessas dificuldades sob várias formas clínicas. Discutem as causas e as conseqüências colocadas pelas dificuldades de diagnóstico, prestando uma atenção especial aos aspectos de diagnóstico diferencial.The authors describe the Kline-Levin Syndrome (KLS and point out the difficulties regarding its diagnosis. A clinical case of a 16-year-old boy diagnosed and followed by the authors is presented. Although having the classic trilogy (hypersomnolence; hyperphagia; hypersexuality, this is an illustrative case of such difficulties under several distinct clinical forms. Causes and consequences raised by diagnostic difficulties are discussed, with special attention to aspects concerning differential diagnosis.
Extended F-Expansion Method and Periodic Wave Solutions for Klein-Gordon-Schr(o)dinger Equations
Institute of Scientific and Technical Information of China (English)
LI Xiao-Yan; LI Xiang-Zheng; WANG Ming-Liang
2006-01-01
We present an extended F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics. By using extended F-expansion method, many periodic wave solutions expressed by various Jacobi elliptic functions for the Klein-Gordon-Schrodinger equations are obtained. In the limit cases, the solitary wave solutions and trigonometric function solutions for the equations are also obtained.
Institute of Scientific and Technical Information of China (English)
M.R. Setare; O.Hatami
2009-01-01
Based on the shape invariance property we obtain exact solutions of the three-dimensional relativistic Klein-Gordon equation for a charged particle moving in the presence of a certain varying magnetic field, and we also show its non-relativistic limit.
Bound States of the Klein-Gordon and Dirac equations for potential V0 tanh2(r/d)
Institute of Scientific and Technical Information of China (English)
Qiang Wen-Chao
2004-01-01
The exact bound state wavefunctions and energy equations of Klein-Gordon and Dirac equations are given with equal scalar and vector potential s(r) = v(r) = V(r)/2 = V0 tanh2(r/d). The relation between the energy equation and that of relativistic harmonic is discussed.
Institute of Scientific and Technical Information of China (English)
Chen Gang; Chen Zi-Dong; Lou Zhi-Mei
2004-01-01
The exact bound state solutions of the Klein-Gordon equation and Dirac equation with scalar and vector pseudoharmonic oscillator potentials are obtained in this paper. Furthermore, we have used the supersymmetric quantum mechanics, shape invariance and alternative method to obtain the required results.
Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall
Koehn, Michael
2013-01-01
Employing a transformation to hyperbolic space, we derive in a simple way exact solutions for the Klein-Gordon equation in an infinite square-well potential with one boundary moving at constant velocity, for the massless as well as for the massive case.
Bound-State Solution of s-Wave Klein-Gordon Equation for Woods-Saxon Potential
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Eser Olğar
2015-01-01
Full Text Available The bound-state solution of s-wave Klein-Gordon equation is calculated for Woods-Saxon potential by using the asymptotic iteration method (AIM. The energy eigenvalues and eigenfunctions are obtained for the required condition of bound-state solutions.
Approximate Solution of D-Dimensional Klein-Gordon Equation with Hulthen-Type Potential via SUSYQM
Institute of Scientific and Technical Information of China (English)
H. Hassanabadi; S. Zarrinkamar; H. Rahimov
2011-01-01
Approximate analytical solutions of the D-dimensional Klein-Gordon equation are obtained for the scalar and vector general Hulthen-type potential and position-dependent mass with any l by using the concept of supersymmetric quantum mechanics （SUSYQM）. The problem is numerically discussed for some cases of parameters.
Ita, B. I.; Obong, H. P.; Ehi-Eromosele, C. O.; Edobor-Osoh, A.; Ikeuba, A. I.
2014-11-01
The solutions of the Klein-Gordon equation with equal scalar and vector harmonic oscillator plus inverse quadratic potential for S-waves have been presented using the Nikiforov-Uvarov method. The bound state energy eigenvalues and the corresponding un-normalized eigenfunctions are obtained in terms of the Laguerre polynomials.
Derivation of the energy-momentum and Klein-Gordon equations from El Naschie's complex time
Energy Technology Data Exchange (ETDEWEB)
Di Sigalotti, Leonardo G. [Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas, IVIC, Apartado 20632, Caracas 1020A (Venezuela, Bolivarian Republic of)], E-mail: leonardo.sigalotti@gmail.com; Mejias, Antonio [Instituto Universitario Tecnologico de Ejido, IUTE, Avenida 25 de Noviembre, Ejido 5251, Estado Merida (Venezuela, Bolivarian Republic of)], E-mail: antoniojmm@cantv.net; Trujillo, Leonardo [Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas, IVIC, Apartado 20632, Caracas 1020A (Venezuela, Bolivarian Republic of)], E-mail: leo@ivic.ve
2009-12-15
In a previous note, we have provided a formal derivation of the transverse Doppler shift of special relativity from the generalization of El Naschie's complex time. Here, we show that the relativistic energy-momentum equation, and hence the Klein-Gordon equation, are also natural consequences of the complex time generalization.
Wecken type problems for self-maps of the Klein bottle
Directory of Open Access Journals (Sweden)
Kelly MR
2006-01-01
Full Text Available We consider various problems regarding roots and coincidence points for maps into the Klein bottle . The root problem where the target is and the domain is a compact surface with non-positive Euler characteristic is studied. Results similar to those when the target is the torus are obtained. The Wecken property for coincidences from to is established, and we also obtain the following 1-parameter result. Families which are coincidence free but any homotopy between and , , creates a coincidence with . This is done for any pair of maps such that the Nielsen coincidence number is zero. Finally, we exhibit one such family where is the constant map and if we allow for homotopies of , then we can find a coincidence free pair of homotopies.
A stability analysis of a real space split operator method for the Klein-Gordon equation
Blumenthal, Frederick
2011-01-01
We carry out a stability analysis for the real space split operator method for the propagation of the time-dependent Klein-Gordon equation that has been proposed in J. Comput. Phys. 228 (24) (2009) 9092-9106. The region of algebraic stability is determined analytically by means of a von-Neumann stability analysis for systems with homogeneous scalar and vector potentials. Algebraic stability implies convergence of the real space split operator method for smooth absolutely integrable initial conditions. In the limit of small spatial grid spacings h in each of the d spatial dimensions and small temporal steps, the stability condition becomes h/{\\tau}>\\surddc for second order finite differences and \\surd3h/(2{\\tau})>\\surddc for fourth order finite differences, respectively, with c denoting the speed of light. Furthermore, we demonstrate numerically that the stability region for systems with inhomogeneous potentials coincides almost with the region of algebraic stability for homogeneous potentials.
Magnetic Breakdown and Klein Tunneling in a Type-II Weyl Semimetal
O'Brien, T. E.; Diez, M.; Beenakker, C. W. J.
2016-06-01
The band structure of a type-II Weyl semimetal has pairs of electron and hole pockets that coexist over a range of energies and touch at a topologically protected conical point. We identify signatures of this Weyl point in the magnetic quantum oscillations of the density of states, observable in thermodynamic properties. Tunneling between the electron and hole pockets in a magnetic field is the momentum space counterpart of Klein tunneling at a p -n junction in real space. This magnetic breakdown happens at a characteristic field strength that vanishes when the Fermi level approaches the Weyl point. The topological distinction between connected and disconnected pairs of type-II Weyl cones can be distinguished by the qualitatively different dependence of the quantum oscillations on the direction of the magnetic field.
Asymptotic properties of solutions of the Maxwell Klein Gordon equation with small data
Bieri, Lydia; Shahshahani, Sohrab
2014-01-01
We prove peeling estimates for the small data solutions of the Maxwell Klein Gordon equations with non-zero charge and with a non-compactly supported scalar field, in $(3+1)$ dimensions. We obtain the same decay rates as in an earlier work by Lindblad and Sterbenz, but giving a simpler proof. In particular we dispense with the fractional Morawetz estimates for the electromagnetic field, as well as certain space-time estimates. In the case that the scalar field is compactly supported we can avoid fractional Morawetz estimates for the scalar field as well. All of our estimates are carried out using the double null foliation and in a gauge invariant manner.
Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system
Holzegel, Gustav
2011-01-01
In this paper, we study the global behavior of solutions to the spherically symmetric coupled Einstein-Klein-Gordon (EKG) system in the presence of a negative cosmological constant. We prove that the Schwarzschild-AdS spacetimes (the trivial black hole solutions of the EKG system for which $\\phi=0$ identically) are asymptotically stable: Small perturbations of Schwarzschild-AdS initial data again lead to regular black holes, with the metric on the black hole exterior approaching a Schwarzschild-AdS spacetime. The main difficulties in the proof arise from the lack of monotonicity for the Hawking mass and the asymptotically AdS boundary conditions, which render even (part of) the orbital stability intricate. These issues are resolved in a bootstrap argument on the black hole exterior, with the redshift effect and weighted Hardy inequalities playing the fundamental role in the analysis. Both integrated decay and pointwise decay estimates are obtained.
Tunable few-electron double quantum dots and Klein tunnelling in ultraclean carbon nanotubes.
Steele, G A; Gotz, G; Kouwenhoven, L P
2009-06-01
Quantum dots defined in carbon nanotubes are a platform for both basic scientific studies and research into new device applications. In particular, they have unique properties that make them attractive for studying the coherent properties of single-electron spins. To perform such experiments it is necessary to confine a single electron in a quantum dot with highly tunable barriers, but disorder has prevented tunable nanotube-based quantum-dot devices from reaching the single-electron regime. Here, we use local gate voltages applied to an ultraclean suspended nanotube to confine a single electron in both a single quantum dot and, for the first time, in a tunable double quantum dot. This tunability is limited by a novel type of tunnelling that is analogous to the tunnelling in the Klein paradox of relativistic quantum mechanics.
Energy Technology Data Exchange (ETDEWEB)
Chopovsky, Alexey, E-mail: a.chopovsky@yandex.ru [Department of Theoretical Physics, Odessa National University, Dvoryanskaya st. 2, Odessa 65082 (Ukraine); Astronomical Observatory, Odessa National University, Dvoryanskaya st. 2, Odessa 65082 (Ukraine); Eingorn, Maxim, E-mail: maxim.eingorn@gmail.com [CREST and NASA Research Centers, North Carolina Central University, Fayetteville st. 1801, Durham, NC 27707 (United States); Zhuk, Alexander, E-mail: ai.zhuk2@gmail.com [Astronomical Observatory, Odessa National University, Dvoryanskaya st. 2, Odessa 65082 (Ukraine)
2014-09-07
We consider Kaluza–Klein (KK) models where internal spaces are compact Einstein spaces. These spaces are stabilized by background matter (e.g., monopole form-fields). We perturb this background by a compact matter source (e.g., the system of gravitating masses) with the zero pressure in the external/our space and an arbitrary pressure in the internal space. We show that the Einstein equations are compatible only if the matter source is smeared over the internal space and perturbed metric components do not depend on coordinates of extra dimensions. The latter means the absence of KK modes corresponding to the metric fluctuations. Maybe, the absence of KK particles in LHC experiments is explained by such mechanism.
On the Convolution Equation Related to the Diamond Klein-Gordon Operator
Directory of Open Access Journals (Sweden)
Amphon Liangprom
2011-01-01
Full Text Available We study the distribution eαx(♢+m2kδ for m≥0, where (♢+m2k is the diamond Klein-Gordon operator iterated k times, δ is the Dirac delta distribution, x=(x1,x2,…,xn is a variable in ℝn, and α=(α1,α2,…,αn is a constant. In particular, we study the application of eαx(♢+m2kδ for solving the solution of some convolution equation. We find that the types of solution of such convolution equation, such as the ordinary function and the singular distribution, depend on the relationship between k and M.
Didactic derivation of the special theory of relativity from Klein-Gordon equation
Arodź, H
2014-01-01
We present a didactic derivation of the special theory of relativity in which Lorentz transformations are `discovered' as symmetry transformations of Klein-Gordon equation. The interpretation of Lorentz boosts as transformations to moving inertial reference frames is not assumed at the start, but it naturally appears at a later stage. The relative velocity $\\textbf{v}$ of two inertial reference frames is defined in terms of the elements of the pertinent Lorentz matrix, and the bound $|\\textbf{v}|
Kleine-levin syndrome: clinical course, polysomnography and multiple sleep latency test. Case report
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REIMÃO RUBENS
1998-01-01
Full Text Available A case of Kleine-Levin syndrome, with chronic severe periodic hypersomnia is described in a 17-year-old female. The first episode started when she was 15 years old. The episodes were characterized by periodic hypersomnia accompanied by hyperphagia, lasting 5 days, and repeating at 28 to 60 day intervals. The severity of hypersomnia prevented her from attending school activities. Outside the hypersomnia periods, she was asymptomatic. EEG, brain computerized tomography and brain nuclear magnetic resonance were normal; all-night polysomnography, Multiple Sleep Latency Test (MSLT and Epworth Sleepiness Scale (ESS were within normal limits. During the period of hypersomnolence, polysomnography showed short sleep latency and short REM latency. MSLT mean sleep latency was 1.8 min; and REM period was present in one subtest; the ESS was markedly elevated.
Tolman's Luminosity-Distance, Poincare's Light-Distance and Cayley-Klein's Hyperbolic Distance
Pierseaux, Yves
2009-01-01
We deduce Tolman's formula of luminosity-distance in Cosmology from Poincare's definition of light-distance with Lorentz Transformation (LT).In Minkowskian metric, if distance is proper time (as it is often argued) then light-distance must be also the shortest distance, like proper duration (unlike Einstein's longest length within rest system). By introducing Poincare's proper light-distance in Einstein's basic synchronization we deduce a dilated distance between observer and receding mirror (with relativistic Doppler factor). Such a distance corresponds not to an Euclidean distance (Einstein's rigid rod) but to an Hyperbolic distance (Cayley-Klein) with a Lobatchevskian Horizon. From a basic proportionality hyperbolic distance-velocity, we deduce the law of Hubble. By following Penrose's Lobatchevskian representation of LT, we transform Special Relativity (SR) into an Hyperbolic Cosmological Relativity (HCR). by using only the LT but the whole LT. In Hyperbolic Rotation motion (basic active LT or Einstein's ...
Some Remarks on Similarity and Soliton Solutions of Nonlinear Klein-Gordon Equation
Tajiri, Masayoshi
1984-11-01
The three-dimensional nonlinear Klein-Gordon [, Higgs field and Yang-Milles] (3D-KG [, H and YM]) equation is first reduced to the 2D nonlinear Schrödinger (2D-NLS) and 2D-KG [, H and YM] equations, and secondly to the 1D-NLS and 1D-KG [, H and YM] equations by similarity transformations. It is shown that similar type soliton solutions of the 3D-KG, H and YM equations, which have singularity on a plane in (x, y, z, t) space, are obtained by substituting the soliton solutions of the 1D-NLS or 1D-KG (or H) equation into the similarity transformations. The soliton solutions of the YM equation are also investigated.
Acoustical Klein-Gordon equation: a time-independent perturbation analysis.
Forbes, Barbara J; Pike, E Roy
2004-07-30
The perturbation analysis of an ideal acoustical duct was first made by Rayleigh in 1878 and the result has since stood in the literature. However, the analysis is based on the assumption of potential and kinetic energy densities that remain constant as a change in cross section occurs, whereas, in fact, they may fluctuate significantly in comparison to the slowly varying "wave function," Psi(x,t), of the acoustical Klein-Gordon equation. The square of the time-independent eigenfunction, psi(2)(x), is directly proportional to the potential energy per unit length of fluid, and it is shown that it is precisely the perturbation in potential energy that defines correctly the eigenvalue shifts.
Directory of Open Access Journals (Sweden)
V. Mohammadi
2015-01-01
Full Text Available We study the two-dimensional Klein-Gordon equation with spin symmetry in the presence of the superintegrable potentials. On Euclidean space, the SO(3 group generators of the Schrödinger-like equation with the Kepler-Coulomb potential are represented. In addition, by Levi-Civita transformation, the Schrödinger-like equation with harmonic oscillator which is dual to the Kepler-Coulomb potential and the SU(2 group generators of associated system are studied. Also, we construct the quadratic algebra of the hyperboloid superintegrable system. Then, we obtain the corresponding Casimir operators and the structure functions and the relativistic energy spectra of the corresponding quasi-Hamiltonians by using the quadratic algebra approach.
Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G.
2014-12-01
This paper is a detailed and self-contained study of the stability properties of periodic traveling wave solutions of the nonlinear Klein-Gordon equation utt-uxx+V‧(u)=0, where u is a scalar-valued function of x and t, and the potential V(u) is of class C2 and periodic. Stability is considered both from the point of view of spectral analysis of the linearized problem (spectral stability analysis) and from the point of view of wave modulation theory (the strongly nonlinear theory due to Whitham as well as the weakly nonlinear theory of wave packets). The aim is to develop and present new spectral stability results for periodic traveling waves, and to make a solid connection between these results and predictions of the (formal) modulation theory, which has been developed by others but which we review for completeness.
Yang-Mills Field from Quaternion Space Geometry, and its Klein-Gordon Representation
Directory of Open Access Journals (Sweden)
Yefremov A.
2007-07-01
Full Text Available Analysis of covariant derivatives of vectors in quaternion (Q- spaces performed using Q-unit spinor-splitting technique and use of SL(2C-invariance of quaternion multiplication reveals close connexion of Q-geometry objects and Yang-Mills (YM field principle characteristics. In particular, it is shown that Q-connexion (with quaternion non-metricity and related curvature of 4 dimensional (4D space-times with 3D Q-space sections are formally equivalent to respectively YM-field potential and strength, traditionally emerging from the minimal action assumption. Plausible links between YM field equation and Klein-Gordon equation, in particular via its known isomorphism with Duffin-Kemmer equation, are also discussed.
Sharp comparison theorems for the Klein-Gordon equation in d dimensions
Hall, Richard L.; Zorin, Petr
2016-06-01
We establish sharp (or ’refined’) comparison theorems for the Klein-Gordon equation. We show that the condition Va ≤ Vb, which leads to Ea ≤ Eb, can be replaced by the weaker assumption Ua ≤ Ub which still implies the spectral ordering Ea ≤ Eb. In the simplest case, for d = 1, Ui(x) =∫0xV i(t)dt, i = a or b and for d > 1, Ui(r) =∫0rV i(t)td-1dt, i = a or b. We also consider sharp comparison theorems in the presence of a scalar potential S (a ‘variable mass’) in addition to the vector term V (the time component of a four-vector). The theorems are illustrated by a variety of explicit detailed examples.
Lim, C. W.; Wu, B. S.; He, L. H.
2001-12-01
A novel approach is presented for obtaining approximate analytical expressions for the dispersion relation of periodic wavetrains in the nonlinear Klein-Gordon equation with even potential function. By coupling linearization of the governing equation with the method of harmonic balance, we establish two general analytical approximate formulas for the dispersion relation, which depends on the amplitude of the periodic wavetrain. These formulas are valid for small as well as large amplitude of the wavetrain. They are also applicable to the large amplitude regime, which the conventional perturbation method fails to provide any solution, of the nonlinear system under study. Three examples are demonstrated to illustrate the excellent approximate solutions of the proposed formulas with respect to the exact solutions of the dispersion relation. (c) 2001 American Institute of Physics.
Dynamical Hamiltonian-Hopf instabilities of periodic traveling waves in Klein-Gordon equations
Marangell, R.; Miller, P. D.
2015-07-01
We study the unstable spectrum close to the imaginary axis for the linearization of the nonlinear Klein-Gordon equation about a periodic traveling wave in a co-moving frame. We define dynamical Hamiltonian-Hopf instabilities as points in the stable spectrum that are accumulation points for unstable spectrum, and show how they can be determined from the knowledge of the discriminant of Hill's equation for an associated periodic potential. This result allows us to give simple criteria for the existence of dynamical Hamiltonian-Hopf instabilities in terms of instability indices previously shown to be useful in stability analysis of periodic traveling waves. We also discuss how these methods can be applied to more general nonlinear wave equations.
Discrete gap breathers in a diatomic Klein-Gordon chain: stability and mobility.
Gorbach, Andrey V; Johansson, Magnus
2003-06-01
A one-dimensional diatomic chain with harmonic intersite potential and nonlinear external potential is considered (the Klein-Gordon model). Localized solutions of the corresponding nonlinear differential equations with frequencies inside the gap of the linear wave spectrum--"gap breathers"--are studied numerically. The linear stability analysis for these solutions is performed while changing the system parameters from the anticontinuous to the continuous limit. Two different types of solutions are considered: symmetric centered at a heavy atom and antisymmetric centered at a light atom, respectively. Different mechanisms of instability, oscillatory as well as nonoscillatory, of the gap breathers are studied, and the influence of the instabilities on the breather solutions is investigated in the dynamics simulations. In particular, the presence of an "inversion of stability" regime, with simultaneous nonoscillatory instabilities of symmetric and antisymmetric solutions with respect to antisymmetric perturbations, is found, yielding practically radiationless mobility.
Multi-site breathers in Klein--Gordon lattices: stability, resonances, and bifurcations
Pelinovsky, Dmitry
2011-01-01
We prove the most general theorem about spectral stability of multi-site breathers in the discrete Klein--Gordon equation with a small coupling constant. In the anti-continuum limit, multi-site breathers represent excited oscillations at different sites of the lattice separated by a number of "holes" (sites at rest). The theorem describes how the stability or instability of a multi-site breather depends on the phase difference and distance between the excited oscillators. Previously, only multi-site breathers with adjacent excited sites were considered within the first-order perturbation theory. We show that the stability of multi-site breathers with one-site holes change for large-amplitude oscillations in soft nonlinear potentials. We also discover and study a symmetry-breaking (pitchfork) bifurcation of one-site and multi-site breathers in soft quartic potentials near the points of 1:3 resonance.
Gallet, Basile; Dubrulle, Bérengère
2015-01-01
In field theory, particles are waves or excitations that propagate on the fundamental state. In experiments or cosmological models one typically wants to compute the out-of-equilibrium evolution of a given initial distribution of such waves. Wave Turbulence deals with out-of-equilibrium ensembles of weakly nonlinear waves, and is therefore well-suited to address this problem. As an example, we consider the complex Klein-Gordon equation with a Mexican-hat potential. This simple equation displays two kinds of excitations around the fundamental state: massive particles and massless Goldstone bosons. The former are waves with a nonzero frequency for vanishing wavenumber, whereas the latter obey an acoustic dispersion relation. Using wave turbulence theory, we derive wave kinetic equations that govern the coupled evolution of the spectra of massive and massless waves. We first consider the thermodynamic solutions to these equations and study the wave condensation transition, which is the classical equivalent of Bo...
On the Klein-Gordon equation using the dispersion relation of Doubly Special Relativity
Felipe, Yese J.
2017-01-01
The theory of Doubly Special Relativity or Deformed Special Relativity (DSR), proposes that there is a maximum energy scale and a minimum length scale that is invariant for all observers. These maximum energy and minimum length correspond to the Planck energy and the Planck length, respectively. As a consequence, the dispersion relation is modified to be E2 =p2c2 +m2c4 + λE3 + ... Previous work has been done to express Quantum Mechanics using the dispersion relation of DSR. Solutions of the free particle, the harmonic oscillator, and the Hydrogen atom have been obtained from the DSR Schrodinger equation. We explore how the DSR Klein-Gordon equation can be consistently approximated in the non-relativistic limit in order to derive the DSR Schrodinger equation.
Stability study of a model for the Klein-Gordon equation in Kerr spacetime
Beyer, Horst Reinhard; Megevand, Miguel; Degollado, Juan Carlos
2012-01-01
The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the problem of the stability of the solutions of the Klein-Gordon equation, describing the propagation of a scalar field of mass $\\mu$ in the background of a rotating black hole. Rigorous results proof the stability of the reduced, by separation in the azimuth angle in Boyer-Lindquist coordinates, field for sufficiently large masses. Some, but not all, numerical investigations find instability of the reduced field for rotational parameters $a$ extremely close to 1. Among others, the paper derives a model problem for the equation which supports the instability of the field down to $a/M \\approx 0.97$.
A channel sediment budget for the 'Kleine Noordwaard' in the Biesbosch area, the Netherlands
van der Deijl, Eveline C.; van der Perk, Marcel; Zonneveld, Wouter; Verschelling, Eelco; Middelkoop, Hans
2015-04-01
Many deltas in the world are subject to drowning and loss of land due to accelerated soil subsidence, sea level rise, and sediment starvation. Effective delta restoration requires a thorough understanding of the rates and mechanisms of delta aggradation and their controls. This study aims to quantify the rates and patterns of aggradation in the Kleine Noordwaard, a former polder area in the Biesbosch area in the south-west of the Netherlands, in which water and sediment have been reintroduced since 2009. A sediment budget was established using existing bathymetric data collected using a multibeam echosounder and LiDAR digital elevation models collected since the opening of the polder, supplemented with field observations of the location and height of cut banks carried out between July and December 2014. Consecutive measurements of channel bathymetry showed a positive sediment budget in the channels between March 2009 and March 2013. During this period 59533 m3 of sediment was retained in the channels in the Kleine Noordwaard, which corresponds to an average sedimentation rate of 16.8 mm/year in the channels and 3.4 mm/year over the entire area. Sedimentation and aggradation primarily took place in the channels in the central part of the former polder area, whereas the channels near the entrance and outlet of the area underwent considerable erosion. It is therefore likely that a part of the sediment deposited in the central part of the system was supplied internally by upstream erosion of the channels. The results from the field observations suggest that cut-bank retreat also significantly contributes to internal sediment redistribution.
Cerebrospinal Fluid Orexin A Levels and Autonomic Function in Kleine-Levin Syndrome
Wang, Jing Yu; Han, Fang; Dong, Song X.; Li, Jing; An, Pei; Zhang, Xiao Zhe; Chang, Yuan; Zhao, Long; Zhang, Xue Li; Liu, Ya Nan; Yan, Han; Li, Qing Hua; Hu, Yan; Lv, Chang Jun; Gao, Zhan Cheng; Strohl, Kingman P.
2016-01-01
Study Objectives: Kleine-Levin syndrome (KLS) is a rare disorder of relapsing sleepiness. The hypothesis was that the syndrome is related to a change in the vigilance peptide orexin A. Methods: From 2002 to 2013, 57 patients with relapsing hypersomnolence were clinically assessed in a referral academic center in Beijing, China, and 44 (28 males and 16 females; mean age 18.3 ± 8.9 y (mean ± standard deviation, range 9–57 y) were determined to have clinical and behavioral criteria consistent with KLS. Cerebrospinal fluid orexin A levels and diurnal blood pressure were measured in relapse versus remission in a subgroup of patients. Results: Presenting symptoms included relapsing or remitting excessive sleepiness–associated parallel complaints of cognitive changes (82%), eating disorders (84%); depression (45%); irritability (36%); hypersexuality (18%); and compulsions (11%). Episodes were 8.2 ± 3.3 days in duration. In relapse, diurnal values for blood pressure and heart rate were lower (P < 0.001). In a subgroup (n = 34), cerebrospinal fluid orexin A levels were ∼31% lower in a relapse versus remission (215.7 ± 81.5 versus 319.2 ± 95.92 pg/ml, P < 0.001); in three patients a pattern of lower levels during subsequent relapses was documented. Conclusions: There are lower orexin A levels in the symptomatic phase than in remission and a fall and rise in blood pressure and heart rate, suggesting a role for orexin dysregulation in KLS pathophysiology. Citation: Wang JY, Han F, Dong SX, Li J, An P, Zhang XZ, Chang Y, Zhao L, Zhang XL, Liu YN, Yan H, Li QH, Hu Y, Lv CJ, Gao ZC, Strohl KP. Cerebrospinal fluid orexin A levels and autonomic function in Kleine-Levin syndrome. SLEEP 2016;39(4):855–860. PMID:26943469
Non-equilibrium steady states in the Klein-Gordon theory
Doyon, Benjamin; Lucas, Andrew; Schalm, Koenraad; Bhaseen, M. J.
2015-03-01
We construct non-equilibrium steady states in the Klein-Gordon theory in arbitrary space dimension d following a local quench. We consider the approach where two independently thermalized semi-infinite systems, with temperatures {{T}L} and {{T}R}, are connected along a d-1-dimensional hypersurface. A current-carrying steady state, described by thermally distributed modes with temperatures {{T}L} and {{T}R} for left and right-moving modes, respectively, emerges at late times. The non-equilibrium density matrix is the exponential of a non-local conserved charge. We obtain exact results for the average energy current and the complete distribution of energy current fluctuations. The latter shows that the long-time energy transfer can be described by a continuum of independent Poisson processes, for which we provide the exact weights. We further describe the full time evolution of local observables following the quench. Averages of generic local observables, including the stress-energy tensor, approach the steady state with a power-law in time, where the exponent depends on the initial conditions at the connection hypersurface. We describe boundary conditions and special operators for which the steady state is reached instantaneously on the connection hypersurface. A semiclassical analysis of freely propagating modes yields the average energy current at large distances and late times. We conclude by comparing and contrasting our findings with results for interacting theories and provide an estimate for the timescale governing the crossover to hydrodynamics. As a modification of our Klein-Gordon analysis we also include exact results for free Dirac fermions.
A Note on Flux Induced Superpotentials in String Theory
Becker, M; Becker, Melanie; Constantin, Dragos
2003-01-01
Non-vanishing fluxes in M-theory and string theory compactifications induce a superpotential in the lower dimensional theory. Gukov has conjectured the explicit form of this superpotential. We check this conjecture for the heterotic string compactified on a Calabi-Yau three-fold as well as for warped M-theory compactifications on Spin(7) holonomy manifolds, by performing a Kaluza-Klein reduction.
克莱茵瓶上奇异地图的色数%Chromatic Enumeration for Singular Maps on the Klein Bottle
Institute of Scientific and Technical Information of China (English)
李赵祥; 刘彦佩
2002-01-01
A map is singular if each edge is on the same face on a surface (i.e., ithas only one face on a surface). In this paper we present the chromatic enumerationfor rooted singular maps on the Klein bottle.
Vitória, R. L. L.; Furtado, C.; Bakke, K.
2016-07-01
The relativistic quantum dynamics of an electrically charged particle subject to the Klein-Gordon oscillator and the Coulomb potential is investigated. By searching for relativistic bound states, a particular quantum effect can be observed: a dependence of the angular frequency of the Klein-Gordon oscillator on the quantum numbers of the system. The meaning of this behaviour of the angular frequency is that only some specific values of the angular frequency of the Klein-Gordon oscillator are permitted in order to obtain bound state solutions. As an example, we obtain both the angular frequency and the energy level associated with the ground state of the relativistic system. Further, we analyse the behaviour of a relativistic position-dependent mass particle subject to the Klein-Gordon oscillator and the Coulomb potential.
Type IIB supergravity on squashed Sasaki-Einstein manifolds
Cassani, Davide; Faedo, Anton F
2010-01-01
We provide a consistent N=4 Kaluza-Klein truncation of type IIB supergravity on general 5-dimensional squashed Sasaki-Einstein manifolds. Our reduction ansatz keeps all and only the supergravity modes dual to the universal gauge sector of the associated conformal theories, via the gauge/gravity correspondence. The reduced 5-dimensional model displays remarkable features: it includes both zero-modes as well as massive iterations of the Kaluza-Klein operators on the internal manifold; it contains tensor fields dual to vectors charged under a non-abelian gauge group; it has a scalar potential with a non-supersymmetric AdS vacuum in addition to the supersymmetric one.
Quantum Fluctuations for de Sitter Branes in Bulk AdS(5)
Naylor, W; Naylor, Wade; Sasaki, Misao
2004-01-01
The vacuum expectation value of the square of the field fluctuations of a scalar field on a background consisting of two de Sitter branes embedded in an anti-de Sitter bulk are considered. We apply a dimensional reduction to obtain an effective lower dimensional de Sitter space equation of motion with associated Kaluza-Klein masses and canonical commutation relations. The case of a scalar field obeying a restricted class of mass and curvature couplings, including massless, conformal coupling as a special case, is considered. We find that the local behaviour of the quantum fluctuations suffers from surface divergences as we approach the brane, however, if the field is {\\it constrained} to its value on the brane from the beginning then surface divergences disappear. The ratio of $$ between the Kaluza-Klein spectrum and the lowest eigenvalue mode is found to vanish in the limit that one of the branes goes to infinity.
Suárez, Abril
2015-01-01
Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit. We consider a complex self-interacting scalar field with a $\\lambda|\\varphi|^4$ potential. We study the evolution of the homogeneous background in the fluid representation and derive the linearized equations describing the evolution of small perturbations in a static and in an expanding universe. We compare the results with simplified models in which the gravitational potential is introduced by hand in the Klein-Gordon equation, and assumed to satisfy a (generalized) Poisson equation. We study the evolution of the perturbations in the matter era using the nonrelativistic limit of our formalism. Perturbations whose wavelength is below the Jeans length oscillate in time while pertubations whose wavelength is above the Jeans length grow linearly with the scale factor as in the cold dark matter model. The growth of perturbations in the scalar field model ...
Hack, Thomas-Paul
2014-01-01
We quantize the linearised Einstein-Klein-Gordon system on arbitrary on-shell backgrounds in a manifestly covariant and gauge-invariant manner. For the special case of perturbations in Inflation, i.e. on-shell backgrounds of Friedmann-Lema\\^itre-Robertson-Walker type, we compare our general quantization construction with the standard approach to the quantum theory of perturbations in Inflation. We find that not all local quantum observables of the linearised Einstein-Klein-Gordon system can be split into local observables of scalar and tensor type as in the standard approach. However, we argue that this subclass of observables is sufficient for measuring perturbations which vanish at spatial infinity, which is in line with standard assumptions. Finally, we comment on a recent observation that, upon standard quantization, the quantum Bardeen potentials display a non-local behaviour and argue that a similar phenomenon occurs in any local quantum field theory.
Hinshelwood, R D
1996-06-01
Although the concept of "inner objects" developed by Melanie Klein is hardly a major object of discussion today, it caused a furore in the ranks of the British Psychoanalytical Society in the thirties and forties. Notably the analysts from Vienna were unable to agree to the existence of inner objects engendered via processes of internalisation. The author traces the course of these discussions of a clinical problem and the confusion they caused, placing them at the same time in a specific historical context. He sees the controversy as the expression of conflicts and fears unsettling the British Psychoanalytical Society during that period, caused on the one hand by the necessary integration of the exiled Freud family and on the other by tensions within its own ranks leading ultimately to a division of the Society and the constitution of the Klein Group.
EPR & Klein Paradoxes in Complex Hamiltonian Dynamics and Krein Space Quantization
Payandeh, Farrin
2015-07-01
Negative energy states are applied in Krein space quantization approach to achieve a naturally renormalized theory. For example, this theory by taking the full set of Dirac solutions, could be able to remove the propagator Green function's divergences and automatically without any normal ordering, to vanish the expected value for vacuum state energy. However, since it is a purely mathematical theory, the results are under debate and some efforts are devoted to include more physics in the concept. Whereas Krein quantization is a pure mathematical approach, complex quantum Hamiltonian dynamics is based on strong foundations of Hamilton-Jacobi (H-J) equations and therefore on classical dynamics. Based on complex quantum Hamilton-Jacobi theory, complex spacetime is a natural consequence of including quantum effects in the relativistic mechanics, and is a bridge connecting the causality in special relativity and the non-locality in quantum mechanics, i.e. extending special relativity to the complex domain leads to relativistic quantum mechanics. So that, considering both relativistic and quantum effects, the Klein-Gordon equation could be derived as a special form of the Hamilton-Jacobi equation. Characterizing the complex time involved in an entangled energy state and writing the general form of energy considering quantum potential, two sets of positive and negative energies will be realized. The new states enable us to study the spacetime in a relativistic entangled “space-time” state leading to 12 extra wave functions than the four solutions of Dirac equation for a free particle. Arguing the entanglement of particle and antiparticle leads to a contradiction with experiments. So, in order to correct the results, along with a previous investigation [1], we realize particles and antiparticles as physical entities with positive energy instead of considering antiparticles with negative energy. As an application of modified descriptions for entangled (space
Erasmus, Lourens Johannes Jacobus
2011-01-01
The ABSA Klein Karoo National Arts Festival (KKNK) is one of the biggest and most popular Afrikaans arts festivals in South Africa, and since its modest beginnings in 1994, the festival has grown significantly with an estimated 85518 visitors attending the festival in 2010. The festival furthermore has a considerable economic impact on the host community of Oudtshoorn and the surrounding regions. The direct spending by festival visitors during the 2010 festival was estimated at...
Ikot, A. N.; Obong, H. P.; Abbey, T. M.; Zare, S.; Ghafourian, M.; Hassanabadi, H.
2016-09-01
In this article we use supersymmetry quantum mechanics and factorization methods to study the bound and scattering state of Klein-Gordon equation with deformed Hulthen plus deformed hyperbolical potential for arbitrary state in D-dimensions. The analytic relativistic bound state eigenvalues and the scattering phase factor are found in closed form. We report on the numerical results for the bound state energy in D-dimensions.
Institute of Scientific and Technical Information of China (English)
He Hong-Sheng; Chen Jiang; Yang Kong-Qing
2005-01-01
The extended F-expansion method or mapping method is used to construct exact solutions for the coupled Klein-Gordon Schr(o)dinger equations (K-G-S equations) by the aid of the symbolic computation system Mathematica. More solutions in the Jacobi elliptic function form are obtained, including the single Jacobi elliptic function solutions, combined Jacobi elliptic function solutions, rational solutions, triangular solutions, soliton solutions and combined soliton solutions.
Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system
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Achenef Tesfahun
2007-11-01
Full Text Available We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions is locally well-posed in a range of Sobolev spaces for the Dirac spinor and the meson field. The result contains and extends the earlier known results for the same problem. Our proof relies on the null structure in the system, and bilinear spacetime estimates of Klainerman-Machedon type.
Institute of Scientific and Technical Information of China (English)
Dao Yuan FANG; Ru Ying XUE
2006-01-01
In this paper, we consider a system of two cubic quasi-linear Klein-Gordon equations with different masses for small, smooth, compactly supported Cauchy data in one space dimension. We show that such a system has global existence when the nonlinearities satisfy a convenient null condition. Our results extend the global existence proved by Sunagawa recently under the non-resonance assumption to that under the resonance assumption.
Bound states of Klein-Gordon equation for double ring-shaped oscillator scalar and vector potentials
Institute of Scientific and Technical Information of China (English)
Lu Fa-Lin; Chen Chang-Yuan; Sun Dong-Sheng
2005-01-01
In Spherical polar coordinates, double ring-shaped oscillator potentials have supersymmetry and shape invariance for θ and τ coordinates. Exact bound state solutions of Klein-gordon equation with equal double ring-shaped oscillator scalar and vector potentials are obtained. The normalized angular wavefunction expressed in terms of Jacobi polynomials and the normalized radial wavefunction expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.
Institute of Scientific and Technical Information of China (English)
Liu Yang; Tang Yi
2008-01-01
By means of the Glauber's coherent state method combined with multiple-scale method,this paper investigates the localized modes in a quantum one-dimensional Klein-Gordon chain and finds that the equation of motion of annihilation operator is reduced to the nonlinear Schr(o)dinger equation.Interestingly,the model can support both bright and dark small amplitude travelling and non-travelling nonlinear localized modes in different parameter spaces.
Melanie Klein en las publicaciones de la Revista de Psicoanálisis (1943-1955)
Moukarzel, María Laura
2013-01-01
En el presente trabajo, se plantea como objetivo abordar el problema de la recepción de la obra de Melanie Klein en Buenos Aires, partiendo de las principales hipótesis históricas escritas hasta el momento y el análisis de las publicaciones de la Revista de Psicoanálisis de la Asociación Psicoanalítica Argentina entre 1943 y 1955.
Exact Solutions of Klein-Gordon Equation with Scalar and Vector Rosen-Morse-Type Poten-tials
Institute of Scientific and Technical Information of China (English)
A. Soylu; O. Bayrak; I. Boztosun
2008-01-01
@@ We obtain an exact analytical solution of the Klein-Gordon equation for the equal vector and scalar Rosen-Morse and Eckart potentials as well as the parity-time (PT) symmetric version of the these potentials by using the asymptotic iteration method. Although these PT symmetric potentials are non-Hermitian, the corresponding eigenvalues are real as a result of the PT symmetry.
’n Groene in De Nieuwe Gids, Frederik van Eeden, De kleine Johannes en die ekologisme
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W. van Zyl
1995-05-01
Full Text Available An ecologist in De Nieuwe Gids, Frederik van Eeden’s De kleine Johannes and ecologismThe famous late nineteenth-century Dutch literary rebels, the Tachtigers, chose a part of Frederik van Eeden's De kleine Johannes as the opening text for the first edition of their literary mouthpiece, De Nieuwe Gids. Closer analysis in this article shows, however, that the novel contradicts precisely those literary ideals it was supposed to embody. Much more than being an illustration of the Romantic poetics favoured by the movement, it tends to be a rather didactic defence of ecological ideals and a literary preview of ideas Van Eeden would later advocate much more outspokenly. In his so-called Walden Experiment, inspired by the views of the American ecologist Henry David Thoreau, he would even try to put these ideals into practice. This experiment did not bring about the social success Van Eeden hoped for, but in an ironical way it did fulfil a prophecy in De kleine Johannes: “Among people you will experience endless sorrow…”.
Lucio Rapoport, Diego
2013-04-01
We present a unified principle for science that surmounts dualism, in terms of torsion fields and the non-orientable surfaces, notably the Klein Bottle and its logic, the Möbius strip and the projective plane. We apply it to the complex numbers and cosmology, to non-linear systems integrating the issue of hyperbolic divergences with the change of orientability, to the biomechanics of vision and the mammal heart, to the morphogenesis of crustal shapes on Earth in connection to the wavefronts of gravitation, elasticity and electromagnetism, to pattern recognition of artificial images and visual recognition, to neurology and the topographic maps of the sensorium, to perception, in particular of music. We develop it in terms of the fundamental 2:1 resonance inherent to the Möbius strip and the Klein Bottle, the minimal surfaces representation of the wavefronts, and the non-dual Klein Bottle logic inherent to pattern recognition, to the harmonic functions and vector fields that lay at the basis of geophysics and physics at large. We discuss the relation between the topographic maps of the sensorium, and the issue of turning inside-out of the visual world as a general principle for cognition, topological chemistry, cell biology and biological morphogenesis in particular in embryology
Kaluza–Klein gluon + jets associated production at the Large Hadron Collider
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A.M. Iyer
2016-08-01
Full Text Available The Kaluza–Klein excitations of gluons offer the exciting possibility of probing bulk Randall–Sundrum (RS models. In these bulk models either a custodial symmetry or a deformation of the metric away from AdS is invoked in order to deal with electroweak precision tests. Addressing both these models, we suggest a new channel in which to study the production of KK-gluons (gKK: one where it is produced in association with one or more hard jets. The cross-section for the gKK + jets channel is significant because of several contributing sub-processes. In particular, the 1-jet and the 2-jet associated processes are important because at these orders in QCD the qg and the gg initial states respectively come into play. We have performed a hadron-level simulation of the signal and present strategies to effectively extract the signal from what could potentially be a huge background. We present results for the kinematic reach of the LHC Run-II for different gKK masses in bulk-RS models.
An approach to the Klein-Gordon equation for a dynamic study in ferroelectric materials
Energy Technology Data Exchange (ETDEWEB)
Bandyopadhyay, A K [Government College of Engineering and Ceramic Technology, W B University of Technology, 73, A C Banerjee Lane, Kolkata-700010 (India); Ray, P C [Department of Mathematics, Government College of Engineering and Leather Technology, WBUT, LB Block, Sector III, Salt Lake, Kolkata-700098 (India); Gopalan, Venkatraman [Materials Research Institute and Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA 16802 (United States)
2006-04-26
Ferroelectric materials such as lithium niobate and lithium tantalate show a non-linear hysteresis behaviour, which may be explained by dynamical system analysis. The behaviour of these ferroelectrics is usually explained by domains and domain wall movements. So, the spatial variation of the domain wall was studied previously in order to see its effect on the domain wall width in the context of the Landau-Ginzburg functional. In the present work, both temporal and spatial variations of polarization are considered, and by using the Euler-Lagrange dynamical equation of motion, a Klein-Gordon equation is derived by taking the ferroelectrics as a Hamiltonian system. An interaction has been considered between the nearest neighbour domains, which are stacked sideways in a parallel array with uniform polarization. This interaction term is associated with the spatial term and when this interaction is assumed to be zero, the spatial term vanishes, giving rise to a Duffing oscillator differential equation, which can be also studied by a dynamic system analysis.
Institute of Scientific and Technical Information of China (English)
柳恩见（编）; 凌云（译）
2006-01-01
Calvin Klein Jeans近日展示了其2006春夏季男女装系列，以时尚手法重新演绎了充满传奇的20世纪70年代服饰风格。本次的春夏系列融合了以下特色：自信勇敢的都市精神——糅合硬朗的军服设计与崇尚心灵主义的波西米亚风格，充满玩味的搭配，时尚．感性而浪漫：层出不穷的印花图案——巧妙融入各种不同的颜色，布料，质感，令人耳目一新。系列中各种风格的褶纹布料，轻盈的帆布．皱身的棉布营造出旧装效果；
A Polysomnography Study of Kleine-Levin Syndrome in a Single Center
Institute of Scientific and Technical Information of China (English)
Yan-Wen Luo; Huan Yu; Lu-Hua Yuan; Guo-Xing Zhu
2016-01-01
Background:Kleine-Levin syndrome (KLS) is a rare sleep disorder characterized by recurrent episodes of hypersomnia.Polysomnographic (PSG) researches of KLS have been reported only in few publications in the past decades.This study aimed to investigate the characteristics of PSG of KLS.Methods:This study,which was conducted from March 2010 to July 2014,included seven patients diagnosed with KLS in the Sleep and Wake Disorder Center of Huashan Hospital,Fudan University (Shanghai,China).PSG and multiple sleep latency tests (MSLT) were performed during their episodes and the results were evaluated.Results:Five of the seven patients were males.The mean age at KLS onset was 15.6 ± 3.6 years.The number of episodes ranged from 2 to 7.The duration of episodes lasted from 4 to 11 days.The sleep architecture and proportion were normal in most of the patients.The average value of mean sleep latency was 6.9 ± 4.1 min.No sleep-onset rapid eye movement (SOREM) was detected in three of the patients,whereas one patient experienced one period of SOREM,and such episodes occurred twice in other two patients.Conclusions:We found that sleep architecture and proportion were normal in most KLS patients.However,the results of PSG and MSLT had no specificity for KLS patients.
Hydromagnetic Waves in a Compressed Dipole Field via Field-Aligned Klein-Gordon Equations
Zheng, Jinlei; McKenzie, J F; Webb, G M
2014-01-01
Hydromagnetic waves, especially those of frequencies in the range of a few milli-Hz to a few Hz observed in the Earth's magnetosphere, are categorized as Ultra Low Frequency (ULF) waves or pulsations. They have been extensively studied due to their importance in the interaction with radiation belt particles and in probing the structures of the magnetosphere. We developed an approach in examining the toroidal standing Aflv\\'{e}n waves in a background magnetic field by recasting the wave equation into a Klein-Gordon (KG) form along individual field lines. The eigenvalue solutions to the system are characteristic of a propagation type when the corresponding eigen-frequency is greater than a cut-off frequency and an evanescent type otherwise. We apply the approach to a compressed dipole magnetic field model of the inner magnetosphere, and obtain the spatial profiles of relevant parameters and the spatial wave forms of harmonic oscillations. We further extend the approach to poloidal mode standing Alfv\\'{e}n waves...
Solitons and chaos of the Klein-Gordon-Zakharov system in a high-frequency plasma
Zhen, Hui-Ling; Tian, Bo; Sun, Ya; Chai, Jun; Wen, Xiao-Yong
2015-10-01
In this paper, we study the Klein-Gordon-Zakharov (KGZ) system, which describes the interaction between the Langmuir wave and ion sound wave in a high-frequency plasma. By means of the Hirota method and symbolic computation, bright and mixed-type soliton solutions are obtained. For the one soliton, amplitude of E is positively related to β 2 , and that of n is inversely related to β 2 , while they are both positively related to α, where E refers to the high-frequency part of the electrostatic potential of the electric field raised by the electrons, and n represents the deviation of ion density from its equilibrium, β 2 and α are the plasma frequency and ion sound speed, respectively. Head-on interactions between the two bright solitons and two mixed-type ones are respectively displayed. With β 2 increasing, the head-on interaction is transformed into an overtaking one. Bright bound-state solitons are investigated, and the interaction period decreases with α increasing. Furthermore, with the external forces Γ 1 ( t ) and Γ 2 ( t ) introduced, the perturbed KGZ system is studied numerically for its associated chaotic motions. Both the weak and developed chaotic motions can be observed. Γ 1 ( t ) and Γ 2 ( t ) have different effects on the chaotic motions: the chaotic motion can be weakened by decreasing the amplitude of Γ 1 ( t ) or increasing the amplitude and frequency of Γ 2 ( t ) .
One perspective on the Freud-Klein controversies 1941-45.
Schafer, R
1994-04-01
Comments on the complex relations obtaining between, on the one hand, tradition, innovations and existential perspective and, on the other, presuppositions about method, evidence and truth are prefaced by a review of the helpful and hindering attitudes and conduct of the three parties to these controversial discussions, the third group being the indigenous ('independent') British group. This group directed the process into productive channels against great odds. The subsequent history of psychoanalysis shows, in addition to increased organisational stability and tolerance in times of crisis, an evolving enrichment and refinement of theory and practice in all three groups. Those following Melanie Klein have developed further their own kind of ego-psychological emphasis, while those following Anna Freud and 'the Viennese' around her have developed a more inclusive theoretical and clinical perspective, one that makes more salient the influence of the very first years of life and early infantile aggression as well as accepting a broadening of the idea of transference to include child analysis. This history supports the view that pluralism in psychoanalysis has been of much benefit.