International Nuclear Information System (INIS)
Assessment of research records of Boron Neutron Capture Therapy was conducted at Brookhaven National Laboratory and Beth Israel Deaconess Medical Center using the Code of Federal Regulations, FDA Regulations and Good Clinical Practice Guidelines. Clinical data were collected FR-om subjects' research charts, and differences in conduct of studies at both centers were examined. Records maintained at Brookhaven National Laboratory were not in compliance with regulatory standards. Beth Israel's records followed federal regulations. Deficiencies discovered at both sites are discussed in the reports
Culliton v. Beth Israel Deaconess Medical Center.
2001-01-01
Court Decision: 756 North Eastern Reporter, 2d Series 1133; 2001 Oct 12 (date of decision). The Supreme Judicial Court of Massachusetts ordered the defendant hospital to designate the plaintiffs as parents on the birth certificates of their genetic children, delivered at the defendant hospital by a gestational carrier. Steven and Marla Culliton entered into a gestational surrogacy agreement with Melissa Carroll to have embryos which were created by in vitro fertilization with the plaintiffs' own sperm and ova, implanted in the carrier. Before the children's births the plaintiffs requested a declaration of paternity and maternity and an order directing the hospital to enter the plaintiffs' names in the children's birth certificates. The Family Court dismissed the complaint, citing lack of authority to issue any prebirth order of parentage. On appeal, the Supreme Judicial Court held that the Family Court had the authority to consider the complaint because the plaintiffs were the only genetic sources of the children, and neither party contested the complaint. Because the children were born while the case was on appeal, the Supreme Judicial Court entered judgment for the plaintiffs and ordered that they be listed as the mother and father of the children on their birth records. The Supreme Judicial Court also held that the defendant hospital was still required to supply the state Department of Health with confidential information regarding the identity of the woman who delivered the children and "her prenatal health, labor and delivery, and postpartum care and condition" under the hospital's duties and responsibilities to report vital records information for research and public health purposes. PMID:17225347
Participatory management at Boston's Beth Israel Hospital.
Rabkin, M T; Avakian, L
1992-05-01
In the mid-1980s, the senior management of Boston's Beth Israel Hospital became concerned that continuous cost-cutting efforts could lower the quality of the hospital's services and the morale of its staff. This led them to investigate organizational approaches to "participatory management" to determine whether any of these might be of value to the hospital. They decided that an approach developed in the 1930s called the "Scanlon Plan" would be compatible with the workplace culture of Beth Israel, could help the hospital meet the ongoing problems of change, and could help the staff at all levels develop a sense that they owned the problems of quality, productivity, and efficiency, which would motivate them to address these problems constructively in the face of necessary budget constraints. This plan has two mechanisms to foster employees' positive participation: (1) a process to ensure that all members of the organization have the opportunity to improve productivity, primarily through an open suggestion system and a responsive committee structure, and (2) a means of providing equitable rewards for all members of the organization as productivity and quality improve. This essay describes in some detail the plan and why it was selected, explains how it was adapted, prepared for, and finally implemented in 1989, and reports its success, lessons learned, and future plans as of early 1992. The authors believe Beth Israel's experience with the Scanlon Plan is noteworthy as an example of a leading teaching hospital's taking a quality improvement program seriously and making it work. PMID:1575858
Burns, Risa B; Schonberg, Mara A; Tung, Nadine M; Libman, Howard
2016-08-01
In November 2013, the U.S. Preventive Services Task Force issued a guideline on medications for risk reduction of primary breast cancer in women. Although mammography can detect early cases, it cannot prevent development of breast cancer. Tamoxifen and raloxifene are selective estrogen receptor modulators that have been shown to reduce the risk for estrogen receptor-positive breast cancer and are approved by the U.S. Food and Drug Administration (FDA) for this indication. However, neither medication reduces the risk for estrogen receptor-negative breast cancer or all-cause mortality. The Task Force concluded that postmenopausal women with an estimated 5-year risk for breast cancer of 3% or greater will probably have more net benefit than harm and recommends that clinicians engage in shared, informed decision making about these medications. The American Society of Clinical Oncology issued a practice guideline on use of pharmacologic interventions for breast cancer in 2013. It recommends that women aged 35 years or older at increased risk, defined as a 5-year absolute risk for breast cancer of 1.66% or greater, discuss breast cancer prevention medications with their primary care practitioner. The Society includes the aromatase inhibitor exemestane in addition to tamoxifen and raloxifene as a breast cancer prevention medication, although exemestane is not FDA approved for this indication. Here, an oncologist and an internist discuss how they would balance these recommendations and what they would suggest for an individual patient. PMID:27479221
International Nuclear Information System (INIS)
Israel's ambiguous posture gradually emerged, although Israel, according to all international accounts, continued to pursue the development of a nuclear weapon option. The evolution of Israeli policy on this issue constitutes the main focus of this paper. Beginning with a detailed account of the strategic and political context, the initial Israeli decisions to develop a nuclear infrastructure are examined. Next, Israel's decision to adopt an ambiguous stance, the various features of the current threshold posture and the reasons for Israel's restraint will respect to nuclear weapon development are explored. The role played by the nuclear dimension in the Arab-Israeli conflict and in the Middle east peace process constitutes a third area to be discussed. The paper then examines the intended and actual functions of Israel's threshold posture, before concluding with an analysis of some of the implications for arms control
Energy Technology Data Exchange (ETDEWEB)
Messite, J.; Fannick, N.L.
1978-07-01
In response to a request from a representative of the nursing staff, an investigation was made of possible methadone exposures at the Cumberland Outpatient Department of Beth Israel Hospital, Brooklyn, New York, a methadone-dispensing clinic. The distribution room measured 12 feet in all dimensions and was enclosed on three sides. Methadone had previously been received in prepackaged doses, but more recently the nurses had to count the contents of each 100-count bottle of methadone hydrochloride and separate tablets or diskets into individual doses. Nurses involved in dispensing the medication reported intermittent sleepiness, itching of the face, nose, and eyes, and dryness of skin on the hands and face. Urine studies indicated no detectable methadone or methadone metabolites at a limit of 1 microgram per milliliter. There is no evidence of methadone absorption; however, they recommend that skin contact with the tablets and diskets be kept to a minimum by use of instruments for moving the pills on the counting tray, frequent clean up of dust, and periodic hand washing.
Levkovich-Maslyuk, Fedor
2016-08-01
We give a pedagogical introduction to the Bethe ansatz techniques in integrable QFTs and spin chains. We first discuss and motivate the general framework of asymptotic Bethe ansatz for the spectrum of integrable QFTs in large volume, based on the exact S-matrix. Then we illustrate this method in several concrete theories. The first case we study is the SU(2) chiral Gross–Neveu model. We derive the Bethe equations via algebraic Bethe ansatz, solving in the process the Heisenberg XXX spin chain. We discuss this famous spin chain model in some detail, covering in particular the coordinate Bethe ansatz, some properties of Bethe states, and the classical scaling limit leading to finite-gap equations. Then we proceed to the more involved SU(3) chiral Gross–Neveu model and derive the Bethe equations using nested algebraic Bethe ansatz to solve the arising SU(3) spin chain. Finally we show how a method similar to the Bethe ansatz works in a completely different setting, namely for the 1D oscillator in quantum mechanics.
Genetics Home Reference: STING-associated vasculopathy with onset in infancy
... result from abnormally increased inflammation are known as autoinflammatory diseases. The signs and symptoms of SAVI begin ... management of SAVI: Beth Israel Deaconess Medical Center: Autoinflammatory Disease Center Eurofever Project Genetic Testing Registry: Sting- ...
Gottfried, Kurt
2005-01-01
"There are a handful of people who soar, whose accompalishments are so off-scale as to nearly defy belief. Hans Bethe (2 July 1906 - 6 March 2005) was of that caliber. As just one measure of his stature, imagine the task of copying his published opus by hand, for that is how he wrote most of it" (2 pages)
Gaudin, Michel
2014-01-01
Michel Gaudin's book La fonction d'onde de Bethe is a uniquely influential masterpiece on exactly solvable models of quantum mechanics and statistical physics. Available in English for the first time, this translation brings his classic work to a new generation of graduate students and researchers in physics. It presents a mixture of mathematics interspersed with powerful physical intuition, retaining the author's unmistakably honest tone. The book begins with the Heisenberg spin chain, starting from the coordinate Bethe Ansatz and culminating in a discussion of its thermodynamic properties. Delta-interacting bosons (the Lieb-Liniger model) are then explored, and extended to exactly solvable models associated to a reflection group. After discussing the continuum limit of spin chains, the book covers six- and eight-vertex models in extensive detail, from their lattice definition to their thermodynamics. Later chapters examine advanced topics such as multi-component delta-interacting systems, Gaudin magnets and...
Bernstein, Jeremy
2012-10-01
In 1937, two years after he moved to the US to escape Nazi persecution, the physicist Hans Bethe sent a letter to his mother in Germany. In it, he wrote, "I think I am about the leading theoretician in America. [Eugene] Wigner is certainly better and [Robert] Oppenheimer and [Edward] Teller probably just as good. But I do more and talk more and that counts too."
Levkovich-Maslyuk, Fedor
2016-01-01
We give a pedagogical introduction to the Bethe ansatz techniques in integrable QFTs and spin chains. We first discuss and motivate the general framework of asymptotic Bethe ansatz for the spectrum of integrable QFTs in large volume, based on the exact S-matrix. Then we illustrate this method in several concrete theories. The first case we study is the SU(2) chiral Gross-Neveu model. We derive the Bethe equations via algebraic Bethe ansatz, solving in the process the Heisenberg XXX spin chain. We discuss this famous spin chain model in some detail, covering in particular the coordinate Bethe ansatz, some properties of Bethe states, and the classical scaling limit leading to finite-gap equations. Then we proceed to the more involved SU(3) chiral Gross-Neveu model and derive the Bethe equations using nested algebraic Bethe ansatz to solve the arising SU(3) spin chain. Finally we show how a method similar to the Bethe ansatz works in a completley different setting, namely for the 1d oscillator in quantum mechani...
2013-01-01
The main aim of this thesis is to explore how Ushirika wa Neema Deaconess Centre contributes to the empowerment of women in the ELCT-Northern Diocese and fosters gender awareness in the church and community. It also explores challenges which the deaconesses face in the Chagga patriarchal society. The collection of data was based mostly on semi-structured interviews. People were interviewed orally using some questions to guide the interviews. An interview schedule was prepared with a list ...
Reinhart, T.
2006-01-01
For a whole week now, The Israeli army has been terrorizing cities and villages in the West Bank. As in the darkest days at the beginning of the present Intifada, desperate voices and reports pour through the internet, telling of massive shelling, including schools, hospitals, the university and a maternity house in Bethlehem, of curfew, houses being seized or destroyed, water tanks ruined in refugee camps. In Beit Reema, the site of Israel's latest show of horror, ambulances were not allowed...
Instantaneous Bethe-Salpeter equation
International Nuclear Information System (INIS)
We present a systematic algebraic and numerical investigation of the instantaneous Beth-Salpeter equation. Emphasis is placed on confining interaction kernels of the Lorentz scalar, time component vector, and full vector-types. We explore the stability of the solutions and Regge behavior for each of these interactions, and conclude that only time component vector confinement leads to normal Regge structure and stable solutions for all quark masses
Hans Bethe and the Global Energy Problems
Ioffe, B. L.
2005-01-01
Bethe's view-point on the global energy problems is presented. Bethe claimed that the nuclear power is a necessity in future. Nuclear energetic must be based on breeder reactors. Bethe considered the non-proliferation of nuclear weapons as the main problem of long-range future of nuclear energetics. The solution of this problem he saw in heavy water moderated thermal breeders, using uranium-233, uranium-238 and thorium as a fuel.
Botvin, J D
2001-01-01
Challenged by the requirements of managed care, Deaconess Billings Clinic resumed obstetrical services after 25 years. The resulting Family Birth Center is a "marketer's dream," with state-of-the-art facilities and an enviable model of care. The grand opening was highlighted by an open house, or "baby shower." The ongoing marketing campaign includes soft, sweet images of happy babies with their moms and dads. Memorable TV commercials emphasize the mother's comfort, the expertise of the medical staff, and the baby ... thoroughly enjoying the birth experience. PMID:11338363
Convexifying the Bethe Free Energy
Meshi, Ofer; Globerson, Amir; Friedman, Nir
2012-01-01
The introduction of loopy belief propagation (LBP) revitalized the application of graphical models in many domains. Many recent works present improvements on the basic LBP algorithm in an attempt to overcome convergence and local optima problems. Notable among these are convexified free energy approximations that lead to inference procedures with provable convergence and quality properties. However, empirically LBP still outperforms most of its convex variants in a variety of settings, as we also demonstrate here. Motivated by this fact we seek convexified free energies that directly approximate the Bethe free energy. We show that the proposed approximations compare favorably with state-of-the art convex free energy approximations.
Bethe vectors for XXX-spin chain
International Nuclear Information System (INIS)
The paper deals with algebraic Bethe ansatz for XXX-spin chain. Generators of Yang-Baxter algebra are expressed in basis of free fermions and used to calculate explicit form of Bethe vectors. Their relation to N-component models is used to prove conjecture about their form in general. Some remarks on inhomogeneous XXX-spin chain are included
Bethe vectors for XXX-spin chain
Burdík, Čestmír; Fuksa, Jan; Isaev, Alexei
2014-11-01
The paper deals with algebraic Bethe ansatz for XXX-spin chain. Generators of Yang-Baxter algebra are expressed in basis of free fermions and used to calculate explicit form of Bethe vectors. Their relation to N-component models is used to prove conjecture about their form in general. Some remarks on inhomogeneous XXX-spin chain are included.
International Nuclear Information System (INIS)
The first part of this book is a literary portrait of the great natural scientist. The book was the result of a number of personal meetings, telephone interviews and letters exchanged, which began in 1977 and lasted two years. Bethes work comprises so many aspects of modern physics and astrophysics that only a fat encyclopedia could do him justice. The author hopes to convey at least an idea of the tremendous scope of this work. But the main theme in the article in 'The New Yorker' and in the resulting book is a discussion about energy. The importance of the energy problem is such that it completely penetrates science and politics. Thus, the third chapter is concerned with energy-political options, the catastrophe of and radioactivity after Chernobyl, and the development of concepts of reactor safety. (orig./HSCH)
Colored Quantum Algebra and Its Bethe State
International Nuclear Information System (INIS)
We investigate the colored Yang—Baxter equation. Based on a trigonometric solution of colored Yang—Baxter equation, we construct a colored quantum algebra. Moreover we discuss its algebraic Bethe ansatz state and highest wight representation. (general)
Bethe's quantum numbers and rigged configurations
Directory of Open Access Journals (Sweden)
Anatol N. Kirillov
2016-04-01
Full Text Available We propose a method to determine the quantum numbers, which we call the rigged configurations, for the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg model under the periodic boundary condition. Our method is based on the observation that the sums of Bethe's quantum numbers within each string behave particularly nicely. We confirm our procedure for all solutions for length 12 chain (totally 923 solutions.
Bethe's quantum numbers and rigged configurations
Kirillov, Anatol N.; Sakamoto, Reiho
2016-01-01
We propose a method to determine the quantum numbers, which we call the rigged configurations, for the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg model under the periodic boundary condition. Our method is based on the observation that the sums of Bethe's quantum numbers within each string behave particularly nicely. We confirm our procedure for all solutions for length 12 chain (totally 923 solutions).
Bethe vectors in GL(3)-based quantum integrable models
Pakuliak, S; Slavnov, N A
2015-01-01
We consider a composite generalized quantum integrable model solvable by the nested algebraic Bethe ansatz. Using explicit formulas of the action of the monodromy matrix elements onto Bethe vectors in the GL(3)-based quantum integrable models we prove a formula for the Bethe vectors of composite model. We show that this representation is a particular case of general coproduct property of the weight functions (Bethe vectors) found in the theory of the deformed Knizhnik--Zamolodchokov equation.
Bethe vectors of GL(3)-invariant integrable models
International Nuclear Information System (INIS)
We study GL(3)-invariant integrable models solvable by the nested algebraic Bethe ansatz. Different formulas are given for the Bethe vectors and the actions of the generators of the Yangian Y(gl3) on the Bethe vectors are considered. These actions are relevant for the calculation of correlation functions and form factors of local operators of the underlying quantum models. (paper)
The Yangians, Bethe ansatz and combinatorics
International Nuclear Information System (INIS)
An axiomatic definition of a quantum monodromy matrix and the representations of its corresponding Hopf algebra are discussed. The connection between the quantum inverse transform method and the representation theory of a symmetric group is considered. A new approach to the completeness problem of Bethe vectors is also given. (orig.)
Obituary: Hans Albrecht Bethe, 1906-2005
R. Wijers
2007-01-01
One of the unquestioned giants of physics and astrophysics, Hans Bethe, died on 6 March 2005, at the venerable age of 98, in his home town of Ithaca, New York. Seven decades of contributing to research and a Nobel Prize for his work on stellar hydrogen burning make a listing of his honors superfluou
Twisting singular solutions of Bethe's equations
Nepomechie, Rafael I
2014-01-01
The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.
Obituary: Hans Albrecht Bethe, 1906-2005
Wijers, Ralph
2007-12-01
One of the unquestioned giants of physics and astrophysics, Hans Bethe, died on 6 March 2005, at the venerable age of 98, in his home town of Ithaca, New York. Seven decades of contributing to research and a Nobel Prize for his work on stellar hydrogen burning make a listing of his honors superfluous (besides being impossible in this space). Bethe was born in Strassburg, in then German Alsass Lothringen, on 2 July 1906. His father, Albrecht Julius Bethe (1872-1954), taught physiology at the University, and his mother, Anna Kuhn (1876-1966), was a musician and writer. Both his grandfathers were physicians. He spent his youth in Strassburg, Kiel, and Frankfurt, and some time in sanatoria due to tuberculosis. Hans's first scientific paper, at age 18, was with his father and a colleague, on dialysis. His education and early career in Germany brought him into contact with many top stars in the quantum revolution. Starting in Frankfurt in chemistry, Bethe soon switched to physics, taught there by Walter Gerlach and Karl Meissner, among others. In 1926, he successfully applied to join Arnold Sommerfeld's group in Munich, where he met one of his later long-term collaborators, Rudolf Peierls. Bethe considered his entry into physics to have come at an ideal time, with the new ideas of wave mechanics being developed and discussed right there; it was certainly also at an ideal place. His doctoral thesis was on the theory of electron diffraction by crystals, following the experimental work by Clinton Davisson and Lester Germer and the work on X-ray diffraction by Max von Laue and Paul Ewald. The newly minted doctor went from there briefly to Frankfurt and then to Ewald in Stuttgart, where he felt at home academically and personally. In 1939, Bethe would marry Ewald's daughter Rose. Not much later, though, Sommerfeld recalled him to Munich, where Sommerfeld created a Privatdozent position for him. There he worked out the solution for a linear chain of coupled spins by what we
Directory of Open Access Journals (Sweden)
John Mearsheimer
2006-11-01
Full Text Available O cerne da política dos Estados Unidos no Oriente Médio deriva das atividades do "Lobby de Israel", que conseguiu desviá-la para longe do interesse nacional e convencer os americanos de que os interesses dos Estados Unidos e os de Israel são idênticos. O artigo sustenta que estratégias comuns ou imperativos morais inarredáveis não são explicações suficientes para explicar o notável nível de apoio material e diplomático fornecido pelos Estados Unidos.The thrust of US Middle Eastern policy derives from the activities of the "Israel Lobby", which has managed to divert it as far from what the national interest would suggest, convincing Americans that US interests and those of Israel are identical. The article states that neither shared strategic interests nor compelling moral imperatives can account for the remarkable level of material and diplomatic support provided to Israel by US government.
Introduction to the thermodynamic Bethe ansatz
van Tongeren, Stijn J
2016-01-01
We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the (asymptotic) Bethe ansatz. We set the stage by deriving the Fermi-Dirac distribution and associated free energy of free electrons, and then in a similar though technically more complicated fashion treat the thermodynamics of integrable models, focusing on the one dimensional Bose gas with delta function interaction as a clean pedagogical example, secondly the XXX spin chain as an elementary (lattice) model with prototypical complicating features in the form of bound states, and finally the SU(2) chiral Gross-Neveu model as a field theory example. Throughout this discussion we emphasize the central role of particle and hole densities, whose relations determine the model under consideration. We then discuss tricks that allow us to use the same methods to describe the exact spectra of integrable field theories on a circle, in particular ...
Landau levels from the Bethe Ansatz equations
Hoshi, K.; Hatsugai, Y.
2000-01-01
The Bethe ansatz (BA) equations for the two-dimensional Bloch electrons in a uniform magnetic field are treated in the weak-field limit. We have calculated energies near the lower boundary of the energy spectrum up to the first nontrivial order. It corresponds to calculating a finite size correction for the excitation energies of the BA solvable lattice models and gives the Landau levels in the present problem.
Landau Levels from the Bethe Ansatz Equations
Hoshi, K.; Hatsugai, Y.
1999-01-01
The Bethe ansatz (BA) equations for the two-dimensional Bloch electrons in a uniform magnetic field are treated in the weak field limit. We have calculated energies near the lower boundary of the energy spectrum up to the first nontrivial order. It corresponds to calculating a finite size correction for the excitation energies of the BA solvable lattice models and gives the Landau levels in the present problem.
Directory of Open Access Journals (Sweden)
O. V. Mayzel
2013-08-01
Full Text Available To get acquainted with the practice of inclusive education in mainstream schools, with professionals who work with special children, to visit the specialist centers to share experiences - all of this was part of an internship program «Early Childhood Education for Children with Special Needs», held in Israel (April 8 -02 May 2013 this year. The country has been selected for an internship, because the practice of inclusive education has been used for over 20 years in Israel. Moreover, a lot of attention is paid to the state program of early diagnosis and intervention "From prevention to inclusion" («From prevention to inclusion". The main principle of the system of education and medicine in Israel is -to give as much help to the child with special needs in early childhood, as possible , so he could be able to go to a regular school to 6 years.
International Monetary Fund
2015-01-01
This Selected Issues paper examines labor productivity in Israel. Israelâ€™s GDP per capita is low relative to the United States despite high labor input, as labor productivity is low. Catch-up of labor productivity to the United States stopped in the 1980s and relative labor productivity has since declined. Low labor productivity is the result of a low capital-to-labor ratioâ€”kept low by high employment growthâ€”and low total factor productivity growth. The latter may reflect lack of compet...
Matrix coordinate Bethe Ansatz: applications to XXZ and ASEP models
International Nuclear Information System (INIS)
We present the construction of the full set of eigenvectors of the open asymmetric simple exclusion process (ASEP) and XXZ models with special constraints on the boundaries. The method combines both recent constructions of coordinate Bethe Ansatz and the old method of matrix Ansatz specific to the ASEP. This 'matrix coordinate Bethe Ansatz' can be viewed as a non-commutative coordinate Bethe Ansatz, the non-commutative part being related to the algebra appearing in the matrix Ansatz. (paper)
Spolsky, Bernard
1997-01-01
Israel is fertile ground for research in multilingualism. Revitalization of Hebrew resulted in a tendency for ideological and instrumentally-motivated monolingualism to replace earlier multilingual patterns, even in the context of pressure for language shift by Arabic, Russian, Yiddish, and other languages, and Hebrew's competition with English in…
Graph optimization problems on a Bethe lattice
de Oliveira, Mário J.
1989-01-01
The p-partitioning and p-coloring problems on a Bethe lattice of coordination number z are analyzed. It is shown that these two NP-complete optimization problems turn out to be equivalent to finding the ground-state energy of p-state Potts models with frustration. Numerical calculation of the cost function of both problems are carried out for several values of z and p. In the case of p=2 the results are identical to those obtained by Mézard and Parisi for the case of the bipartitioning problem. A numerical upper bound to the chromatic number is found for several values of z.
Introduction to the thermodynamic Bethe ansatz
van Tongeren, Stijn J.
2016-08-01
We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the (asymptotic) Bethe ansatz. We set the stage by deriving the Fermi–Dirac distribution and associated free energy of free electrons, and then in a similar though technically more complicated fashion treat the thermodynamics of integrable models, focusing first on the one-dimensional Bose gas with delta function interaction as a clean pedagogical example, secondly the XXX spin chain as an elementary (lattice) model with prototypical complicating features in the form of bound states, and finally the {SU}(2) chiral Gross–Neveu model as a field theory example. Throughout this discussion we emphasize the central role of particle and hole densities, whose relations determine the model under consideration. We then discuss tricks that allow us to use the same methods to describe the exact spectra of integrable field theories on a circle, in particular the chiral Gross–Neveu model. We moreover discuss the simplification of TBA equations to Y systems, including the transition back to integral equations given sufficient analyticity data, in simple examples.
Continuous representations of scalar products of Bethe vectors
Galleas, W
2016-01-01
We present families of single determinantal representations of on-shell scalar products of Bethe vectors. Our families of representations are parameterized by a continuous complex variable which can be fixed at convenience. Here we consider Bethe vectors in two versions of the six-vertex model: the case with boundary twists and the case with open boundaries.
Overlaps of Partial Neel States and Bethe States
Foda, O
2015-01-01
Partial Neel states are generalizations of the ordinary Neel (classical anti-ferromagnet) state that can have arbitrary integer spin. We study overlaps of these states with Bethe states. We first identify this overlap with a partial version of reflecting-boundary domain-wall partition function, and then derive various determinant representations for off-shell and on-shell Bethe states.
Obituary: Beth Brown (1969-2008)
Bregman, Joel
2011-12-01
The astronomical community lost one of its most buoyant and caring individuals when Beth Brown died, unexpectedly, at the age of 39 from a pulmonary embolism. Beth Brown was born in Roanoke, Virginia where she developed a deep interest in astronomy, science, and science fiction (Star Trek). After graduating as the valedictorian of William Fleming High School's Class of 1987, she attended Howard University, where she graduated summa cum laude in 1991 with a bachelor's degree in astrophysics. Following a year in the graduate physics program at Howard, she entered the graduate program in the Department of Astronomy at the University of Michigan, the first African-American woman in the program. She received her PhD in 1998, working with X-ray observations of elliptical galaxies from the Röntgen Satellite (ROSAT; Joel Bregman was her advisor). She compiled and analyzed the first large complete sample of such galaxies with ROSAT and her papers in this area made an impact in the field. Following her PhD, Beth Brown held a National Academy of Science & National Research Council Postdoctoral Research Fellowship at NASA's Goddard Space Flight Center. Subsequently, she became a civil servant at the National Space Science Data Center at GSFC, where she was involved in data archival activities as well as education and outreach, a continuing passion in her life. In 2006, Brown became an Astrophysics Fellow at GSFC, during which time she worked as a visiting Assistant Professor at Howard University, where she taught and worked with students and faculty to improve the teaching observatory. At the time of her death, she was eagerly looking forward to a new position at GSFC as the Assistant Director for Science Communications and Higher Education. Beth Brown was a joyous individual who loved to work with people, especially in educating them about our remarkable field. Her warmth and openness was a great aid in making accessible explanations of otherwise daunting astrophysical
Dorit Amir
2001-01-01
This article describes the main discourse that I believe goes on in music therapy in Europe and other countries around the world: professional issues (registration, standards and licensing) and the development of research and cultural issues in music therapy. For the inaugural issue, I will focus mainly on music therapy in Israel. In the following issues of the journal, the focus will be on other European countries.
Directory of Open Access Journals (Sweden)
2007-12-01
Full Text Available The paper deals with poverty within Israel. Against the background of the history of pre-state Israel and the developments after the establishment of the State of Israel in 1948 the historical roots of Israeli poverty are analyzed. Thus the ‘socialist’-Zionist project, ethnic exclusion, religious and intra-Jewish ethnic lines of conflict as well as the Bedouins, Druzes and Israeli Arabs as ‘specific’ Israeli citizen are discussed. Despite the economic growth in Israel since 2003 ‘the majority of Israeli wage earners (over 60percent earned less than $1,450 a month last year’ (Goldstein 2007, p. 1. In 2004 1.3 million Israelis lived below the poverty line, a number which in 2005 increased to more than 1.5 million Israelis. In spite of growing economic prosperity the proportion of families belonging to the working-poor, i.e. families with at least one family member in paid employment, increased from 11.4 percent in 2004 to 12.2 percent in 2005. The percentage of poor families in the working population increased from 40.6 percent to 43.1 percent. Nearly 60 percent of the ‘working-poor’ were working fulltime (Sinai 2006a, Shaoul 2006. 42 percent of Israeli Arab families are living below the poverty line. The average wages are less than half the wages of Ashkenazi Jews. Every second Israeli Arab child lives in poverty. When in 1996 to 2001 the unemployment rate of the Jewish Israelis increased by about 53 percent, the unemployment rate of the Arab Israelis increased by 126 percent (cf. Shaoul 2006. 80 percent of Israelis regard themselves as poor. 23 percent of the pensioners are living below the poverty line. Poverty among children increased in 1988 to 2005 by about 50 percent. Approximately one fifth of all under-age children (714.000 in Israel are suffering from hunger (cf. Shaoul 2006. 75 percent of the poor families cannot afford medicine and 70 percent are dependant on food donations (cf. Sinai 2005b. Nearly one third of the
Cyclotomic Gaudin Models: Construction and Bethe Ansatz
Vicedo, Benoît; Young, Charles
2016-05-01
To any finite-dimensional simple Lie algebra g and automorphism {σ: gto g we associate a cyclotomic Gaudin algebra. This is a large commutative subalgebra of {U(g)^{⊗ N}} generated by a hierarchy of cyclotomic Gaudin Hamiltonians. It reduces to the Gaudin algebra in the special case {σ =id}. We go on to construct joint eigenvectors and their eigenvalues for this hierarchy of cyclotomic Gaudin Hamiltonians, in the case of a spin chain consisting of a tensor product of Verma modules. To do so we generalize an approach to the Bethe ansatz due to Feigin, Frenkel and Reshetikhin involving vertex algebras and the Wakimoto construction. As part of this construction, we make use of a theorem concerning cyclotomic coinvariants, which we prove in a companion paper. As a byproduct, we obtain a cyclotomic generalization of the Schechtman-Varchenko formula for the weight function.
Burstein, Chaya M.
This book examines the history, customs, language, crafts, recipes, geography, and music of Israel. Written in a format that appeals to juvenile readers, the book contains stories, facts, legends, photographs, maps, and illustrations to enhance the text. The 17 chapters include: (1) "All Around Israel"; (2) "A Mishmash of People": (3) "Kids in…
Rosen, Bruce; Waitzberg, Ruth; Merkur, Sherry
2015-12-01
Israel is a small country, with just over 8 million citizens and a modern market-based economy with a comparable level of gross domestic product per capita to the average in the European Union. It has had universal health coverage since the introduction of a progressively financed statutory health insurance system in 1995. All citizens can choose from among four competing, non-profit-making health plans, which are charged with providing a broad package of benefits stipulated by the government. Overall, the Israeli health care system is quite efficient. Health status levels are comparable to those of other developed countries, even though Israel spends a relatively low proportion of its gross domestic product on health care (less than 8%) and nearly 40% of that is privately financed. Factors contributing to system efficiency include regulated competition among the health plans, tight regulatory controls on the supply of hospital beds, accessible and professional primary care and a well-developed system of electronic health records. Israeli health care has also demonstrated a remarkable capacity to innovate, improve, establish goals, be tenacious and prioritize. Israel is in the midst of numerous health reform efforts. The health insurance benefits package has been extended to include mental health care and dental care for children. A multipronged effort is underway to reduce health inequalities. National projects have been launched to measure and improve the quality of hospital care and reduce surgical waiting times, along with greater public dissemination of comparative performance data. Major steps are also being taken to address projected shortages of physicians and nurses. One of the major challenges currently facing Israeli health care is the growing reliance on private financing, with potentially deleterious effects for equity and efficiency. Efforts are currently underway to expand public financing, improve the efficiency of the public system and constrain
International Nuclear Information System (INIS)
The state of Israel has been a pioneer in the solar energy development and utilization since it was founded. In the 50's solar domestic home heaters became commercially available. At the same time research work has been started in different areas of solar energy, which led to more advanced solar systems for additional applications. The presentation includes some details of commercial utilization of solar energy and a brief description of the main Research and Development projects in industry, universities and research institutes. (authors)
Matrix coordinate Bethe Ansatz: applications to XXZ and ASEP models
Energy Technology Data Exchange (ETDEWEB)
Crampe, N [Laboratoire Charles Coulomb, UMR 5221, Universite Montpellier 2, F-34095 Montpellier (France); Ragoucy, E [Laboratoire de Physique Theorique LAPTH, CNRS and Universite de Savoie, 9 chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux Cedex (France); Simon, D, E-mail: nicolas.crampe@univ-montp2.fr, E-mail: ragoucy@lapp.in2p3.fr, E-mail: damien.simon@upmc.fr [LPMA, Universite Pierre et Marie Curie, Case Courrier 188, 4 place Jussieu, 75252 Paris Cedex 05 (France)
2011-10-07
We present the construction of the full set of eigenvectors of the open asymmetric simple exclusion process (ASEP) and XXZ models with special constraints on the boundaries. The method combines both recent constructions of coordinate Bethe Ansatz and the old method of matrix Ansatz specific to the ASEP. This 'matrix coordinate Bethe Ansatz' can be viewed as a non-commutative coordinate Bethe Ansatz, the non-commutative part being related to the algebra appearing in the matrix Ansatz. (paper)
Two-body bound states & the Bethe-Salpeter equation
Energy Technology Data Exchange (ETDEWEB)
Pichowsky, M. [Argonne National Lab., IL (United States); Kennedy, M. [Univ. of New Hampshire, Durham, NH (United States). Physics Dept.; Strickland, M. [Duke Univ., Durham, NC (United States)
1995-01-18
The Bethe-Salpeter formalism is used to study two-body bound states within a scalar theory: two scalar fields interacting via the exchange of a third massless scalar field. The Schwinger-Dyson equation is derived using functional and diagrammatic techniques, and the Bethe-Salpeter equation is obtained in an analogous way, showing it to be a two-particle generalization of the Schwinger-Dyson equation. The authors also present a numerical method for solving the Bethe-Salpeter equation without three-dimensional reduction. The ground and first excited state masses and wavefunctions are computed within the ladder approximation and space-like form factors are calculated.
Weinrauch, Larry
2009-01-01
John A D’Elia, Bijan Roshan, Manish Maski, Larry A WeinrauchJoslin Diabetes Center, Renal Unit, Beth Israel Deaconess Medical Center, Department of Medicine, Mount Auburn Hospital, Harvard Medical School, Boston and Cambridge, MassachusettsAbstract: Albuminuria in individuals whose body mass index exceeds 40 kg/m2 is associated with the presence of large glomeruli, thickened basement membrane and epithelial cellular (podocyte) distortion. Obstructive sleep apnea magnifies glomerular...
McIlduff CE; Rutkove SB
2011-01-01
Courtney E McIlduff, Seward B RutkoveDepartment of Neurology, Beth Israel Deaconess Medical Center, Boston, MA, USABackground: The most common of the neuropathies associated with diabetes mellitus, diabetic sensorimotor polyneuropathy (DSPN) is a syndrome of diffuse, length-dependent, symmetric nerve dysfunction. The condition is linked with substantial morbidity, frequent healthcare utilization, and compromised quality of life due to related discomfort. Correspondingly, antidepressants, anti...
B cell receptor pathway in chronic lymphocytic leukemia: specific role of CC-292
Arnason JE; Brown JR
2014-01-01
Jon E Arnason,1 Jennifer R Brown21Beth Israel Deaconess Medical Center, 2CLL Center, Department of Medical Oncology, Dana-Farber Cancer Institute, Harvard Medical School, Boston, MA, USAAbstract: Chronic lymphocytic leukemia (CLL) is the most common adult leukemia. The current treatment paradigm involves the use of chemoimmunotherapy, when patients develop an indication for therapy. With this strategy, a majority of patients will obtain a remission, though cure remains elusive. While treatabl...
Postoperative pulmonary embolism in a three year old with Klippel–Trenaunay syndrome
Jana Hudcova; Monica Kleinman; Daniel Talmor
2009-01-01
Jana Hudcova1, Monica Kleinman2, Daniel Talmor11Department of Anesthesia, Critical Care and Pain Medicine, Beth Israel Deaconess Medical Center and Harvard Medical School, Boston, MA, USA; 2Department of Anesthesia, Division of Critical Care Medicine, Children’s Hospital Boston and Harvard Medical School, Boston, MA, USAAbstract: Massive pulmonary embolism (PE) in a small child is a rare event and unified guidelines for its treatment are missing. Timely diagnosis and management of m...
Prostanoid therapies in the management of pulmonary arterial hypertension
LeVarge, Barbara
2015-01-01
Barbara L LeVarge Department of Pulmonary and Critical Care Medicine, Beth Israel Deaconess Medical Center, Boston, MA, USA Abstract: Prostacyclin is an endogenous eicosanoid produced by endothelial cells; through actions on vascular smooth-muscle cells, it promotes vasodilation. Pulmonary arterial hypertension (PAH) is characterized by elevated mean pulmonary artery pressure due to a high pulmonary vascular resistance state. A relative decrease in prostacyclin presence has been associated ...
James AH; Konkle BA; Bauer KA
2013-01-01
Andra H James,1 Barbara A Konkle,2,3 Kenneth A Bauer4 1Department of Obstetrics and Gynecology, University of Virginia, Charlottesville, Virginia, 2Puget Sound Blood Center, Seattle, Washington, 3Department of Medicine, University of Washington, Seattle, Washington, 4Department of Medicine, Beth Israel Deaconess Medical Center and VA Boston Healthcare System, Harvard Medical School, Boston, Massachusetts, USA Objective: The aims of the study reported here were to provide data from six pregnan...
Norm of Bethe Wave Function as a Determinant
Korepin, Vladimir E
2009-01-01
This is a historical note. Bethe Ansatz solvable models are considered, for example XXZ Heisenberg anti-ferromagnet and Bose gas with delta interaction. Periodic boundary conditions lead to Bethe equation. The square of the norm of Bethe wave function is equal to a determinant of linearized system of Bethe equations (determinant of matrix of second derivatives of Yang action). The proof was first published in Communications in Mathematical Physics, vol 86, page 391 in l982. Also domain wall boundary conditions for 6 vertex model were discovered in the same paper [see Appendix D]. These play an important role for algebraic combinatorics: alternating sign matrices, domino tiling and plane partition. Many publications are devoted to six vertex model with domain wall boundary conditions.
Twisted Bethe equations from a twisted S-matrix
Ahn, Changrim; Bombardelli, Diego; Nepomechie, Rafael I
2010-01-01
All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS5/CFT4 have been proposed by Beisert and Roiban. We propose a Drinfeld twist of the AdS5/CFT4 S-matrix, together with c-number diagonal twists of the boundary conditions, from which we derive these Bethe equations. Although the undeformed S-matrix factorizes into a product of two su(2|2) factors, the deformed S-matrix cannot be so factored. Diagonalization of the corresponding transfer matrix requires a generalization of the conventional algebraic Bethe ansatz approach, which we first illustrate for the simpler case of the twisted su(2) principal chiral model. We also demonstrate that the same twisted Bethe equations can alternatively be derived using instead untwisted S-matrices and boundary conditions with operatorial twists.
Off-diagonal Bethe ansatz for exactly solvable models
International Nuclear Information System (INIS)
This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.
Bethe Ansatz for the Ruijsenaars Model of BC_1-Type
Directory of Open Access Journals (Sweden)
Oleg Chalykh
2007-02-01
Full Text Available We consider one-dimensional elliptic Ruijsenaars model of type $BC_1$. It is given by a three-term difference Schrödinger operator $L$ containing 8 coupling constants. We show that when all coupling constants are integers, $L$ has meromorphic eigenfunctions expressed by a variant of Bethe ansatz. This result generalizes the Bethe ansatz formulas known in the $A_1$-case.
Modified Bethe-Weizsaecker mass formula for hypernuclei
International Nuclear Information System (INIS)
The Bethe-Weizsaecker mass formula originally designed to reproduce the gross features of nuclear binding energies for medium and heavy mass nuclei, fails for light nuclei especially away from the line of stability. To alleviate this problem a modified Bethe-Weizsaecker mass formula was suggested which explained the gross features of the binding energy versus neutron number curves of all the elements from Li to Bi
Nuclear forces the making of the physicist Hans Bethe
Schweber, Silvan S
2012-01-01
On the fiftieth anniversary of Hiroshima, Nobel-winning physicist Hans Bethe called on his fellow scientists to stop working on weapons of mass destruction. What drove Bethe, the head of Theoretical Physics at Los Alamos during the Manhattan Project, to renounce the weaponry he had once worked so tirelessly to create? That is one of the questions answered by "Nuclear Forces", a riveting biography of Bethe's early life and development as both a scientist and a man of principle. As Silvan Schweber follows Bethe from his childhood in Germany, to laboratories in Italy and England, and on to Cornell University, he shows how these differing environments were reflected in the kind of physics Bethe produced. Many of the young quantum physicists in the 1930s, including Bethe, had Jewish roots, and Schweber considers how Liberal Judaism in Germany helps explain their remarkable contributions. A portrait emerges of a man whose strategy for staying on top of a deeply hierarchical field was to tackle only those problems h...
International Nuclear Information System (INIS)
For the first time this report includes a chapter entitles 'energy and peace'. Following is an overview of israel's energy economy and some principal initiatives in its various sectors during 1992/93 period. 46 figs, 13 tabs
Ising spin glass on Bethe-like lattices
International Nuclear Information System (INIS)
Ising spin glass on Bethe-like lattices is studied focusing on the replica symmetry breaking near the spin glass transition temperature. To see the frustration effects of small loops, spin glass order parameter functions and the de Almeida-Thouless (AT) lines in small magnetic fields are obtained for the Bethe-like cactus lattices. As approximations for realistic short range models, they are compared with the results for the Bethe lattice without small loops to see the effects of the loops. Triangular, tetrahedral and square cactus lattices are studied. The slope of the spin glass order parameter function for a cactus lattice is smaller than the corresponding one for the Bethe lattice. The replica symmetry breaking region in fields for the cactus lattice is larger than that for the corresponding Bethe lattice except for the smallest number of connectivity of the loops in the triangular and tetrahedral cactus lattices. To obtain the results, an equation among quantities that are related to the spin glass order parameter is used. This equation is shown to be related to an equation derived within a cluster approximation without using replicas. (author)
Selected Works Of Hans A Bethe (With Commentary)
International Nuclear Information System (INIS)
Hans A Bethe received the Nobel Prize for Physics in 1967 for his work on the production of energy in stars. A living legend among the physics community, he helped to shape classical physics into quantum physics and increased the understanding of the atomic processes responsible for the properties of matter and of the forces governing the structures of atomic nuclei. This collection of papers by Prof Bethe dates from 1928, when he received his PhD, to now. It covers several areas and reflects the many contributions in research and discovery made by one of the most important and eminent physicists of all time. Special commentaries have been written by Prof Bethe to complement the selected papers
Integrable achiral D5-brane reflections and asymptotic Bethe equations
Correa, Diego H; Young, Charles A S
2011-01-01
We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations of the D5-brane with respect to the reference vacuum state, namely vacuum states aligned along "vertical" and "horizontal" directions. We show that the reflections are of the achiral type. We also show that the reflection matrices satisfy the boundary Yang-Baxter equations for both orientations. In the horizontal case the reflection matrix can be interpreted in terms of a bulk S-matrix, S(p, -p), and factorizability of boundary scattering therefore follows from that of bulk scattering. Finally, we solve the nested coordinate Bethe ansatz for the system in the vertical case to find the Bethe equations. In the horizontal case, the Bethe equations are of the same form as those for the closed string.
Staten Israels oprettelse gav genlyd i folkekirken
DEFF Research Database (Denmark)
Lausten, Martin Schwarz
2008-01-01
Reaktioner i Indre Mission, Den danske Israelsmission og hos Grubndtvigianere på zionisme og staten Israels oprettelse.......Reaktioner i Indre Mission, Den danske Israelsmission og hos Grubndtvigianere på zionisme og staten Israels oprettelse....
Constrained variational results for the new Bethe homework problem
International Nuclear Information System (INIS)
Bethe has proposed two model N-N interactions, one containing a central plus sigma1.sigma2 spin dependence and the other containing in addition a tensor force, to study the convergence of various many-body techniques for calculating the bulk properties of many fermion fluids. Following the success of using constrained variational calculations in describing the behaviour of the original Bethe homework problem involving a purely central interaction, results in neutron matter and nuclear matter for the new spin-dependent potentials, are here presented. (author)
Improved Numerical Generalization of Bethe- Weizsacker Mass Formula
Mavrodiev, Strachimir
2016-01-01
In this paper is presented explicit improved numerical generalization of Bethe-Weizsacker mass formulae which describes the values of measured 2654 nuclear mass in AME2012 nuclear database with accuracy less than 2.2 MeV, starting from the number of protons Z=1 and number of neutrons N=1. In the obtained generazation of the Bethe-Weizsacker formula the influence of magic numbers and boundaries of their influence between them is defined for nine proton (2, 8, 14, 20, 28, 50, 82, 108, 124) and ten neutron (2, 8, 14, 20, 28, 50, 82, 124, 152, 202) magic numbers.
Nested Bethe ansatz for "all" closed spin chains
Belliard, S.; Ragoucy, E.
2008-01-01
We present in an unified and detailed way the Nested Bethe Ansatz for closed spin chains based on Y(gl(n)), Y(gl(m|n)), U_q(gl(n)) or U_q(gl(m|n)) (super)algebras, with arbitrary representations (i.e. `spins') on each site of the chain. In particular, the case of indecomposable representations of superalgebras is studied. The construction extends and unifies the results already obtained for spin chains based on Y(gl(n)) or U_q(gl(n)) and for some particular super-spin chains. We give the Beth...
Energy Technology Data Exchange (ETDEWEB)
Bracken, Anthony J.; Ge Xiangyu; Gould, Mark D.; Links, Jon; Zhou Huanqiang [Centre for Mathematical Physics, University of Queensland, Brisbane, QLD (Australia)
2001-06-01
Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded quantum inverse scattering method. The Bethe ansatz equations for all these models are derived by using the algebraic Bethe ansatz method. (author)
Algebraic Bethe ansatz for 19-vertex models with upper triangular K-matrices
International Nuclear Information System (INIS)
By means of an algebraic Bethe ansatz approach, we study the Zamolodchikov–Fateev and Izergin–Korepin vertex models with non-diagonal boundaries, characterized by reflection matrices with an upper triangular form. Generalized Bethe vectors are used to diagonalize the associated transfer matrix. The eigenvalues as well as the Bethe equations are presented. (paper)
Bethe states of the integrable spin-s chain with generic open boundaries
International Nuclear Information System (INIS)
Based on the inhomogeneous T –Q relation and the associated Bethe ansatz equations obtained via the off-diagonal Bethe ansatz, we construct the Bethe-type eigenstates of the SU(2)-invariant spin-s chain with generic non-diagonal boundaries by employing certain orthogonal basis of the Hilbert space. (paper)
Algebraic Bethe Ansatz for Open XXX Model with Triangular Boundary Matrices
Belliard, Samuel; Crampé, Nicolas; Ragoucy, Eric
2013-05-01
We consider an open XXX spin chain with two general boundary matrices whose entries obey a relation, which is equivalent to the possibility to put simultaneously the two matrices in a upper-triangular form. We construct Bethe vectors by means of a generalized algebraic Bethe ansatz. As usual, the method uses Bethe equations and provides transfer matrix eigenvalues.
Algebraic Bethe Ansatz for O(2N) sigma models with integrable diagonal boundaries
Gombor, Tamas
2015-01-01
The finite volume problem of O(2N) sigma models with integrable diagonal boundaries on a finite interval is investigated. The double row transfer matrix is diagonalized by Algebraic Bethe Ansatz. The boundary Bethe Yang equations for the particle rapidities and the accompanying Bethe Ansatz equations are derived.
On the algebraic Bethe ansatz: Periodic boundary conditions
Lima-Santos, A.
2006-01-01
In this paper, the algebraic Bethe ansatz with periodic boundary conditions is used to investigate trigonometric vertex models associated with the fundamental representations of the non-exceptional Lie algebras. This formulation allow us to present explicit expressions for the eigenvectors and eigenvalues of the respective transfer matrices.
Coordinate Bethe Ansatz for Spin s XXX Model
Nicolas Crampé; Eric Ragoucy; Ludovic Alonzi
2010-01-01
We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has been obtained for spin 1/2 and spin 1 chains.
Pionierin der Religionspsychologie: Marianne Beth (1890-1984)
J.A. Belzen
2010-01-01
This article deals with the contributions to the psychology of religion made by Dr. Marianne Beth (1890-1984), an almost totally forgotten pioneer of the psychology of religion. The article especially contextualizes her initiative to turn "unbelief" into a topic for research in psychology of religio
Regge behaviour within the Bethe-Salpeter approach
Kubrak, Stanislav; Williams, Richard
2014-01-01
We present a calculation of the spectrum of light and heavy quark bound states in the rainbow-ladder truncation of Dyson-Schwinger/Bethe-Salpeter equations. By extending the formalism include the case of total angular momentum J=3, we are able to explore Regge trajectories and make prediction of tensor bound states for light and heavy quarkonia.
Characters in Conformal Field Theories from Thermodynamic Bethe Ansatz
Kuniba, A.; Nakanishi, T; Suzuki, J.
1993-01-01
We propose a new $q$-series formula for a character of parafermion conformal field theories associated to arbitrary non-twisted affine Lie algebra $\\widehat{g}$. We show its natural origin from a thermodynamic Bethe ansatz analysis including chemical potentials.
Directory of Open Access Journals (Sweden)
Christine Leuenberger
2012-01-01
studies and the sociology of knowledge in order to analyze the social context of map-making and the content and structure of maps. The focus is on how and why British, American, and Arab online news outlets depict the contested territories of Israel and the Palestinian Territories in often varied and inconsistent ways. Certain online news sources have been accused of political biases concerning the Israeli-Palestinian conflict, which arguably translates into particular maps and map layers being included in news stories. Rather than they are being a direct and pre-determined link between map-choice and politics, however, I argue that map-making can be understood as a form of ‘situated’ practice. In other words, the newsroom brings together various actors, materials, technologies and resources that enable and constrain certain activities. It is therefore local cultures, social and interactional contingencies, and institutional and political circumstances that impact map-making and explain how and why maps may converge with or diverge from politics at any given time and place. At the same time, the choice of certain maps and map layers in terms of their focus, content, design, and detail is inevitably selective and can hereby become politically meaningful. It is thus the various textual and visual signifiers and the contextual information included in a map that can become politics by other means. Moreover, the types and sources of news stories and their maps are also co-determined by power politics, the structural inequities between the state of Israel and a Palestinian state-in-the-making, and their respective ease of access to public relations infrastructures that can reach the public at large.
Language and Citizenship in Israel
Shohamy, Elana; Kanza, Tzahi
2009-01-01
This article discusses citizenship policies in Israel within the context of language, ideology, and nationalism. According to the "Law of Return", Jewish immigrants are entitled to be granted citizenship with no prior conditions; Arabs who were living in Palestine in 1948 (the time the state was founded) and their children are entitled to…
Milman, Vitali
1991-01-01
The scope of the Israel seminar in geometric aspects of functional analysis during the academic year 89/90 was particularly wide covering topics as diverse as: Dynamical systems, Quantum chaos, Convex sets in Rn, Harmonic analysis and Banach space theory. The large majority of the papers are original research papers.
International Nuclear Information System (INIS)
The solar energy is an important characteristic of Israel, listed in its history and its development. This document presents the solar energy applications in the country in many domains: the solar energy for residential houses, the applications in the agricultural and industrial sectors and the research and development programs. (A.L.B.)
Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
Cirilo António, N.; Manojlović, N.; Salom, I.
2014-12-01
We implement fully the algebraic Bethe ansatz for the XXX Heisenberg spin chain in the case when both boundary matrices can be brought to the upper-triangular form. We define the Bethe vectors which yield the strikingly simple expression for the off shell action of the transfer matrix, deriving the spectrum and the relevant Bethe equations. We explore further these results by obtaining the off shell action of the generating function of the Gaudin Hamiltonians on the corresponding Bethe vectors through the so-called quasi-classical limit. Moreover, this action is as simple as it could possibly be, yielding the spectrum and the Bethe equations of the Gaudin model.
Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
Energy Technology Data Exchange (ETDEWEB)
Cirilo António, N., E-mail: nantonio@math.ist.utl.pt [Centro de Análise Funcional e Aplicações, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa (Portugal); Manojlović, N., E-mail: nmanoj@ualg.pt [Grupo de Física Matemática da Universidade de Lisboa, Av. Prof. Gama Pinto 2, PT-1649-003 Lisboa (Portugal); Departamento de Matemática, F.C.T., Universidade do Algarve, Campus de Gambelas, PT-8005-139 Faro (Portugal); Salom, I., E-mail: isalom@ipb.ac.rs [Institute of Physics, University of Belgrade, P.O. Box 57, 11080 Belgrade (Serbia)
2014-12-15
We implement fully the algebraic Bethe ansatz for the XXX Heisenberg spin chain in the case when both boundary matrices can be brought to the upper-triangular form. We define the Bethe vectors which yield the strikingly simple expression for the off shell action of the transfer matrix, deriving the spectrum and the relevant Bethe equations. We explore further these results by obtaining the off shell action of the generating function of the Gaudin Hamiltonians on the corresponding Bethe vectors through the so-called quasi-classical limit. Moreover, this action is as simple as it could possibly be, yielding the spectrum and the Bethe equations of the Gaudin model.
Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
International Nuclear Information System (INIS)
We implement fully the algebraic Bethe ansatz for the XXX Heisenberg spin chain in the case when both boundary matrices can be brought to the upper-triangular form. We define the Bethe vectors which yield the strikingly simple expression for the off shell action of the transfer matrix, deriving the spectrum and the relevant Bethe equations. We explore further these results by obtaining the off shell action of the generating function of the Gaudin Hamiltonians on the corresponding Bethe vectors through the so-called quasi-classical limit. Moreover, this action is as simple as it could possibly be, yielding the spectrum and the Bethe equations of the Gaudin model
Bethe states of the XXZ spin-12 chain with arbitrary boundary fields
Directory of Open Access Journals (Sweden)
Xin Zhang
2015-04-01
Full Text Available Based on the inhomogeneous T−Q relation constructed via the off-diagonal Bethe Ansatz, the Bethe-type eigenstates of the XXZ spin-12 chain with arbitrary boundary fields are constructed. It is found that by employing two sets of gauge transformations, proper generators and reference state for constructing Bethe vectors can be obtained respectively. Given an inhomogeneous T−Q relation for an eigenvalue, it is proven that the resulting Bethe state is an eigenstate of the transfer matrix, provided that the parameters of the generators satisfy the associated Bethe Ansatz equations.
Hutsalyuk, A; Pakuliak, S Z; Ragoucy, E; Slavnov, N A
2016-01-01
We study integrable models with $\\mathfrak{gl}(2|1)$ symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vectors, when the Bethe parameters obey some relations weaker than the Bethe equations. This representation allows us to find the norms of on-shell Bethe vectors and obtain determinant formulas for form factors of the diagonal entries of the monodromy matrix.
Coordinate Bethe ANSÄTZE for Non-Diagonal Boundaries
Ragoucy, Eric
2013-11-01
Bethe ansatz goes back to 1931, when H. Bethe invented it to solve some one-dimensional models, such as XXX spin chain, proposed by W. Heisenberg in 1928. Although it is a very powerful method to compute eigenvalues and eigenvectors of the corresponding Hamiltonian, it can be applied only for very specific boundary conditions: periodic boundary ones, and so-called open-diagonal boundary ones. After reviewing this method, we will present a generalization of it that applies also to open-triangular boundary conditions. This short note presents only the basic ideas of the technique, and does not attend to give a general overview of the subject. Interested readers should refer to the original papers and references therein.
Bethe-Salpeter bound-state structure in Minkowski space
Gutierrez, C.; Gigante, V.; Frederico, T.; Salmè, G.; Viviani, M.; Tomio, Lauro
2016-08-01
The quantitative investigation of the scalar Bethe-Salpeter equation in Minkowski space, within the ladder-approximation framework, is extended to include the excited states. This study has been carried out for an interacting system composed by two massive bosons exchanging a massive scalar, by adopting (i) the Nakanishi integral representation of the Bethe-Salpeter amplitude, and (ii) the formally exact projection onto the null plane. Our analysis, on one hand, confirms the reliability of the method already applied to the ground state and, on the other one, extends the investigation from the valence distribution in momentum space to the corresponding quantity in the impact-parameter space, pointing out some relevant features, like (i) the equivalence between Minkowski and Euclidean transverse-momentum amplitudes, and (ii) the leading exponential fall-off of the valence wave function in the impact-parameter space.
Bethe-Salpeter bound-state structure in Minkowski space
Gutierrez, C; Frederico, T; Salmè, G; Viviani, M; Tomio, Lauro
2016-01-01
The quantitative investigation of the scalar Bethe-Salpeter equation in Minkowski space, within the ladder-approximation framework, is extended to include the excited states. This study has been carried out for an interacting system composed by two massive bosons exchanging a massive scalar, by adopting (i) the Nakanishi integral representation of the Bethe-Salpeter amplitude, and (ii) the formally exact projection onto the null plane. Our analysis, on one hand, confirms the reliability of the method already applied to the ground state and, on the other one, extends the investigation from the valence distribution in momentum space to the corresponding quantity in the impact-parameter space, pointing out some relevant features, like (i) the equivalence between Minkowski and Euclidean transverse-momentum amplitudes, and (ii) the leading exponential fall-off of the valence wave function in the impact-parameter space.
Glueball properties from the Bethe-Salpeter equation
International Nuclear Information System (INIS)
For over thirty years bound states of gluons are an outstanding problem of both theoretical and experimental physics. Being predicted by Quantum-Chromodynamics their experimental confirmation is one of the foremost goals of large experimental facilities currently under construction like FAIR in Darmstadt. This thesis presents a novel approach to the theoretical determination of physical properties of bound states of two gluons, called glueballs. It uses the consistent combination of Schwinger-Dyson equations for gluons and ghosts and appropriate Bethe-Salpeter equations describing their corresponding bound-states. A rigorous derivation of both sets of equations, starting from an 2PI effective action is given as well as a general determination of appropriate decompositions of Bethe-Salpeter amplitudes to a given set of quantum numbers of a glueball. As an application example bound state masses of glueballs in a simple truncation scheme are calculated. (orig.)
Covariant Bethe-Salpeter wave functions for heavy hadrons
International Nuclear Information System (INIS)
In recent years the dynamics of heavy mesons and baryons has considerably simplified by the development of the so-called heavy quark effective theory (HQET). A covariant formulation of heavy meson and heavy baryon decays in the leading order of the HQET is presented. The method is based on a Bethe-Salpeter formulation in the limit of the heavy quark mass going to infinity. 15 refs, 4 figs
On the Bethe approximation to the reactance matrix
International Nuclear Information System (INIS)
The Bethe approximation to the reactance matrix is considered for electron-neutral-atom collisions. Analytic expressions are given for the matrix elements. For the special case of electron-neutral-atom scattering the sum rules of Burgess are simplified. Particular consideration is given to the problem of calculating cross sections for dipole transitions. Partial cross sections are presented for all non-exact resonance dipole transitions between hydrogen atom states, with n, n' = 11, 31, 51, 71, 91. (author)
How algebraic Bethe ansatz works for integrable model
Fadeev, L
1996-01-01
I study the technique of Algebraic Bethe Ansatz for solving integrable models and show how it works in detail on the simplest example of spin 1/2 XXX magnetic chain. Several other models are treated more superficially, only the specific details are given. Several parameters, appearing in these generalizations: spin s, anisotropy parameter \\ga, shift \\om in the alternating chain, allow to include in our treatment most known examples of soliton theory, including relativistic model of Quantum Field Theory.
Bethe ansatz for higher spin eight vertex models
Takebe, T
1995-01-01
A generalization of the eight vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe Ansatz. Under the well-known string hypothesis low-lying excited states are considered and scattering phase shifts of two physical particles are calculated. The S matrix of two particle states is shown to be proportional to the Baxter's elliptic R matrix with a different elliptic modulus from the original one.
Excited charmonium states from Bethe-Salpeter Equation
Czech Academy of Sciences Publication Activity Database
Šauli, Vladimír; Bicudo, P.
2012-01-01
Roč. 7, 043 (2012), s. 1-10. ISSN 1824-8039. [International Workshop on QCD Green’s Functions. Tranto, 05.09.2011-09.09.2011] R&D Projects: GA MŠk(CZ) LG11005 Institutional research plan: CEZ:AV0Z10480505 Keywords : charmonium * Bethe-Salpeter Equation Subject RIV: BE - Theoretical Physics http://pos.sissa.it/archive/conferences/136/043/QCD- TNT -II_043.pdf
RPA equations and the instantaneous Bethe-Salpeter equation
Resag, J
1993-01-01
We give a derivation of the particle-hole RPA equations for an interacting multi-fermion system by applying the instantaneous approximation to the amputated two-fermion propagator of the system. In relativistic field theory the same approximation leads from the fermion-antifermion Bethe-Salpeter equation to the Salpeter equation. We show that RPA equations and Salpeter equation are indeed equivalent.
Multiplication factor in multiwire proportional chambers: a Bethe formulation
International Nuclear Information System (INIS)
This work presents a model describing the electronic gain for multiwire proportional chambers. An expression for the electronic multiplication is achieved through the ionization cross section of the filling gas by electron impact. The individual ionization process is considered as a transition into continuum and estimated by the Bethe formula. This model is compared to both experimental and semi-empirical previously reported data. ((orig.))
Bethe-Peierls approximation and the inverse Ising model
Nguyen, H. Chau; Berg, Johannes
2011-01-01
We apply the Bethe-Peierls approximation to the problem of the inverse Ising model and show how the linear response relation leads to a simple method to reconstruct couplings and fields of the Ising model. This reconstruction is exact on tree graphs, yet its computational expense is comparable to other mean-field methods. We compare the performance of this method to the independent-pair, naive mean- field, Thouless-Anderson-Palmer approximations, the Sessak-Monasson expansion, and susceptibil...
Bethe ansatz solvable multi-chain quantum systems
International Nuclear Information System (INIS)
In this article we review recent developments in the one-dimensional Bethe ansatz solvable multi-chain quantum models. The algebraic version of the Bethe ansatz (the quantum inverse scattering method) permits us to construct new families of integrable Hamiltonians using simple generalizations of the well known constructions of the single-chain model. First we consider the easiest example ('basic' model) of this class of models: the antiferromagnetic two-chain spin-1/2 model with the nearest-neighbour and next-nearest-neighbour spin-frustrating interactions (zigzag chain). We show how the algebra of the quantum inverse scattering method works for this model, and what are the important features of the Hamiltonian (which reveal the topological properties of two dimensions together with the one-dimensional properties). We consider the solution of the Bethe ansatz for the ground state (in particular, commensurate-incommensurate quantum phase transitions present due to competing spin-frustrating interactions are discussed) and construct the thermal Bethe ansatz (in the form of the 'quantum transfer matrix') for this model. Then possible generalizations of the basic model are considered: an inclusion of a magnetic anisotropy, higher-spin representations (including the important case of a quantum ferrimagnet), the multi-chain case, internal degrees of freedom of particles at each site, etc. We observe the similarities and differences between this class of models and related exactly solvable models: other groups of multi-chain lattice models, quantum field theory models and magnetic impurity (Kondo-like) models. Finally, the behaviour of non-integrable (less constrained) multi-chain quantum models is discussed. (author)
Loopy Belief Propagation, Bethe Free Energy and Graph Zeta Function
Watanabe, Yusuke
2011-01-01
We propose a new approach to the theoretical analysis of Loopy Belief Propagation (LBP) and the Bethe free energy (BFE) by establishing a formula to connect LBP and BFE with a graph zeta function. The proposed approach is applicable to a wide class of models including multinomial and Gaussian types. The connection derives a number of new theoretical results on LBP and BFE. This paper focuses two of such topics. One is the analysis of the region where the Hessian of the Bethe free energy is positive definite, which derives the non-convexity of BFE for graphs with multiple cycles, and a condition of convexity on a restricted set. This analysis also gives a new condition for the uniqueness of the LBP fixed point. The other result is to clarify the relation between the local stability of a fixed point of LBP and local minima of the BFE, which implies, for example, that a locally stable fixed point of the Gaussian LBP is a local minimum of the Gaussian Bethe free energy.
GW and Bethe-Salpeter study of small water clusters
Energy Technology Data Exchange (ETDEWEB)
Blase, Xavier, E-mail: xavier.blase@neel.cnrs.fr; Boulanger, Paul [CNRS, Institut NEEL, F-38042 Grenoble (France); Bruneval, Fabien [CEA, DEN, Service de Recherches de Métallurgie Physique, F-91191 Gif-sur-Yvette (France); Fernandez-Serra, Marivi [Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800 (United States); Institute for Advanced Computational Sciences, Stony Brook University, Stony Brook, New York 11794-3800 (United States); Duchemin, Ivan [INAC, SP2M/L-Sim, CEA/UJF Cedex 09, 38054 Grenoble (France)
2016-01-21
We study within the GW and Bethe-Salpeter many-body perturbation theories the electronic and optical properties of small (H{sub 2}O){sub n} water clusters (n = 1-6). Comparison with high-level CCSD(T) Coupled-Cluster at the Single Double (Triple) levels and ADC(3) Green’s function third order algebraic diagrammatic construction calculations indicates that the standard non-self-consistent G{sub 0}W{sub 0}@PBE or G{sub 0}W{sub 0}@PBE0 approaches significantly underestimate the ionization energy by about 1.1 eV and 0.5 eV, respectively. Consequently, the related Bethe-Salpeter lowest optical excitations are found to be located much too low in energy when building transitions from a non-self-consistent G{sub 0}W{sub 0} description of the quasiparticle spectrum. Simple self-consistent schemes, with update of the eigenvalues only, are shown to provide a weak dependence on the Kohn-Sham starting point and a much better agreement with reference calculations. The present findings rationalize the theory to experiment possible discrepancies observed in previous G{sub 0}W{sub 0} and Bethe-Salpeter studies of bulk water. The increase of the optical gap with increasing cluster size is consistent with the evolution from gas to dense ice or water phases and results from an enhanced screening of the electron-hole interaction.
Species Diversity of Hypogeous Ascomycetes in Israel
Barseghyan, Gayane S.; Wasser, Solomon P
2010-01-01
We conducted a species diversity study of the hypogeous Ascomycetes of Israel. The hypogeous Ascomycetes in Israel include members of the families Pyronemataceae, Pezizaceae, and Tuberaceae, which are represented by seven species: Hydnocystis piligera, Terfezia arenaria, T. claveryi, T. oligosperma, Tirmania africana, Tuber asa, and T. nitidum; only T. asa is new to Israeli mycobiota. Synonymy, locations, collection data, general distribution, distribution in Israel, descriptions, a key to id...
Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain
Frassek, Rouven
2015-07-01
We diagonalize Q-operators for rational homogeneous {sl}(2)-invariant Heisenberg spin chains using the algebraic Bethe ansatz. After deriving the fundamental commutation relations relevant for this case from the Yang-Baxter equation we demonstrate that the Q-operators act diagonally on the Bethe vectors if the Bethe equations are satisfied. In this way we provide a direct proof that the eigenvalues of the Q-operators studied here are given by Baxter's Q-functions.
Bethe Vectors of Quantum Integrable Models with GL(3 Trigonometric R-Matrix
Directory of Open Access Journals (Sweden)
Samuel Belliard
2013-10-01
Full Text Available We study quantum integrable models with GL(3 trigonometric $R$-matrix and solvable by the nested algebraic Bethe ansatz.Using the presentation of the universal Bethe vectors in terms of projections of products of the currents of the quantum affine algebra $U_q(widehat{mathfrak{gl}}_3$ onto intersections of different types of Borel subalgebras, we prove that the set of the nested Bethe vectors is closed under the action of the elements of the monodromymatrix.
Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
Belliard, Samuel
2015-01-01
The spectral problem of the Heisenberg XXZ spin-$\\frac{1}{2}$ chain on the segment is investigated within a modified algebraic Bethe ansatz framework. We consider in this work the most general boundaries allowed by integrability. The eigenvalues and the eigenvectors are obtained. They are characterised by a set of Bethe roots with cardinality equal to $N$, the length of the chain, and which satisfies a set of Bethe equations with an additional term.
Bethe states for the two-site Bose-Hubbard model: a binomial approach
Santos, Gilberto; Foerster, Angela; Roditi, Itzhak
2015-01-01
We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the $gl(2)$-invariant $R$-matrix for the two-site Bose-Hubbard model. Using a binomial expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed.
Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
António, N Cirilo; Salom, I
2014-01-01
We implement fully the algebraic Bethe ansatz for the XXX Heisenberg spin chain in the case when both boundary matrices can be brought to the upper-triangular form. We define the Bethe vectors which yield the strikingly simple expression for the off shell action of the transfer matrix, deriving the spectrum and the corresponding Bethe equations. We explore further these results by obtaining the off shell action of the generating function of the Gaudin Hamiltonians on the Bethe vectors through the so-called quasi-classical limit.
Israel Geological Society, annual meeting 1994
International Nuclear Information System (INIS)
The document is a compilation of papers presented during the annual meeting of Israel Geological Society. The document is related with geological and environmental survey of Israel. It discusses the technology and instruments used to carry out such studies. Main emphasis is given to seismology, geochemical analysis of water, water pollution and geophysical survey of rocks
Always the victim : Israel's present wars
Reinhart, T.
2006-01-01
In the Israeli discourse, Israel has always been the innocent victim of vicious aggression from its neighbors. This perception of reality has only intensified with its two recent wars - against the Palestinians in Gaza and against Lebanon. On this view, in both cases Israel has manifested its good w
Gifted Immigrants and Refugees in Israel
Rosemarin, Shoshana
2011-01-01
Since its establishment in 1948, the state of Israel has acquired a lot of experience in absorbing Jews who migrated from different parts of the globe. Two very different groups have immigrated into Israel during the last two decades--Ethiopians (100.000) and Russians (700.000). Due to the basic differences between those groups and cultures, the…
Formal and Applied Counseling in Israel
Israelashvili, Moshe; Wegman-Rozi, Orit
2012-01-01
Living in Israel is intensive and demanding but also meaningful and exciting. This article addresses the gap between the narrowly defined formal status of counseling in Israel and the widespread occurrence of counseling in various settings. It is argued that several recent changes, especially in the definition of treatment, along with the…
Israel debates raising commitment to CERN
Watzman, H
2000-01-01
Israel's science ministry is debating whether to apply for full membership of CERN since the 1992 agreement allowing Israel observer status is about to expire. Israeli physicists are pushing for full membership for political as well as scientific reasons (1 page).
π- and K-meson Bethe-Salpeter amplitudes
International Nuclear Information System (INIS)
Independent of assumptions about the form of the quark-quark scattering kernel K, we derive the explicit relation between the flavor-nonsinglet pseudoscalar-meson Bethe-Salpeter amplitude ΓH and the dressed-quark propagator in the chiral limit. In addition to a term proportional to γ5, ΓH necessarily contains qualitatively and quantitatively important terms proportional to γ5γ·P and γ5γ·kk·P, where P is the total momentum of the bound state. The axial-vector vertex contains a bound state pole described by ΓH, whose residue is the leptonic decay constant for the bound state. The pseudoscalar vertex also contains such a bound state pole and, in the chiral limit, the residue of this pole is related to the vacuum quark condensate. The axial-vector Ward-Takahashi identity relates these pole residues, with the Gell-Mann endash Oakes endash Renner relation a corollary of this identity. The dominant ultraviolet asymptotic behavior of the scalar functions in the meson Bethe-Salpeter amplitude is fully determined by the behavior of the chiral limit quark mass function, and is characteristic of the QCD renormalization group. The rainbow-ladder Ansatz for K, with a simple model for the dressed-quark-quark interaction, is used to illustrate and elucidate these general results. The model preserves the one-loop renormalization group structure of QCD. The numerical studies also provide a means of exploring procedures for solving the Bethe-Salpeter equation without a three-dimensional reduction. copyright 1997 The American Physical Society
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
Khachatryan, Sh.; Ferraz, A.; Klümper, A.; Sedrakyan, A.
2015-10-01
We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz approach to 2 + 1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang-Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of particles, the quark-anti-quark (meson) scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability.
Quantum $k$-core conduction on the Bethe lattice
Cao, L.; Schwarz, J. M.
2010-01-01
Classical and quantum conduction on a bond-diluted Bethe lattice is considered. The bond dilution is subject to the constraint that every occupied bond must have at least $k-1$ neighboring occupied bonds, i.e. $k$-core diluted. In the classical case, we find the onset of conduction for $k=2$ is continuous, while for $k=3$, the onset of conduction is discontinuous with the geometric random first-order phase transition driving the conduction transition. In the quantum case, treating each occupi...
Tetraquark bound states in a Bethe-Salpeter approach
Heupel, Walter; Eichmann, Gernot; Fischer, Christian S.
2012-01-01
We determine the mass of tetraquark bound states from a coupled system of covariant Bethe-Salpeter equations. Similar in spirit to the quark-diquark model of the nucleon, we approximate the full four-body equation for the tetraquark by a coupled set of two-body equations with meson and diquark constituents. These are calculated from their quark and gluon substructure using a phenomenologically well-established quark-gluon interaction. For the lightest scalar tetraquark we find a mass of the o...
Spectra of heavy mesons in the Bethe-Salpeter approach
Energy Technology Data Exchange (ETDEWEB)
Fischer, Christian S.; Kubrak, Stanislav; Williams, Richard [Justus-Liebig-Universitaet Giessen, Institut fuer Theoretische Physik, Giessen (Germany)
2015-01-01
We present a calculation of the spectrum of charmonia, bottomonia and B{sub c}-meson states with ''ordinary'' and exotic quantum numbers. We discuss the merits and limitations of a rainbow-ladder truncation of Dyson-Schwinger and Bethe-Salpeter equations and explore the effects of different shapes of the effective running coupling on ground and excited states in channels with quantum numbers J ≤ 3. We furthermore discuss the status of the X(3872) as a potential (excited) quark-antiquark state and give predictions for the masses of charmonia and bottomonia in the tensor channels with J= 2, 3. (orig.)
Physics over easy Breakfasts with Beth and physics
Azaroff, L V
2010-01-01
During a sequence of meals, the author relates the principal features of physics in easy-to-understand conversations with his wife Beth. Beginning with the studies of motion by Galileo and Newton through to the revolutionary theories of relativity and quantum mechanics in the 20th century, all important aspects of electricity, energy, magnetism, gravity and the structure of matter and atoms are explained and illustrated. The second edition similarly recounts the more recent application of these theories to nanoparticles, Bose-Einstein condensates, quantum entanglement and quantum computers. By
Pressure exerted by a grafted polymer: Bethe lattice solution
Mynssem Brum, Rafael; Stilck, Jürgen F.
2015-01-01
We solve the problem of a chain, modeled as a self-avoiding walk (SAW), grafted to the wall limiting a semi-infinite Bethe lattice of arbitrary coordination number q. In particular, we determine the pressure exerted by the polymer on the wall, as a function of the distance to the grafting point. The pressure, in general, decays exponentially with the distance, at variance with what is found for SAWs and directed walks on regular lattices and gaussian walks. The adsorption transition, which is discontinuous, and its influence on the pressure are also studied.
Bethe Ansatz Solutions of the Bose-Hubbard Dimer
Directory of Open Access Journals (Sweden)
Jon Links
2006-12-01
Full Text Available The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly solved by Bethe ansatz methods. Here we review the known exact solutions, highlighting the contributions of V.B. Kuznetsov to this field. Two of the exact solutions arise in the context of the Quantum Inverse Scattering Method, while the third solution uses a differential operator realisation of the su(2 Lie algebra.
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
Directory of Open Access Journals (Sweden)
Sh. Khachatryan
2015-10-01
Full Text Available We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz approach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of particles, the quark-anti-quark (meson scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability.
Direct Bethe-Salpeter solutions in Minkowski space
Carbonell, J
2016-01-01
We review a method to directly solve the Bethe-Salpeter equation in Minkowski space, both for bound and scattering states. It is based on a proper treatment of the many singularities which appear in the kernel and propagators. The off-mass shell scattering amplitude for spinless particles interacting by a one boson exchange was computed for the first time. Using our Minkowski space solutions for the initial (bound) and final (scattering) states, we calculate elastic and transition (bound to scattering state) electromagnetic form factors. The conservation of the transition electromagnetic current J.q=0, verified numerically, confirms the validity of our solutions.
Bethe-Salpeter equation for elastic nucleon-nucleon scattering
International Nuclear Information System (INIS)
The Bethe-Salpeter equation for NN scattering with one-boson exchange is investigated for the case in which the pion-nucleon coupling is described by axial-vector theory. In contrast to the results with pseudoscalar coupling, good agreement with the experimental data can be obtained for all partial waves. Also, the deviations from the Blankenbecler-Sugar equation are not as large as they are for pseudoscalar coupling. In addition, cancellations between the direct and the crossed box graph with pseudoscalar πN coupling are investigated for the 3S1 phase shift in the framework of the variational operator Pade approximation
Anti-Israel Sentiment Predicts Anti-Semitism in Europe
Kaplan, Edward H.; Small, Charles A.
2006-01-01
In the discourse surrounding the Israeli-Palestinian conflict, extreme criticisms of Israel (e.g., Israel is an apartheid state, the Israel Defense Forces deliberately target Palestinian civilians), coupled with extreme policy proposals (e.g., boycott of Israeli academics and institutions, divest from companies doing business with Israel), have…
Correlation functions of the spin chains. Algebraic Bethe Ansatz approach
International Nuclear Information System (INIS)
Spin chains are the basic elements of integrable quantum models. These models have direct applications in condense matter theory, in statistical physics, in quantum optics, in field theory and even in string theory but they are also important because they enable us to solve, in an exact manner, non-perturbative phenomena that otherwise would stay unresolved. The method described in this work is based on the algebraic Bethe Ansatz. It is shown how this method can be used for the computation of null temperature correlation functions of the Heisenberg 1/2 spin chain. The important point of this approach is the solution of the inverse quantum problem given by the XXZ spin chain. This solution as well as a simple formulae for the scalar product of the Bethe states, have enabled us to get the most basic correlation functions under the form of multiple integrals. The formalism of multiple integrals open the way for asymptotic analysis for a few physical quantities like the probability of vacuum formation. It is worth noticing that this formalism can give exact results for two-point functions that are the most important correlation functions for applications. A relationship has been discovered between these multiple integrals and the sum of the form factors. The results have been extended to dynamical correlation functions. (A.C.)
Functional Bethe ansatz methods for the open XXX chain
International Nuclear Information System (INIS)
We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional equations obtained by separation of variables or, equivalently, from the fusion of transfer matrices. For generic boundary conditions the eigenvalues cannot be obtained from the solution of finitely many algebraic Bethe equations. Based on careful finite size studies of the analytic properties of the underlying hierarchy of transfer matrices we devise two approaches to analyze the functional equations. First we introduce a truncation method leading to Bethe-type equations determining the energy spectrum of the spin chain. In a second approach, the hierarchy of functional equations is mapped to an infinite system of nonlinear integral equations of TBA type. The two schemes have complementary ranges of applicability and facilitate an efficient numerical analysis for a wide range of boundary parameters. Some data are presented on the finite-size corrections to the energy of the state which evolves into the antiferromagnetic ground state in the limit of parallel boundary fields.
$\\pi$ and K-meson Bethe-Salpeter Amplitudes
Maris, P
1997-01-01
Independent of assumptions about the form of the quark-quark scattering kernel, K, we derive the explicit relation between the flavour-nonsinglet pseudoscalar meson Bethe-Salpeter amplitude, Gamma_H, and the dressed-quark propagator in the chiral limit. In addition to a term proportional to gamma_5, Gamma_H necessarily contains qualitatively and quantitatively important terms proportional to gamma_5 gamma.P and gamma_5 gamma.k k.P, where P is the total momentum of the bound state. The axial-vector vertex contains a bound state pole described by Gamma_H, whose residue is the leptonic decay constant for the bound state. The pseudoscalar vertex also contains such a bound state pole and, in the chiral limit, the residue of this pole is related to the vacuum quark condensate. The axial-vector Ward-Takahashi identity relates these pole residues; with the Gell-Mann--Oakes--Renner relation a corollary of this identity. The dominant ultraviolet asymptotic behaviour of the scalar functions in the meson Bethe-Salpeter a...
Bethe ansatz for the Temperley–Lieb spin chain with integrable open boundaries
International Nuclear Information System (INIS)
In this paper we study the spectrum of the spin-1 Temperley–Lieb spin chain with integrable open boundary conditions. We obtain the eigenvalue expressions as well as its associated Bethe ansatz equations by means of the coordinate Bethe ansatz. These equations provide the complete description of the spectrum of the model. (paper)
Bethe ansatz matrix elements as non-relativistic limits of form factors of quantum field theory
M. Kormos; G. Mussardo; B. Pozsgay
2010-01-01
We show that the matrix elements of integrable models computed by the algebraic Bethe ansatz (BA) can be put in direct correspondence with the form factors of integrable relativistic field theories. This happens when the S-matrix of a Bethe ansatz model can be regarded as a suitable non-relativistic
Bethe ansatz solution of the open XX spin chain with non-diagonal boundary terms
International Nuclear Information System (INIS)
We consider the integrable open XX quantum spin chain with non-diagonal boundary terms. We derive an exact inversion identity, by which we obtain the eigenvalues of the transfer matrix and the Bethe ansatz equations. For generic values of the boundary parameters, the Bethe ansatz solution is formulated in terms of the Jacobian elliptic functions. (author)
Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain
Nepomechie, Rafael I
2016-01-01
We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley-Lieb open quantum chain with "free" boundary conditions. We exploit the associated reflection algebra in order to prove the off-shell equation satisfied by the Bethe vectors.
Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
Cao, Junpeng; Shi, Kangjie; Wang, Yupeng
2013-01-01
With the off-diagonal Bethe ansatz method proposed recently by the present authors, we exactly diagonalize the $XXX$ spin chain with arbitrary boundary fields. By constructing a functional relation between the eigenvalues of the transfer matrix and the quantum determinant, the associated $T-Q$ relation and the Bethe ansatz equations are derived.
On the algebraic Bethe ansatz for the XXX spin chain: creation operators 'beyond the equator'
International Nuclear Information System (INIS)
Considering the XXX spin-1/2 chain in the framework of the algebraic Bethe ansatz, we make the following short comment: the product of the creation operators corresponding to the recently found solution of the Bethe equations 'on the wrong side of the equator' is just zero (not only its action on the pseudovacuum). (author). Letter-to-the-editor
Algebraic Bethe ansatz for scalar products in SU(3)-invariant integrable models
Belliard, S; Ragoucy, E; Slavnov, N A
2012-01-01
We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for particular case of scalar products of Bethe vectors. This representation can be used for the calculation of form factors and correlation functions of XXX SU(3)-invariant Heisenberg chain.
Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions
International Nuclear Information System (INIS)
Employing the off-diagonal Bethe ansatz method proposed recently by the present authors, we exactly diagonalize the XXX spin chain with arbitrary boundary fields. By constructing a functional relation between the eigenvalues of the transfer matrix and the quantum determinant, the associated T–Q relation and the Bethe ansatz equations are derived
Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions
Cao, Junpeng; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng
2013-10-01
Employing the off-diagonal Bethe ansatz method proposed recently by the present authors, we exactly diagonalize the XXX spin chain with arbitrary boundary fields. By constructing a functional relation between the eigenvalues of the transfer matrix and the quantum determinant, the associated T-Q relation and the Bethe ansatz equations are derived.
The Bethe Sum Rule and Basis Set Selection in the Calculation of Generalized Oscillator Strengths
DEFF Research Database (Denmark)
Cabrera-Trujillo, Remigio; Sabin, John R.; Oddershede, Jens; Sauer, Stephan P. A.
1999-01-01
Fulfillment of the Bethe sum rule may be construed as a measure of basis set quality for atomic and molecular properties involving the generalized oscillator strength distribution. It is first shown that, in the case of a complete basis, the Bethe sum rule is fulfilled exactly in the random phase...
Algebraic Bethe ansatz for the gl(1|2) generalized model: II. the three gradings
International Nuclear Information System (INIS)
The algebraic Bethe ansatz can be performed rather abstractly for whole classes of models sharing the same R-matrix, the only prerequisite being the existence of an appropriate pseudo vacuum state. Here we perform the algebraic Bethe ansatz for all models with 9 x 9, rational, gl(1|2) invariant R-matrix and all three possibilities of choosing the grading. Our Bethe ansatz solution applies, for instance, to the supersymmetric t-J model, the supersymmetric U model and a number of interesting impurity models. It may be extended to obtain the quantum transfer matrix spectrum for this class of models. The properties of a specific model enter the Bethe ansatz solution (i.e. the expression for the transfer matrix eigenvalue and the Bethe ansatz equations) through the three pseudo vacuum eigenvalues of the diagonal elements of the monodromy matrix which in this context are called the parameters of the model
Light Pseudoscalar Mesons in Bethe-Salpeter Equation with Instantaneous Interaction
Lucha, Wolfgang
2015-01-01
The light pseudoscalar mesons play a twofold role: they may or have to be regarded both as low-lying bound states of the fundamental degrees of freedom of quantum chromodynamics as well as the (pseudo-) Goldstone bosons of the spontaneously broken chiral symmetries of quantum chromodynamics. We interrelate these aspects in a single quantum-field-theoretic approach relying on the Bethe-Salpeter formalism in instantaneous approximation by very simple means: the shape of the pseudoscalar-meson Bethe-Salpeter wave function dictated by chiral symmetry is used in Bethe-Salpeter equations for bound states of vanishing mass, in order to deduce analytically the interactions which govern the bound states under study. In this way, we obtain exact Bethe-Salpeter solutions for pseudoscalar mesons, in the sense of establishing the rigorous relationship between, on the one hand, the relevant interactions and, on the other hand, the Bethe-Salpeter amplitudes that characterize the bound states.
Management of radioactive waste in Israel
International Nuclear Information System (INIS)
Radioactive materials are used extensively in Israel in labelled chemicals in hospitals, research laboratories, industrial and agricultural premises and for environmental studies. A by products of many of these methods is radioactive waste (RW). The responsible authority for RW management in Israel is the Chief Radiation Executive (CRE). Each RW producing institute in Israel has to acquire a license for its operation. This license limits the amount to radioactive materials purchased by the institute and approves the nomination of a radiation officer. Radiation waste disposal services are offered by the IAEC's Nuclear Research Center-Negev (NRCN) which operates and monitors a National Radioactive Waste Disposal Site (NRWDS). 2 figs, 4 tabs
Israel, CERN’s new Member State
Brice, Maximilien
2014-01-01
On Wednesday, 15 January 2014, the official Israeli Flag-raising Ceremony took place to mark the accession of Israel to Membership of CERN, bringing the Organization’s number of Member States to 21.
HOLLOW LAND: Israel's Architecture of Occupation
Weizman, Eyal
2007-01-01
Acclaimed exploration of the political space created by Israel's colonial occupation From the tunnels of Gaza to the militarized airspace of the Occupied Territories, Eyal Weizman unravels Israel's mechanisms of control and its transformation of Palestinian towns, villages and roads into an artifice where all natural and built features serve military ends. Weizman traces the development of this strategy, from the influence of archaeology on urban planning, Ariel Sharon's reconceptualizati...
Tetra quark bound states in a Bethe-Salpeter approach
Energy Technology Data Exchange (ETDEWEB)
Heupel, Walter; Eichmann, Gernot [Institut fuer Theoretische Physik, Justus-Liebig-Universitaet Giessen, D-35392 Giessen (Germany); Fischer, Christian S., E-mail: christian.fischer@theo.physik.uni-giessen.de [Institut fuer Theoretische Physik, Justus-Liebig-Universitaet Giessen, D-35392 Giessen (Germany); GSI Helmholtzzentrum fuer Schwerionenforschung GmbH, Planckstr. 1, D-64291 Darmstadt (Germany)
2012-12-05
We determine the mass of tetraquark bound states from a coupled system of covariant Bethe-Salpeter equations. Similar in spirit to the quark-diquark model of the nucleon, we approximate the full four-body equation for the tetraquark by a coupled set of two-body equations with meson and diquark constituents. These are calculated from their quark and gluon substructure using a phenomenologically well-established quark-gluon interaction. For the lightest scalar tetraquark we find a mass of the order of 400 MeV and a wave function dominated by the pion-pion constituents. Both results are in agreement with a meson molecule picture for the f{sub 0}(600). Our results furthermore suggest the presence of a potentially narrow all-charm tetraquark in the mass region 5-6 GeV.
Tetraquark bound states in a Bethe-Salpeter approach
Heupel, Walter; Fischer, Christian S
2012-01-01
We determine the mass of tetraquark bound states from a coupled system of covariant Bethe-Salpeter equations. Similar in spirit to the quark-diquark model of the nucleon, we approximate the full four-body equation for the tetraquark by a coupled set of two-body equations with meson and diquark constituents. These are calculated from their quark and gluon substructure using a phenomenologically well-established quark-gluon interaction. For the lightest scalar tetraquark we find a mass of the order of 400 MeV and a wave function dominated by the pion-pion constituents. Both results are in agreement with a meson molecule picture for the f_0(600). Our results furthermore suggest the presence of a potentially narrow all-charm tetraquark in the mass region 5-6 GeV.
Tetraquark bound states in a Bethe-Salpeter approach
Heupel, Walter; Eichmann, Gernot; Fischer, Christian S.
2012-12-01
We determine the mass of tetraquark bound states from a coupled system of covariant Bethe-Salpeter equations. Similar in spirit to the quark-diquark model of the nucleon, we approximate the full four-body equation for the tetraquark by a coupled set of two-body equations with meson and diquark constituents. These are calculated from their quark and gluon substructure using a phenomenologically well-established quark-gluon interaction. For the lightest scalar tetraquark we find a mass of the order of 400 MeV and a wave function dominated by the pion-pion constituents. Both results are in agreement with a meson molecule picture for the f0 (600). Our results furthermore suggest the presence of a potentially narrow all-charm tetraquark in the mass region 5-6 GeV.
A Weizsacker-Bethe type mass formula for hypernuclei
International Nuclear Information System (INIS)
Theoretical estimates of hypernuclear binding energies are generally much larger than the empirical value and the disagreement is rather marked for the binding energy of sub(Λ)5He. Here we try to explain the so-called over-binding problem by way of introducing a Weizsacker-Bethe type mass formula used for ordinary nuclei. Using the most recent data on binding energies of hypernuclei, parameters of the hypernuclear mass formula are estimated by fitting a least-square curve as is the usual practice in nuclear physics. Theoretical predictions for hypernuclear binding energies are then made by using the formula as obtained above and results compared with experimental values. Agreement with experiment is found to be rather good and in particular the result obtained for sub(Λ)5He, although slightly larger than the observed value, has shown significant improvement over earlier estimates. (author)
Energy Technology Data Exchange (ETDEWEB)
Basso, Benjamin, E-mail: bbasso@perimeterinstitute.ca [Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5 (Canada); Rej, Adam, E-mail: arej@ias.edu [School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540 (United States)
2014-02-15
Studying the scattering of excitations around a dynamical background has a long history in the context of integrable models. The Gubser–Klebanov–Polyakov string solution provides such a background for the string/gauge correspondence. Taking the conjectured all-loop asymptotic equations for the AdS{sub 4}/CFT{sub 3} correspondence as the starting point, we derive the S-matrix and a set of spectral equations for the lowest-lying excitations. We find that these equations resemble closely the analogous equations for AdS{sub 5}/CFT{sub 4}, which are also discussed in this paper. At large values of the coupling constant we show that they reproduce the Bethe equations proposed to describe the spectrum of the low-energy limit of the AdS{sub 4}×CP{sup 3} sigma model.
Potts models with invisible states on general Bethe lattices
International Nuclear Information System (INIS)
The number of so-called invisible states which need to be added to the q-state Potts model to transmute its phase transition from continuous to first order has attracted recent attention. In the q = 2 case, a Bragg–Williams (mean-field) approach necessitates four such invisible states while a 3-regular random graph formalism requires seventeen. In both of these cases, the changeover from second- to first-order behaviour induced by the invisible states is identified through the tricritical point of an equivalent Blume–Emery–Griffiths model. Here we investigate the generalized Potts model on a Bethe lattice with z neighbours. We show that, in the q = 2 case, invisible states are required to manifest the equivalent Blume–Emery–Griffiths tricriticality. When z = 3, the 3-regular random graph result is recovered, while z → ∞ delivers the Bragg–Williams (mean-field) result. (paper)
Bethe-salpeter equation from many-body perturbation theory
Energy Technology Data Exchange (ETDEWEB)
Sander, Tobias; Starke, Ronald; Kresse, Georg [Computational Materials Physics, University of Vienna, Sensengasse 8/12, 1090 Vienna (Austria)
2013-07-01
The Green function formalism is a powerful tool to calculate not only electronic structure within the quasi-particle (QP) picture, but it also gives access to optical absorption spectra. Starting from QP energies within the GW method, the polarizability, as central quantity, is calculated from the solution of a Bethe-Salpeter-like equation (BSE). It is usually solved within the Tamm-Dancoff Approximation (TDA) which neglects the coupling of resonant (positive frequency branch) and anti-resonant (negative frequency branch) excitations. In this work we solve the full BSE (beyond TDA) based on self-consistently calculated QP orbitals and energies for typical systems. The dielectric function is averaged over many low dimensional shifted k-meshes to obtain k-point converged results. We compare the results to recently introduced approximation to the BSE kernel. Additionally, the time-evolution ansatz is employed to calculate the polarizability, which avoids the direct solution of the BSE.
Bethe-salpeter equation from many-body perturbation theory
International Nuclear Information System (INIS)
The Green function formalism is a powerful tool to calculate not only electronic structure within the quasi-particle (QP) picture, but it also gives access to optical absorption spectra. Starting from QP energies within the GW method, the polarizability, as central quantity, is calculated from the solution of a Bethe-Salpeter-like equation (BSE). It is usually solved within the Tamm-Dancoff Approximation (TDA) which neglects the coupling of resonant (positive frequency branch) and anti-resonant (negative frequency branch) excitations. In this work we solve the full BSE (beyond TDA) based on self-consistently calculated QP orbitals and energies for typical systems. The dielectric function is averaged over many low dimensional shifted k-meshes to obtain k-point converged results. We compare the results to recently introduced approximation to the BSE kernel. Additionally, the time-evolution ansatz is employed to calculate the polarizability, which avoids the direct solution of the BSE.
Large and small density approximations to the thermodynamic Bethe ansatz
International Nuclear Information System (INIS)
We provide analytical solutions to the thermodynamic Bethe ansatz equations in the large and small density approximations. We extend results previously obtained for leading order behaviour of the scaling function of affine Toda field theories related to simply laced Lie algebras to the non-simply laced case. The comparison with semi-classical methods shows perfect agreement for the simply laced case. We derive the Y-systems for affine Toda field theories with real coupling constant and employ them to improve the large density approximations. We test the quality of our analysis explicitly for the sinh-Gordon model and the (G2(1),D4(3)) -affine Toda field theory
Self-avoiding walks on a bilayer Bethe lattice
International Nuclear Information System (INIS)
We propose and study a model of polymer chains in a bilayer. Each chain is confined in one of the layers and polymer bonds on first neighbor edges in different layers interact. We also define and comment on results for a model with interactions between monomers on first neighbor sites of different layers. The thermodynamic properties of the model are studied in the grand-canonical formalism and both layers are considered to be Cayley trees. In the core region of the trees, which we call a bilayer Bethe lattice, we find a very rich phase diagram in the parameter space defined by the two activities of monomers and the Boltzmann factor associated with the interlayer interaction between bonds or monomers. In addition to critical and coexistence surfaces, there are tricritical, bicritical and critical endpoint lines, as well as higher order multicritical points. (paper)
Self-avoiding walks on a bilayer Bethe lattice
Serra, Pablo; Stilck, Jürgen F.
2014-04-01
We propose and study a model of polymer chains in a bilayer. Each chain is confined in one of the layers and polymer bonds on first neighbor edges in different layers interact. We also define and comment on results for a model with interactions between monomers on first neighbor sites of different layers. The thermodynamic properties of the model are studied in the grand-canonical formalism and both layers are considered to be Cayley trees. In the core region of the trees, which we call a bilayer Bethe lattice, we find a very rich phase diagram in the parameter space defined by the two activities of monomers and the Boltzmann factor associated with the interlayer interaction between bonds or monomers. In addition to critical and coexistence surfaces, there are tricritical, bicritical and critical endpoint lines, as well as higher order multicritical points.
Tetra quark bound states in a Bethe-Salpeter approach
International Nuclear Information System (INIS)
We determine the mass of tetraquark bound states from a coupled system of covariant Bethe-Salpeter equations. Similar in spirit to the quark-diquark model of the nucleon, we approximate the full four-body equation for the tetraquark by a coupled set of two-body equations with meson and diquark constituents. These are calculated from their quark and gluon substructure using a phenomenologically well-established quark-gluon interaction. For the lightest scalar tetraquark we find a mass of the order of 400 MeV and a wave function dominated by the pion-pion constituents. Both results are in agreement with a meson molecule picture for the f0(600). Our results furthermore suggest the presence of a potentially narrow all-charm tetraquark in the mass region 5-6 GeV.
Excited charmonium states from Bethe-Salpeter equation
Sauli, Vladimir
2011-01-01
We solve the Bethe-Salpeter equation for a system of a heavy quark-antiquark pair interacting with a screened linear confining potential. First we show the spinless QFT model is inadequate and fail to describe even gross feature of the quarkonia spectrum. In order to get reliable description the spine degrees of freedom has to be considered. Within the approximation employed we reasonably reproduce known radial excitation of vector charmonium. The BSE favors relatively large string breaking scale $\\mu\\simeq 350MeV$ . Using free charm quark propagators we observe that $J/\\Psi$ is the only charmonium left bellow naive quark-antiquark threshold $2m_c$, while the all excited states are situated above this threshold. Within the numerical method we overcome obstacles related with threshold singularity and discuss the consequences of the use of free propagators for calculation of excited states above the threshold.
Twist-three at five loops, Bethe ansatz and wrapping
Beccaria, Matteo; Forini, Valentina; Łukowski, Tomasz; Zieme, Stefan
2009-03-01
We present a formula for the five-loop anomalous dimension of Script N = 4 SYM twist-three operators in the fraktur sfraktur l(2) sector. We obtain its asymptotic part from the Bethe Ansatz and finite volume corrections from the generalized Lüscher formalism, considering scattering processes of spin chain magnons with virtual particles that travel along the cylinder. The complete result respects the expected large spin scaling properties and passes non-trivial tests including reciprocity constraints. We analyze the pole structure and find agreement with a conjectured resummation formula. In analogy with the twist-two anomalous dimension at four-loops wrapping effects are of order (log2M/M2) for large values of the spin.
Modified binary encounter Bethe model for electron-impact ionization
Guerra, M; Indelicato, P; Santos, J P
2013-01-01
Theoretical expressions for ionization cross sections by electron impact based on the binary encounter Bethe (BEB) model, valid from ionization threshold up to relativistic energies, are proposed. The new modified BEB (MBEB) and its relativistic counterpart (MRBEB) expressions are simpler than the BEB (nonrelativistic and relativistic) expressions because they require only one atomic parameter, namely the binding energy of the electrons to be ionized, and use only one scaling term for the ionization of all sub-shells. The new models are used to calculate the K-, L- and M-shell ionization cross sections by electron impact for several atoms with Z from 6 to 83. Comparisons with all, to the best of our knowledge, available experimental data show that this model is as good or better than other models, with less complexity.
Universal Bethe ansatz solution for the Temperley-Lieb spin chain
Nepomechie, Rafael I
2016-01-01
We consider the Temperley-Lieb (TL) open quantum spin chain with "free" boundary conditions associated with the spin-$s$ representation of quantum-deformed $sl(2)$. We construct the transfer matrix, and determine its eigenvalues and the corresponding Bethe equations using analytical Bethe ansatz. We show that the transfer matrix has quantum group symmetry, and we propose explicit formulas for the number of solutions of the Bethe equations and the degeneracies of the transfer-matrix eigenvalues. We propose an algebraic Bethe ansatz construction of the off-shell Bethe states, and we conjecture that the on-shell Bethe states are highest-weight states of the quantum group. We also propose a determinant formula for the scalar product between an off-shell Bethe state and its on-shell dual, as well as for the square of the norm. We find that all of these results, except for the degeneracies and a constant factor in the scalar product, are universal in the sense that they do not depend on the value of the spin. In an...
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Directory of Open Access Journals (Sweden)
Samuel Belliard
2013-11-01
Full Text Available We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without the Bethe equations formally similar to the ones obtained in the periodic case or with diagonal boundaries.
Algebraic Bethe ansatz for the sl(2) Gaudin model with boundary
António, N Cirilo; Ragoucy, E; Salom, I
2015-01-01
Following Sklyanin's proposal in the periodic case, we derive the generating function of the Gaudin Hamiltonians with boundary terms. Our derivation is based on the quasi-classical expansion of the linear combination of the transfer matrix of the XXX Heisenberg spin chain and the central element, the so-called Sklyanin determinant. The corresponding Gaudin Hamiltonians with boundary terms are obtained as the residues of the generating function. By defining the appropriate Bethe vectors which yield strikingly simple off shell action of the generating function, we fully implement the algebraic Bethe ansatz, obtaining the spectrum of the generating function and the corresponding Bethe equations.
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Belliard, Samuel; Crampé, Nicolas
2013-11-01
We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without the Bethe equations) formally similar to the ones obtained in the periodic case or with diagonal boundaries.
Heisenberg XXX model with general boundaries: Eigenvectors from Algebraic Bethe ansatz
Belliard, S
2013-01-01
We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without the Bethe equations) formally similar to the ones obtained in the periodic case or with diagonal boundaries.
Neutron and proton drip lines using the modified Bethe-Weizsacker mass formula
Basu, D N
2003-01-01
Proton and neutron separation energies have been calculated using the extended Bethe-Weizsacker mass formula. This modified Bethe-Weizsacker mass formula describes minutely the positions of all the old and the new magic numbers. It accounts for the disappearance of some traditional magic numbers for neutrons and provides extra stability for some new neutron numbers. The neutron and proton drip lines have been predicted using this extended Bethe-Weizsacker mass formula. The implications of the proton drip line on the astrophysical rp-process and of the neutron drip line on the astrophysical r-process have been discussed.
Hofstadter problem on the honeycomb and triangular lattices: Bethe ansatz solution
Kohmoto, M.; Sedrakyan, A.
2006-06-01
We consider Bloch electrons on the honeycomb lattice under a uniform magnetic field with 2πp/q flux per cell. It is shown that the problem factorizes to two triangular lattices. Treating magnetic translations as a Heisenberg-Weyl group and by the use of its irreducible representation on the space of theta functions, we find a nested set of Bethe equations, which determine the eigenstates and energy spectrum. The Bethe equations have simple form which allows us to consider them further in the limit p,q→∞ by the technique of thermodynamic Bethe ansatz and analyze the Hofstadter problem for the irrational flux.
Two-body bound states ampersand the Bethe-Salpeter equation
International Nuclear Information System (INIS)
The Bethe-Salpeter formalism is used to study two-body bound states within a scalar theory: two scalar fields interacting via the exchange of a third massless scalar field. The Schwinger-Dyson equation is derived using functional and diagrammatic techniques, and the Bethe-Salpeter equation is obtained in an analogous way, showing it to be a two-particle generalization of the Schwinger-Dyson equation. The authors also present a numerical method for solving the Bethe-Salpeter equation without three-dimensional reduction. The ground and first excited state masses and wavefunctions are computed within the ladder approximation and space-like form factors are calculated
Scattering solutions of Bethe-Salpeter equation in Minkowski and Euclidean spaces
Carbonell, J
2016-01-01
We shortly review different methods to obtain the scattering solutions of the Bethe-Salpeter equation in Minkowski space. We emphasize the possibility to obtain the zero energy observables in terms of the Euclidean scattering amplitude.
Bethe algebra of Gaudin model, Calogero-Moser space and Cherednik algebra
Mukhin, E.; Tarasov, V.; Varchenko, A.
2009-01-01
We identify the Bethe algebra of the Gaudin model associated to gl(N) acting on a suitable representation with the center of the rational Cherednik algebra and with the algebra of regular functions on the Calogero-Moser space.
Janus-Facedness of the Pion: Analytic Instantaneous Bethe-Salpeter Models
Lucha, Wolfgang
2016-01-01
Inversion enables the construction of interaction potentials underlying - under fortunate circumstances even analytic - instantaneous Bethe-Salpeter descriptions of all lightest pseudoscalar mesons as quark-antiquark bound states of Goldstone-boson nature.
Bethe vectors for models based on the super-Yangian $Y(\\mathfrak{gl}(m|n))$
Pakuliak, S Z; Slavnov, N A
2016-01-01
We study Bethe vectors of integrable models based on the super-Yangian $Y(\\mathfrak{gl}(m|n))$. Starting from the super-trace formula, we exhibit recursion relations for these vectors in the case of $Y(\\mathfrak{gl}(2|1))$ and $Y(\\mathfrak{gl}(1|2))$. These recursion relations allow to get explicit expressions for the Bethe vectors. Using an antimorphism of the super-Yangian $Y(\\mathfrak{gl}(m|n))$, we also construct a super-trace formula for dual Bethe vectors, and, for $Y(\\mathfrak{gl}(2|1))$ and $Y(\\mathfrak{gl}(1|2))$ super-Yangians, show recursion relations for them. Again, the latter allow us to get explicit expressions for dual Bethe vectors.
Transactions of the nuclear societies of Israel joint meeting 1994
International Nuclear Information System (INIS)
The 18th convention of the Israel nuclear societies transactions book contains presentations in the following topics: reactor physics, health physics, radiation protection, nuclear medicine and general reviews about the status of nuclear energy in Israel
A Numerical Study of Entanglement Entropy of the Heisenberg Model on a Bethe Cluster
Friedman, Barry; Levine, Greg
2015-01-01
Numerical evidence is presented for a nearest neighbor Heisenberg spin model on a Bethe cluster, that by bisecting the cluster, the generalized Renyi entropy scales as the number of sites in the cluster. This disagrees with spin wave calculations and a naive application of the area law but agrees with previous results for non interacting fermions on the Bethe cluster. It seems this scaling is not an artifact of non interacting particles. As a consequence, the area law in greater then one dime...
Bethe ansatz solution of the $\\tau_2$-model with arbitrary boundary fields
Xu, Xiaotian; Yang, Tao; Cao, Junpeng; Yang, Wen-Li; Shi, Kangjie
2016-01-01
The quantum $\\tau_2$-model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix are given in terms of an inhomogeneous T-Q relation, which is based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices. Moreover, the associated Bethe Ansatz equations are also obtained.
Spin-1/2 XYZ model revisit: General solutions via off-diagonal Bethe ansatz
Energy Technology Data Exchange (ETDEWEB)
Cao, Junpeng [Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China); Collaborative Innovation Center of Quantum Matter, Beijing (China); Cui, Shuai [Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China); Yang, Wen-Li, E-mail: wlyang@nwu.edu.cn [Institute of Modern Physics, Northwest University, Xian 710069 (China); Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048 (China); Shi, Kangjie [Institute of Modern Physics, Northwest University, Xian 710069 (China); Wang, Yupeng, E-mail: yupeng@iphy.ac.cn [Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China); Collaborative Innovation Center of Quantum Matter, Beijing (China)
2014-09-15
The spin-1/2 XYZ model with both periodic and anti-periodic boundary conditions is studied via the off-diagonal Bethe ansatz method. The exact spectra of the Hamiltonians and the Bethe ansatz equations are derived by constructing the inhomogeneous T–Q relations, which allow us to treat both the even N (the number of lattice sites) and odd N cases simultaneously in a unified approach.
Quantum integrability and Bethe ansatz solution for interacting matter-radiation systems
International Nuclear Information System (INIS)
A unified integrable system, generating a new series of interacting matter-radiation models with interatomic coupling and different atomic frequencies, is constructed and exactly solved through an algebraic Bethe ansatz. Novel features in Rabi oscillation and vacuum Rabi splitting are shown on the example of an integrable two-atom Buck-Sukumar model with resolution of some important controversies in the Bethe ansatz solution including its possible degeneracy for such models. (letter to the editor)
Explicit Solutions of the Bethe Ansatz Equations for Bloch Electrons in a Magnetic Field
Hatsugai, Yasuhiro; Kohmoto, Mahito; Wu, Yong-Shi
1994-01-01
For Bloch electrons in a magnetic field, explicit solutions are obtained at the center of the spectrum for the Bethe ansatz equations of Wiegmann and Zabrodin. When the magnetic flux per plaquette is 1 / Q with Q an odd integer, distribution of the roots of the Bethe ansatz equation is uniform except at two points on the unit circle in the complex plane. For the semiclassical limit Q→∞, the wave function is
Bethe vectors of quantum integrable models based on Uq( gl-hat N)
International Nuclear Information System (INIS)
We study quantum Uq( gl-hat N) integrable models solvable by the nested algebraic Bethe ansatz. Different formulas are given for the right and left universal off-shell nested Bethe vectors. It is shown that these formulas can be related by certain morphisms of the positive Borel subalgebra in Uq( gl-hat N) into analogous subalgebra in Uq−1( gl-hat N). (paper)
Israel's position on non-proliferation
International Nuclear Information System (INIS)
Israel maintained that the complex international system and worldwide political tension created a situation in which comprehensive plans of disarmament could not produce any positive result. The deadlock in the field of general and complete disarmament has brought Israel to the realization that one possible way to alleviate the stalemate could be progress by stages through partial measures of disarmament. Israel's position on non-proliferation indicates that the establishment of a nuclear-weapon-free-zone (NWFZ), as it relates to the Middle-East, could serve as a credible alternative to the unilateral adherence to the Non-Proliferation of Nuclear Weapon (NPT) and an effective measure of non-proliferation in the region. (Author)
Commercial and Industrial Cyber Espionage in Israel
Directory of Open Access Journals (Sweden)
Shahar Argaman
2014-03-01
Full Text Available Cyberspace is especially suited to the theft of business information and to espionage. The accessibility of information, along with the ability to remain anonymous and cover one’s tracks, allows various entities to engage in the theft of valuable information, an act that can cause major damage. Israel, rich in advanced technology and a leader in innovation-based industries that rely on unique intellectual property, is a prime target for cyber theft and commercial cyber attacks. This article examines the scope of cyber theft and cyber industrial espionage globally, and attempts to estimate how much financial damage they cause in countries around the world and in Israel. It seeks to raise awareness of the extent of the phenomena among the relevant authorities in Israel and provide recommendations on how to grapple with it.
77 FR 21748 - Oil and Gas Trade Mission to Israel
2012-04-11
.... firms to Israel's rapidly expanding oil and gas market and to assist U.S. companies pursuing export... identifying profitable opportunities in Israel's natural gas and oil market. As such, the mission will focus... International Trade Administration Oil and Gas Trade Mission to Israel AGENCY: International...
Spirituality in Teacher Training at an Islamic College in Israel
Erdreich, Lauren
2016-01-01
This article looks at an Islamic teacher training college in Israel in an attempt to understand how religious revival shapes women's understandings of being Muslim women professionals in Israel. The college grew out of Islamic revival in Israel; its teacher training program reflects the sensibilities that Islamic revival hopes to foster in women…
Agglomerative percolation on the Bethe lattice and the triangular cactus
Chae, Huiseung; Yook, Soon-Hyung; Kim, Yup
2013-08-01
Agglomerative percolation (AP) on the Bethe lattice and the triangular cactus is studied to establish the exact mean-field theory for AP. Using the self-consistent simulation method based on the exact self-consistent equations, the order parameter P∞ and the average cluster size S are measured. From the measured P∞ and S, the critical exponents βk and γk for k = 2 and 3 are evaluated. Here, βk and γk are the critical exponents for P∞ and S when the growth of clusters spontaneously breaks the Zk symmetry of the k-partite graph. The obtained values are β2 = 1.79(3), γ2 = 0.88(1), β3 = 1.35(5) and γ3 = 0.94(2). By comparing these exponents with those for ordinary percolation (β∞ = 1 and γ∞ = 1), we also find β∞ γ3 > γ2. These results quantitatively verify the conjecture that the AP model belongs to a new universality class if the Zk symmetry is broken spontaneously, and the new universality class depends on k.
Agglomerative percolation on the Bethe lattice and the triangular cactus
International Nuclear Information System (INIS)
Agglomerative percolation (AP) on the Bethe lattice and the triangular cactus is studied to establish the exact mean-field theory for AP. Using the self-consistent simulation method based on the exact self-consistent equations, the order parameter P∞ and the average cluster size S are measured. From the measured P∞ and S, the critical exponents βk and γk for k = 2 and 3 are evaluated. Here, βk and γk are the critical exponents for P∞ and S when the growth of clusters spontaneously breaks the Zk symmetry of the k-partite graph. The obtained values are β2 = 1.79(3), γ2 = 0.88(1), β3 = 1.35(5) and γ3 = 0.94(2). By comparing these exponents with those for ordinary percolation (β∞ = 1 and γ∞ = 1), we also find β∞ 3 2 and γ∞ > γ3 > γ2. These results quantitatively verify the conjecture that the AP model belongs to a new universality class if the Zk symmetry is broken spontaneously, and the new universality class depends on k. (paper)
Efficient implementation of core-excitation Bethe Salpeter equation calculations
Gilmore, K; Shirley, E L; Prendergast, D; Pemmaraju, C D; Kas, J J; Vila, F D; Rehr, J J
2016-01-01
We present an efficient implementation of the Bethe-Salpeter equation (BSE) method for obtaining core-level spectra including x-ray absorption (XAS), x-ray emission (XES), and both resonant and non-resonant inelastic x-ray scattering spectra (N/RIXS). Calculations are based on density functional theory (DFT) electronic structures generated either by abinit or Quantumespresso, both plane-wave basis, pseudopotential codes. This electronic structure is improved through the inclusion of a GW self energy. The projector augmented wave technique is used to evaluate transition matrix elements between core-level and band states. Final two-particle scattering states are obtained with the NIST core-level BSE solver (NBSE). We have previously reported this implementation, which we refer to as ocean (Obtaining Core Excitations from Ab initio electronic structure and NBSE) [Phys. Rev. B 83, 115106 (2011)]. Here, we present additional efficiencies that enable us to evaluate spectra for systems ten times larger than previous...
A systematic approach to sketch Bethe-Salpeter equation
Qin, Si-xue
2016-01-01
To study meson properties, one needs to solve the gap equation for the quark propagator and the Bethe-Salpeter (BS) equation for the meson wavefunction, self-consistently. The gluon propagator, the quark-gluon vertex, and the quark--anti-quark scattering kernel are key pieces to solve those equations. Predicted by lattice-QCD and Dyson-Schwinger analyses of QCD's gauge sector, gluons are non-perturbatively massive. In the matter sector, the modeled gluon propagator which can produce a veracious description of meson properties needs to possess a mass scale, accordingly. Solving the well-known longitudinal Ward-Green-Takahashi identities (WGTIs) and the less-known transverse counterparts together, one obtains a nontrivial solution which can shed light on the structure of the quark-gluon vertex. It is highlighted that the phenomenologically proposed anomalous chromomagnetic moment (ACM) vertex originates from the QCD Lagrangian symmetries and its strength is proportional to the magnitude of dynamical chiral symm...
Manten, A.A.
1966-01-01
The booklet Marble in Israel is announced to be the first in a series of reports on the mineral building commodities of Israel, which series will summarize the information available on the subject at the Quarries Section of the Israel Geological Survey and the Office of the Controller of Mines. Shad
Israel, CERN’s new Member State
Anaïs Schaeffer
2014-01-01
On Wednesday, 15 January 2014, the official Israeli Flag-raising Ceremony took place to mark the accession of Israel to Membership of CERN, bringing the Organization’s number of Member States to 21. For more information, click here.
Child Drama in Israel: Two Perspectives.
Furman, Lou
1987-01-01
Examines, through interviews with two prominent Israeli theatre teachers, the status of children's theatre in Israel at the present, and notes the problems with the types of children's theatre being produced, including the fact that children's plays are too didactic, and that there is little funding to produce them. (JC)
Hutsalyuk, A; Pakuliak, S Z; Ragoucy, E; Slavnov, N A
2016-01-01
We study scalar products of Bethe vectors in integrable models solvable by nested algebraic Bethe ansatz and possessing $\\mathfrak{gl}(2|1)$ symmetry. Using explicit formulas of the monodromy matrix entries multiple actions onto Bethe vectors we obtain a representation for the scalar product in the most general case. This explicit representation appears to be a sum over partitions of the Bethe parameters. It can be used for the analysis of scalar products involving on-shell Bethe vectors. As a by-product, we obtain a determinant representation for the scalar products of generic Bethe vectors in integrable models with $\\mathfrak{gl}(1|1)$ symmetry.
Experimental Drainage Basins in Israel
Laronne, J. B.; Lekach, J.; Cohen, H.; Gray, J.
2002-12-01
Within the hyper-arid to semiarid areas of Israel are three experimental drainage basins. They are the Nahal (stream in Hebrew) Yael, subdivided into five sub-basins, Rahaf-Qanna'im (main and tributary, respectively) and Eshtemoa. These basins vary in drainage area and climate, and in monitoring duration and type. All are drained by gravel-bed channels. As the size of monitored drainage area is limited, 3-4 additional representative basins covering areas of 300, 1000, 2000 and 8000 square kilometers will likely be implemented in the next decade. The basins have precipitation, runoff, sediment and fluviomorphological records. Each was conceived for differing purposes, but all share the common two objectives for the continuous monitoring: 1. Many hydrological issues may be approached if, and only if, there are prototype databases on a wide spectrum of hydrological processes; and 2. There is a need for long-term records to assess large floods and subsequent hydrologic and geomorphic recovery. Lessons derived from a large number of research projects on these experimental basins focus on characteristics of runoff in arid climates. For example, the effect of the spatial distribution of rainfall on runoff generation becomes increasingly important with aridity. Rainfall angle on hillslopes and storm intensity and direction derived from rainfall recorders and radar backscatter are crucial for explanation of runoff response. Runoff hydrographs tend to have more bores, shorter-duration peaks, briefer recessions, longer dry periods, and are more variable in terms of flood volume and peaks with increased aridity. Suspended-sediment fluxes, yields and concentrations are relatively large in the semiarid realm, reaching maxima at the beginning of a flood season and after long dry spells. Bedload fluxes are exceptionally high from dryland basins in which hillslopes are minimally vegetated and where bedload transport takes place in channels lacking an armor layer. Bedload
International Nuclear Information System (INIS)
The asymmetric simple exclusion process with open boundaries, which is a very simple model of out-of-equilibrium statistical physics, is known to be integrable. In particular, its spectrum can be described in terms of Bethe roots. The large deviation function of the current can be obtained as well by diagonalizing a modified transition matrix, which is still integrable: the spectrum of this new matrix can also be described in terms of Bethe roots for special values of the parameters. However, due to the algebraic framework used to write the Bethe equations in previous works, the nature of the excitations and the full structure of the eigenvectors remained unknown. This paper explains why the eigenvectors of the modified transition matrix are physically relevant, gives an explicit expression for the eigenvectors and applies it to the study of atypical currents. It also shows how the coordinate Bethe ansatz developed for the excitations leads to a simple derivation of the Bethe equations and of the validity conditions of this ansatz. All the results obtained by de Gier and Essler are recovered and the approach gives a physical interpretation of the exceptional points. The overlap of this approach with other tools such as the matrix ansatz is also discussed. The method that is presented here may be not specific to the asymmetric exclusion process and may be applied to other models with open boundaries to find similar exceptional points
Use of the Bethe equation for inner-shell ionization by electron impact
Powell, Cedric J.; Llovet, Xavier; Salvat, Francesc
2016-05-01
We analyzed calculated cross sections for K-, L-, and M-shell ionization by electron impact to determine the energy ranges over which these cross sections are consistent with the Bethe equation for inner-shell ionization. Our analysis was performed with K-shell ionization cross sections for 26 elements, with L-shell ionization cross sections for seven elements, L3-subshell ionization cross sections for Xe, and M-shell ionization cross sections for three elements. The validity (or otherwise) of the Bethe equation could be checked with Fano plots based on a linearized form of the Bethe equation. Our Fano plots, which display theoretical cross sections and available measured cross sections, reveal two linear regions as predicted by de Heer and Inokuti [in Electron Impact Ionization, edited by T. D. Märk and G. H. Dunn, (Springer-Verlag, Vienna, 1985), Chap. 7, pp. 232-276]. For each region, we made linear fits and determined values of the two element-specific Bethe parameters. We found systematic variations of these parameters with atomic number for both the low- and the high-energy linear regions of the Fano plots. We also determined the energy ranges over which the Bethe equation can be used.
Topologically Twisted SUSY Gauge Theory, Gauge-Bethe Correspondence and Quantum Cohomology
Chung, Hee-Joong
2016-01-01
We calculate partition function and correlation functions in A-twisted 2d $\\mathcal{N}=(2,2)$ theories and topologically twisted 3d $\\mathcal{N}=2$ theories containing adjoint chiral multiplet with particular choices of $R$-charges and the magnetic fluxes for flavor symmetries. According to Gauge-Bethe correspondence, they correspond to Heisenberg XXX and XXZ spin chain models. We identify the partition function as the inverse of the norm of the Bethe eigenstates. Correlation functions are identified as the coefficients of the expectation value of Baxter $Q$-operators. In addition, we consider correlation functions of 2d $\\mathcal{N}=(2,2)^*$ theory and their relation to equivariant quantum cohomology and equivariant integration of cotangent bundle of Grassmann manifolds. Also, we study the ring relations of supersymmetric Wilson loops in 3d $\\mathcal{N}=2^*$ theory and Bethe subalgebra of XXZ spin chain model.
Algebraic and geometric properties of Bethe Ansatz eigenfunctions on a pentagonal magnetic ring
International Nuclear Information System (INIS)
The exact solution of the eigenproblem of the Heisenberg Hamiltonian for the XXX model in the case of a magnetic ring with N=5 nodes is presented in a closed algebraic form. It is demonstrated that the eigenproblem itself is expressible within the extension of the prime field Q of rationals by the primitive fifth root of unity, whereas the associated Bethe parameters, i.e. pseudomomenta, phases of scattering, and spectral parameters, require some finite field extensions, such that the nonlinearity remains algebraic rather than transcendental. Classification of exact Bethe Ansatz eigenstates in terms of rigged string configurations is presented. -- Research Highlights: → The eigenproblem is expressed in a finite extension of the field Q. → The Galois symmetry gives rise to operators which reproduce the energy band structure. → Original Bethe parameters can be derived by the inverse BA problem. → String hypothesis, expected to work as N goes to infinity, is almost satisfied for N=5.
Modified Bethe formula for low-energy electron stopping power without fitting parameters
International Nuclear Information System (INIS)
We propose a modified Bethe formula for low-energy electron stopping power without fitting parameters for a wide range of elements and compounds. This formula maintains the generality of the Bethe formula and gives reasonable agreement in comparing the predicted stopping powers for 15 elements and 6 compounds with the experimental data and those calculated within dielectric theory including the exchange effect. Use of the stopping power obtained from this formula for hydrogen silsesquioxane in Monte Carlo simulation gives the energy deposition distribution in consistent with the experimental data. - Highlights: • We propose a modified Bethe formula for low-energy electron stopping power without fitting parameters. • Our formula is found based on the stopping power calculated by the dielectric theory including the exchange effect. • We calculate the energy deposition distribution of 3 keV electrons in 15 nm HSQ resist layer on Si substrate
Modeling dynamical electron scattering with Bethe potentials and the scattering matrix.
Wang, A; De Graef, M
2016-01-01
Bethe potentials were introduced by Bethe in 1928 as a first order perturbation approach to reducing the number of diffracted beams in dynamical electron scattering problems. The approach starts from the Bloch wave representation, and uses a threshold criterion to split the diffracted beams into two subsets, namely strong and weak beams. Since the use of Bloch wave based Bethe potentials for defect simulations is somewhat tedious, this paper applies the perturbation approach to the scattering matrix formalism, which is more readily adaptable for defect image simulations. The size of the dynamical matrix, and hence the computation time, can be reduced significantly. A threshold criterion for the separation of scattered beams into strong and weak sets is introduced. A general guideline in setting the threshold for strong or weak beam selection is discussed along with several parameters that may influence the threshold values, such as atomic number, accelerating voltage, structure complexity, incident beam tilt and temperature. PMID:26433091
The Barkas-Effect Correction to Bethe-Bloch Stopping Power
Porter, L. E.
A brief history of the discovery of the Barkas-effect correction to the Bethe-Bloch stopping power formula is presented, followed by a recounting of the initial theoretical calculations prepared as a quantitative explanation. A current version of the modified Bethe-Bloch formula is described in detail. An overview of the current capability to assess the validity of several existing formalisms for calculating the Barkas-effect correction term is provided, in the course of which discussion of numerous sources of uncertainty ensues. Finally, an opinion on the significance of this departure from Bethe-Bloch theory is offered, along with a presentation of a few recent developments and of some areas for focus in future exploration in the field of the stopping power of matter for charged particles.
Bethe Ansatz and exact form factors of the O(N) Gross Neveu-model
Babujian, Hrachya M; Karowski, Michael
2015-01-01
We apply the algebraic nested O(N) Bethe Ansatz to construct a general form factor formula for the O(N) Gross-Neveu model. We examine this formula for several operators, such as the energy momentum, the spin-field and the current. We also compare these results with the 1/N expansion of this model and obtain full agreement. We discuss bound state form factors, in particular for the three particle form factor of the field. In addition for the two particle case we prove a recursion relation for the K-functions of the higher level Bethe Ansatz.
Bethe Ansatz and exact form factors of the O ( N) Gross Neveu-model
Babujian, Hrachya M.; Foerster, Angela; Karowski, Michael
2016-02-01
We apply previous results on the O ( N) Bethe Ansatz [1-3] to construct a general form factor formula for the O ( N) Gross-Neveu model. We examine this formula for several operators, such as the energy momentum, the spin-field and the current. We also compare these results with the 1 /N expansion of this model and obtain full agreement. We discuss bound state form factors, in particular for the three particle form factor of the field. In addition for the two particle case we prove a recursion relation for the K-functions of the higher level Bethe Ansatz.
Bethe Ansatz Matrix Elements as Non-Relativistic Limits of Form Factors of Quantum Field Theory
Kormos, M.; Mussardo, G.; Pozsgay, B.
2010-01-01
We show that the matrix elements of integrable models computed by the Algebraic Bethe Ansatz can be put in direct correspondence with the Form Factors of integrable relativistic field theories. This happens when the S-matrix of a Bethe Ansatz model can be regarded as a suitable non-relativistic limit of the S-matrix of a field theory, and when there is a well-defined mapping between the Hilbert spaces and operators of the two theories. This correspondence provides an efficient method to compu...
Energy Technology Data Exchange (ETDEWEB)
Milewski, J., E-mail: jsmilew@wp.pl [Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań (Poland); Lulek, B., E-mail: barlulek@amu.edu.pl [East European State Higher School, ul. Tymona Terleckiego 6, 37-700 Przemyśl (Poland); Lulek, T., E-mail: tadlulek@prz.edu.pl [Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań (Poland); East European State Higher School, ul. Tymona Terleckiego 6, 37-700 Przemyśl (Poland); Łabuz, M., E-mail: labuz@univ.rzeszow.pl [University of Rzeszow, Institute of Physics, Rejtana 16a, 35-959 Rzeszów (Poland); Stagraczyński, R., E-mail: rstag@prz.edu.pl [Rzeszow University of Technology, The Faculty of Mathematics and Applied Physics, Powstańców Warszawy 6, 35-959 Rzeszów (Poland)
2014-02-01
The exact Bethe eigenfunctions for the heptagonal ring within the isotropic XXX model exhibit a doubly degenerated energy level in the three-deviation sector at the centre of the Brillouin zone. We demonstrate an explicit construction of these eigenfunctions by use of algebraic Bethe Ansatz, and point out a relation of degeneracy to parity conservation, applied to the configuration of strings for these eigenfunctions. Namely, the internal structure of the eigenfunctions (the 2-string and the 1-string, with opposite quasimomenta) admits generation of two mutually orthogonal eigenfunctions due to the fact that the strings which differ by their length are distinguishable objects.
Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
International Nuclear Information System (INIS)
We consider the algebraic Bethe ansatz solution of the integrable and isotropic XXX-S Heisenberg chain with non-diagonal open boundaries. We show that the corresponding K-matrices are similar to diagonal matrices with the help of suitable transformations independent of the spectral parameter. When the boundary parameters satisfy certain constraints we are able to formulate the diagonalization of the associated double-row transfer matrix by means of the quantum inverse scattering method. This allows us to derive explicit expressions for the eigenvalues and the corresponding Bethe ansatz equations. We also present evidences that the eigenvectors can be build up in terms of multiparticle states for arbitrary S
Hofstadter Problem on the Honeycomb and Triangular Lattices: Bethe Ansatz Solution
Kohmoto, M.; Sedrakyan, A.
2006-01-01
We consider Bloch electrons on the honeycomb lattice under a uniform magnetic field with $2 \\pi p/q$ flux per cell. It is shown that the problem factorizes to two triangular lattices. Treating magnetic translations as Heisenberg-Weyl group and by the use of its irreducible representation on the space of theta functions, we find a nested set of Bethe equations, which determine the eigenstates and energy spectrum. The Bethe equations have simple form which allows to consider them further in the...
The Range of Threats against Israel
Directory of Open Access Journals (Sweden)
Yaakov Amidror
2010-06-01
Full Text Available This essay focuses primarily on the threats against the State of Israel and touches little on the responses to these threats. Over the last sixty years, the threats Israel has been forced to tackle have assumed different emphases, but the fundamental principle for understanding them has not changed, namely: the world around us, the Arab world, most of the Muslim world – not necessarily “most” in the numerical-statistical terms, but in terms of those determining the outlook of that world – does not consent to the existence of an independent, sovereign Jewish state in the heart of the Middle East and will do whatever it takes to destroy it.
Hyperinflation in Brazil, Israel, and Nicaragua revisited
Szybisz, M. A.; Szybisz, L.
2016-01-01
The aim of this work is to address the description of hyperinflation regimes in economy. The spirals of hyperinflation developed in Brazil, Israel, and Nicaragua are revisited. This new analysis of data indicates that the episodes occurred in Brazil and Nicaragua can be understood within the frame of the model available in the literature, which is based on a nonlinear feedback (NLF) characterized by an exponent $\\beta>0$. In the NLF model the accumulated consumer price index carries a finite ...
Criminal Mediation for Minors in Israel
Isack Kandel; Yael Arie; Sharon Glasner
2007-01-01
Mediation was introduced in Canada in 1974 in order to handle a crime of robbery and vandalization committed by adolescents. After mediation, these adolescents agreed to apologize to each of their victims and pay restitution. Several countries (Canada, England, Finland, and the U.S.) have now made this opportunity available in the cases of young offenders. This review describes the process in the south of Israel. We find this method very powerful, but further studies are needed. Due to resour...
Macroeconomic Effects of Terrorist Shocks in Israel
Denis Larocque; Geneviève Lincourt; Michel Normandin
2008-01-01
This paper estimates a structural vector autoregression model to assess the dynamic effects of terrorism on output and prices in Israel over the post-1985 period. Long-run restrictions are used to obtain an interpretation of the effects of terrorism in terms of aggregate demand and supply curves. The empirical responses of output and prices suggest that the immediate effects of terrorism are similar to those associated with a negative demand shock. Such leftward shift of the aggregate demand ...
Facial image of Biblical Jews from Israel.
Kobyliansky, E; Balueva, T; Veselovskaya, E; Arensburg, B
2008-06-01
The present report deals with reconstructing the facial shapes of ancient inhabitants of Israel based on their cranial remains. The skulls of a male from the Hellenistic period and a female from the Roman period have been reconstructed. They were restored using the most recently developed programs in anthropological facial reconstruction, especially that of the Institute of Ethnology and Anthropology of the Russian Academy of Sciences (Balueva & Veselovskaya 2004). The basic craniometrical measurements of the two skulls were measured according to Martin & Saller (1957) and compared to the data from three ancient populations of Israel described by Arensburg et al. (1980): that of the Hellenistic period dating from 332 to 37 B.C., that of the Roman period, from 37 B.C. to 324 C.E., and that of the Byzantine period that continued until the Arab conquest in 640 C.E. Most of this osteological material was excavated in the Jordan River and the Dead Sea areas. A sample from the XVIIth century Jews from Prague (Matiegka 1926) was also used for osteometrical comparisons. The present study will characterize not only the osteological morphology of the material, but also the facial appearance of ancient inhabitants of Israel. From an anthropometric point of view, the two skulls studied here definitely belong to the same sample from the Hellenistic, Roman, and Byzantine populations of Israel as well as from Jews from Prague. Based on its facial reconstruction, the male skull may belong to the large Mediterranean group that inhabited this area from historic to modern times. The female skull also exhibits all the Mediterranean features but, in addition, probably some equatorial (African) mixture manifested by the shape of the reconstructed nose and the facial prognatism. PMID:18712157
Electro-optics and lasers in Israel
Van Zwaren, Joesph
1992-05-01
With over 3,000 scientists, engineers, and technicians spread out in some 86 companies, and in 10 universities and research institutes, all within less than a 2 hour drive from one another, Israel has no doubt one of the largest concentrations of researchers and skilled manpower in electro-optics and lasers in the world. This report presents an up-to-date picture of the field in Israel, covering the industry, academia and education. The recent wave of Russian immigration is bringing thousands of scientists and tens of thousands of engineers and is expected to make an impact on the field of electro-optics and lasers. A million immigrants from Russia are expected to come between 1990 and 1995. There were 3,700 scientists and 2,800 engineers among the first 200,000 Soviet immigrants. As most of this qualified manpower can not be expected to be absorbed by the existing industry, the Israeli government is actively encouraging local and foreign investors and local and multinational companies to help develop new and expanded high-tech enterprises in Israel. The Ministry of Industry and Trade has embarked upon a broad ranged program for industrial growth and immigrant absorption with the goal of doubling technology-based exports in the next four years. The Ministry of Science and Technology has started a program supporting R&D projects at the different universities for immigrant scientists with the goal of capitalizing on the talents of the newcomers to strengthen academia.
Israel-New natural gas producer in the Mediterranean
International Nuclear Information System (INIS)
In 2009 and 2010, major offshore natural gas reserves were discovered near the State of Israel. This article examines Israel's newly discovered natural gas reserves and the implications of this discovery for Israel, the Middle East, and the Mediterranean region. The article will discuss Israel's energy security approach; the role of natural gas in Israel's energy consumption patterns; the organization of Israel's natural gas sector; regional political and security implications of the natural gas discoveries; the prospects for export, and the outlook for various natural gas markets. These new discoveries significantly improve Israel's energy security. They may also spur Israel to develop technologies related to utilization of natural gas in a variety of sectors, such as transportation. The discoveries may contribute to the emergence of a number of maritime border delimitation conflicts in the Eastern Mediterranean. At current volumes, the Israeli discoveries will not be a game-changer for gas markets in southern Europe or liquefied natural gas (LNG) markets. However, they will lead to expanded natural gas consumption in the region. In addition, offshore exploration efforts in Israel and in neighboring countries are intensifying. Additional discoveries may turn the Eastern Mediterranean region into a new source of natural gas and oil. - Highlights: → In 2009 and 2010, major natural gas deposits were discovered offshore of Israel's port city of Haifa. → They will satisfy a large portion of Israel's domestic energy consumption needs for a number of decades. → The gas discoveries have created an opportunity to fundamentally change the country's energy policies. → Additional discoveries may turn the Eastern Mediterranean region into a new source of natural gas and oil. → Israel could become a supplier of natural gas to neighbors in the Middle East region, such as Jordan.
THE PALESTINIAN LABOUR IN ISRAEL: INDICATIONS OF INTERNAL COLONIALISM
SAYIN, Özgür
2015-01-01
The property and production structure in the occupied territories of the West Bank and Gaza, and employment of Palestinians in the Israeli labour market is changing. The concept of internal colonialism offers a better understanding about the economic concerns of Israel on the occupied territories than imperialism or sub-imperialism. This is because the relationship between Israel and the occupied territories has an ethnic characteristic, and additionally, Israel cannot be easily explained as ...
Community healthcare in Israel: quality indicators 2007-2009
Jaffe Dena H; Shmueli Amir; Ben-Yehuda Arie; Paltiel Ora; Calderon Ronit; Cohen Arnon D; Matz Eran; Rosenblum Joseph K; Wilf-Miron Rachel; Manor Orly
2012-01-01
Abstract Background The National Program for Quality Indicators in Community Healthcare in Israel (QICH) was developed to provide policy makers and consumers with information on the quality of community healthcare in Israel. In what follows we present the most recent results of the QICH indicator set for 2009 and an examination of changes that have occurred since 2007. Methods Data for 28 quality indicators were collected from all four health plans in Israel for the years 2007-2009. The QICH ...
Israel-New natural gas producer in the Mediterranean
Energy Technology Data Exchange (ETDEWEB)
Shaffer, Brenda, E-mail: bshaffer@univ.haifa.ac.il [School of Political Sciences, University of Haifa, Mount Carmel, Haifa 31905 (Israel)
2011-09-15
In 2009 and 2010, major offshore natural gas reserves were discovered near the State of Israel. This article examines Israel's newly discovered natural gas reserves and the implications of this discovery for Israel, the Middle East, and the Mediterranean region. The article will discuss Israel's energy security approach; the role of natural gas in Israel's energy consumption patterns; the organization of Israel's natural gas sector; regional political and security implications of the natural gas discoveries; the prospects for export, and the outlook for various natural gas markets. These new discoveries significantly improve Israel's energy security. They may also spur Israel to develop technologies related to utilization of natural gas in a variety of sectors, such as transportation. The discoveries may contribute to the emergence of a number of maritime border delimitation conflicts in the Eastern Mediterranean. At current volumes, the Israeli discoveries will not be a game-changer for gas markets in southern Europe or liquefied natural gas (LNG) markets. However, they will lead to expanded natural gas consumption in the region. In addition, offshore exploration efforts in Israel and in neighboring countries are intensifying. Additional discoveries may turn the Eastern Mediterranean region into a new source of natural gas and oil. - Highlights: > In 2009 and 2010, major natural gas deposits were discovered offshore of Israel's port city of Haifa. > They will satisfy a large portion of Israel's domestic energy consumption needs for a number of decades. > The gas discoveries have created an opportunity to fundamentally change the country's energy policies. > Additional discoveries may turn the Eastern Mediterranean region into a new source of natural gas and oil. > Israel could become a supplier of natural gas to neighbors in the Middle East region, such as Jordan.
Hybridity and Israelâ€™s Democratic Order
Ayelet Harel-Shalev; Ilan Peleg
2014-01-01
This article deals with the quality of Israelâ€™s democracy from the perspective of what it views as the fundamentally hybrid nature of the Israeli regime. From its inception, Israel has been committed to two seemingly conflicting sets of values, one universal (reflected in democratic institutions, practices and ideals) and the other particularistic (reflected in national institutions benefitting a segment of the Israeli population). This article examines the most recent trends in Israelâ€™s ...
Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
Sanchis-Alepuz, Helios
2015-01-01
In these proceedings we present a mini-review on the topic of the Dyson-Schwinger/Bethe-Salpeter approach to the study of relativistic bound-states in physics. In particular, we present a self-contained discussion of their derivation, as well as their truncation such that important symmetries are maintained.
Normalization and perturbation theory for tightly bound states of the spinor Bethe-Salpeter equation
L.G. Suttorp
1976-01-01
The normalisation integrals for the tightly-bound-state solutions of the spinor Bethe-Salpeter equation that have been derived recently are evaluated. Ghost states are found to appear when the continuous parameters characterising the type of fermion-boson interaction reach a critical value. Perturba
Exact solutions of the spinor Bethe-Salpeter equation for tightly bound states
L.G. Suttorp
1975-01-01
Exact solutions are obtained for the spinor Bethe-Salpeter equation that describes tightly bound states of spin-/sup 1///sub 2/ fermions with massless-boson exchange. The corresponding coupling constants form a discrete spectrum that depends continuously on the parameters characterizing the type of
Non-regular eigenstate of the XXX model as some limit of the Bethe state
International Nuclear Information System (INIS)
For the one-dimensional XXX model under the periodic boundary conditions, we discuss two types of eigenvectors, regular eigenvectors which have finite-valued rapidities satisfying the Bethe ansatz equations and non-regular eigenvectors which are descendants of some regular eigenvectors under the action of the SU(2) spin-lowering operator. It has been pointed out by many authors that the non-regular eigenvectors should correspond to the Bethe ansatz wavefunctions which have multiple infinite rapidities. However, it has not been explicitly shown whether such a delicate limiting procedure is possible. In this paper, we discuss it explicitly at the level of wavefunctions: we prove that any non-regular eigenvector of the XXX model is derived from the Bethe ansatz wavefunctions through some limit of infinite rapidities. We formulate the regularization also in terms of the algebraic Bethe ansatz method. As an application of infinite rapidity, we discuss the period of the spectral flow under the twisted periodic boundary conditions. (author)
Calculation of Spin Observables for Proton-Neutron Elastic Scattering in the Bethe-Salpeter Equation
Kinpara, Susumu
2016-01-01
Bethe-Salpeter equation is applied to $p$-$n$ elastic scattering. The spin observables are calculated by the M matrix similar to $p$-$p$ case. The parameters of the meson-exchange model are used with the cut-off for the pion exchange interaction. Change of the M matrix indicates breaking of the charge independence in the nucleon-nucleon system.
Wiegmann, P. B.; Zabrodin, A. V.
1993-01-01
We present a new approach to the problem of Bloch electrons in magnetic field,\\\\ by making explicit a natural relation between magnetic translations and the\\\\quantum group $U_{q}(sl_2)$. The approach allows to express the spectrum and\\\\\\ the Bloch function as solutions of the Bethe-Ansatz equations typical for com\\\\pletely integrable quantum systems
Dhar, Abhishek; Sriram Shastry, B.
2000-09-01
We present a calculation of the lowest excited states of the Heisenberg ferromagnet in 1D for any wave vector. These turn out to be string solutions of Bethe's equations with a macroscopic number of particles in them. They are identified as generalized quantum Bloch wall states, and a simple physical picture is provided for the same.
Dhar, Abhishek; Shastry, B. Sriram
2000-01-01
We present a calculation of the lowest excited states of the Heisenberg ferromagnet in 1-d for any wave vector. These turn out to be string solutions of Bethe's equations with a macroscopic number of particles in them. These are identified as generalized quantum Bloch wall states, and a simple physical picture provided for the same.
International Nuclear Information System (INIS)
The Born-Hartree-Bethe approximation for the calculation of total (elastic + inelastic) integral cross section for high-energy electron-atom and electron-molecule scattering containing no free parameter is formulated. Corresponding results are obtained for He, Ne, Ar, Kr, Xe, H2 and N2 and compared with experimental data.
Stochastic integration of the Bethe-Salpeter equation for two bound fermions
International Nuclear Information System (INIS)
A non-perturbative method using a Monte Carlo algorithm is used to integrate the Bethe-Salpeter equation in momentum space. Solutions for two scalars and two fermions with an arbitrary coupling constant are calculated for bound states in the ladder approximation. The results are compared with other numerical methods. (Author) (13 refs., 2 figs.)
The solar energy in Israel; L'energie solaire en Israel
Energy Technology Data Exchange (ETDEWEB)
Bocquet, L
2004-05-01
The solar energy is an important characteristic of Israel, listed in its history and its development. This document presents the solar energy applications in the country in many domains: the solar energy for residential houses, the applications in the agricultural and industrial sectors and the research and development programs. (A.L.B.)
"Why Israel?" Re-Viewing Israel Education through the Lenses of Civic and Political Engagement
Pomson, Alex; Held, Daniel
2012-01-01
This article takes up categories from literature on political and civic engagement to help make sense of data collected from interviews with 40 American Jewish day high school students about what they think and feel about Israel. Viewed through a set of lenses that distinguish between the manifestations and motivations of political and civic…
Educational Travel to Israel in the Era of Globalization
Ezrachi, Elan
2015-01-01
Travel to Israel has been a central feature of Jewish and Zionist education yet it is time for this educational travel to be examined in the context of current cultural trends of travel and transnational experiences. The Jewish educational community has not yet internalized the impact of global trends on the field of travel to Israel from a…
Israel's Bir Zeit University: A Center for Palestinian Nationalism.
Clark, Staughton
1981-01-01
Located in Israel's West Bank area, BirZeit University has always been and remains the central incubator of West Bank intellectual radicalism in Israel. The majority of law-abiding, serious students are actually afraid, or intimidated, of speaking out against the PLO or its campus supporters. (MLW)
7 CFR 319.56-49 - Eggplant from Israel.
2010-01-01
... the pests listed in 7 CFR 319.56-49.” ... 7 Agriculture 5 2010-01-01 2010-01-01 false Eggplant from Israel. 319.56-49 Section 319.56-49... from Israel. Eggplant (Solanum melongena L.) may be imported into the continental United States...
75 FR 75151 - International Service Changes-Israel
2010-12-02
... INFORMATION: On July 9, 2010, the Postal Service published a proposed rule Federal Register notice (75 FR... 20 International Service Changes--Israel AGENCY: Postal Service TM . ACTION: Final rule. SUMMARY: The... Listings to incorporate a change in Israel's First-Class Mail International price group. DATES:...
Israel – Kultur(en) der Migration
Baumann, Julia
2014-01-01
Flüchtlingsbewegungen aus häufig kriegszerstörten Ländern in die sogenannte „westliche Welt“ prägen gerade in letzter Zeit die öffentlichen Berichterstattungen. Der Umgang mit Flüchtlingen fällt Politik und Gesellschaft in den Ankunftsländern meist schwer, da sie bestehende Ordnungssysteme und nationale Identitäten zu bedrohen scheinen. Seit dem Jahr 2008 ist auch Israel Ziel vieler Flüchtlinge. Die Ankunft von über 60.000 afrikanischer Einwanderer und Einwanderinnen bis 2014, vor allem aus E...
Criminal mediation for minors in Israel.
Kandel, Isack; Arie, Yael; Glasner, Sharon
2007-01-01
Mediation was introduced in Canada in 1974 in order to handle a crime of robbery and vandalization committed by adolescents. After mediation, these adolescents agreed to apologize to each of their victims and pay restitution. Several countries (Canada, England, Finland, and the U.S.) have now made this opportunity available in the cases of young offenders. This review describes the process in the south of Israel. We find this method very powerful, but further studies are needed. Due to resource problems, it will not become mainstream in the near future. PMID:17334626
Market, Government, and Israel's Muted Baby Boom
Yoram Ben-Porath
1985-01-01
Cohorts born in Israel since the late 1910s were approximately 70 percent larger than earlier cohorts. This brought about changes in the age structure that are even more dramatic than the American baby boom.This paper follows the impact of the large cohorts on the school system and on the labor market, emphasizing the role played by the public sector. In terms of the number of teaching posts the school system demonstrated on the whole a very prompt ability to adjust to the pressure of high nu...
Perspectives on labour migration in Israel
Willen, Sarah S.
2006-01-01
The Setting: Tel Aviv’s Central Bus Station, “capital of the foreign workers”Half a century after the establishment of the State of Israel, a stranger meandering through Tel Aviv’s labyrinthian, seven-story Central Bus Station would be surprised to hear not just Hebrew, or even just Israel’s recognized languages of Hebrew and Arabic, Russian and Amharic, but rather a global cacophony of languages: Tagalog and Romanian, Nigerian languages like Igbo and Yoruba, and Ghanaian languages like Twi a...
Israel Atomic Energy Commission 1997 Annual Report
International Nuclear Information System (INIS)
The 1997 Annual Report is published in a special year for Israel, marking the 50th anniversary of its independece and statehood. From its inception, and the election of a distinguished scientist as its first president, Israel has regarded science and technology as a central pillar for future AEC development and a lever for improved quality of life of its people. The Israel Atomic Energy Commission, which will be celebrating its own anniversary in a few years, has made a modest but significant contribution to the establishment and growth of the technological infrastructure of the country. The first article in this Annual Report focuses attention on yet another aspect of our continuing investigation of the basic properties of technologically interesting and important materials, presented in our 1994 and 1996 Annual Reports. The current entry describes an application of the nuclear Time Differential Perturbed Angular Correlation technique to the study of the structure and properties of metal-hydrogen compounds, of potential interest within the framework of future, environmentally attractive hydrogen-burning energy systems, and in fusion power reactors. The second article also relates to some basic aspects of nuclear fusion. A theoretical study of the behavior and properties of laser-generated hot plasmas resulted in the proposal of a new confinement scheme, in which a plasma generated by circularly polarized laser light is confined in a miniature magnetic bottle created by magnetic fields induced in the plasma by the same light. The paper discusses the conditions under which such confinement and ensuing energy gain may be achieved. Measurements of actual axial magnetic fields generated in plasma by intense circularly polarized laser light are also reported. The third report describes one of our ongoing efforts to improve and streamline the techniques and procedures used in medical applications of radioisotopes. Replacement of the customary )311 solutions for
International Nuclear Information System (INIS)
The Chairman of the Board of Governors has received a letter dated 27 November 2007 from the Resident Representative of Israel, concerning usage of the official name of the State of Israel in the meetings of the Board. As requested in the letter, it is herewith circulated for information
[The beginnings of orthopedic surgery in Israel].
Tauber, Chanan
2013-08-01
In early mandatory Israel, orthopedics was mainly conservative, The first modern orthopedic surgeon was Ernst Spira from Czechoslovakia who established an orthopedic service at the Beilinson Hospital in Petah Tikva and left in 1948 to establish the Orthopedic Department and the Rehabilitation Center in Tel Hashomer, which treated the War of Independence casualties including amputees and victims of spinal cord injuries. A second orthopedic department was opened in Tel Hashomer by Shmuel Weissman who left in 1961 to open the Orthopedic Department at the Ichilov hospital in Tel Aviv. Shmuel Weissman became the first Chairman of Orthopedic Surgery at the Tel Aviv University medical school. In 1955, Myer Makin opened a modern orthopedic department in the Hadassah Hospital in Jerusalem and the Alyn Hospital for crippled children. In 1951, Assaf Harofeh Hospital opened the Department of Orthopedic Surgery headed by Anatol Axer who specialized in the treatment and rehabilitation of polio patients. The majority of the second generation of orthopedic department directors was trained by these four surgeons. Major developments in the 1960s and 1970s were the introduction of the AO system revolutionizing fracture treatment from conservative to operative treatment, the advent of total hip and knee replacements, Harrington instrumentation in spinal surgery and arthroscopy were major advances in orthopedic patient care brought to Israel by the aforementioned second generation of orthopedic surgeons. Hand surgery became an independent subspecialty of orthopedics and was lead by the internationally renowned hand surgeon, Isidore Kessler. PMID:24167938
Israel seeks exemption from atomic rules
International Nuclear Information System (INIS)
Israel is looking to a U.S.-India nuclear deal to expand its own ties to suppliers, quietly lobbying for an exemption to non-proliferation rules so it can legally import atomic material, according to documents made available to the Associated Press. The new push is reflected in papers Israel presented earlier this year to the Nuclear Suppliers Group. The initiative appeared to be linked to a U.S.-India deal that would effectively waive the group's rules by allowing the United States to supply India with nuclear fuel despite its refusal both to sign the nonproliferation treaty and allowing the IAEA to inspect all its nuclear facilities. Israeli officials began examining how their country could profit from the U.S.-India deal as early as last year, at one point proposing that the U.S. ask for an exemption from restrictions stipulating safeguards by the U.N. nuclear agency on all nuclear facilities. The U.S. rejected that request, demanding anonymity for discussing restricted information.
Global Culture in Practice. A Look at Children and Adolescents in Denmark, France and Israel
DEFF Research Database (Denmark)
Stald, Gitte Bang; Lemish, Dafna; Drotner, Kirsten
1998-01-01
Childern,young people,adolescents,media,globalisation,global culture,Denmark,France,Israel,national culture,television,transnational fiction preferences,hybrid culture,music,new mediaIsrael,......Childern,young people,adolescents,media,globalisation,global culture,Denmark,France,Israel,national culture,television,transnational fiction preferences,hybrid culture,music,new mediaIsrael,...
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity
Gainutdinov, Azat M
2016-01-01
For generic values of q, all the eigenvectors of the transfer matrix of the U_q sl(2)-invariant open spin-1/2 XXZ chain with finite length N can be constructed using the algebraic Bethe ansatz (ABA) formalism of Sklyanin. However, when q is a root of unity (q=exp(i pi/p) with integer p>1), the Bethe equations acquire continuous solutions, and the transfer matrix develops Jordan cells. Hence, there appear eigenvectors of two new types: eigenvectors corresponding to continuous solutions (exact complete p-strings), and generalized eigenvectors. We propose general ABA constructions for these two new types of eigenvectors. We present many explicit examples, and we construct complete sets of (generalized) eigenvectors for various values of p and N.
Analysis of the Bethe-ansatz equations of the chiral-invariant Gross-Neveu model
International Nuclear Information System (INIS)
The Bethe-ansatz equations of the chiral-invariant Gross-Neveu model are reduced to a simple form in which the parameters of the vacuum solution have been eliminated. The resulting system of equations involves only the rapidities of physical particles and a minimal set of complex parameters needed to distinguish the various internal symmetry states of these particles. The analysis is performed without invoking the time-honored assumption that the solutions of the Bethe-ansatz equations, in the infinite-volume limit, are comprised entirely of strings ('bound states'). Surprisingly, it is found that the correct description of the n-particle states involves no strings of length greater than two (except for special values of the momenta). (orig.)
G/G gauged WZW model and Bethe Ansatz for the phase model
Okuda, Satoshi
2012-01-01
We investigate the G/G gauged Wess-Zumino-Witten model on a Riemann surface from the point of view of the algebraic Bethe Ansatz for the phase model. After localization procedure is applied to the G/G gauged Wess-Zumino-Witten model, the diagonal components for group elements satisfy Bethe Ansatz equations for the phase model. We show that the partition function of the G/G gauged Wess-Zumino-Witten model is identified as the summation of norms with respect to all the eigenstates of the Hamiltonian with the fixed number of particles in the phase model. We also consider relations between the Chern-Simons theory on $S^1\\times\\Sigma_h$ and the phase model.
Accuracy of the Bethe approximation for hyperparameter estimation in probabilistic image processing
International Nuclear Information System (INIS)
We investigate the accuracy of statistical-mechanical approximations for the estimation of hyperparameters from observable data in probabilistic image processing, which is based on Bayesian statistics and maximum likelihood estimation. Hyperparameters in statistical science correspond to interactions or external fields in the statistical-mechanics context. In this paper, hyperparameters in the probabilistic model are determined so as to maximize a marginal likelihood. A practical algorithm is described for grey-level image restoration based on a Gaussian graphical model and the Bethe approximation. The algorithm corresponds to loopy belief propagation in artificial intelligence. We examine the accuracy of hyperparameter estimation when we use the Bethe approximation. It is well known that a practical algorithm for probabilistic image processing can be prescribed analytically when a Gaussian graphical model is adopted as a prior probabilistic model in Bayes' formula. We are therefore able to compare, in a numerical study, results obtained through mean-field-type approximations with those based on exact calculation
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity
Directory of Open Access Journals (Sweden)
Azat M. Gainutdinov
2016-08-01
Full Text Available For generic values of q, all the eigenvectors of the transfer matrix of the Uqsl(2-invariant open spin-1/2 XXZ chain with finite length N can be constructed using the algebraic Bethe ansatz (ABA formalism of Sklyanin. However, when q is a root of unity (q=eiπ/p with integer p≥2, the Bethe equations acquire continuous solutions, and the transfer matrix develops Jordan cells. Hence, there appear eigenvectors of two new types: eigenvectors corresponding to continuous solutions (exact complete p-strings, and generalized eigenvectors. We propose general ABA constructions for these two new types of eigenvectors. We present many explicit examples, and we construct complete sets of (generalized eigenvectors for various values of p and N.
A new integral representation for the scalar products of Bethe states for the XXX spin chain
Kazama, Yoichi; Komatsu, Shota; Nishimura, Takuya
2013-09-01
Based on the method of separation of variables due to Sklyanin, we construct a new integral representation for the scalar products of the Bethe states for the SU(2) XXX spin 1/2 chain obeying the periodic boundary condition. Due to the compactness of the symmetry group, a twist matrix must be introduced at the boundary in order to extract the separated variables properly. Then by deriving the integration measure and the spectrum of the separated variables, we express the inner product of an on-shell and an off-shell Bethe states in terms of a multiple contour integral involving a product of Baxter wave functions. Its form is reminiscent of the integral over the eigenvalues of a matrix model and is expected to be useful in studying the semi-classical limit of the product.
A new integral representation for the scalar products of Bethe states for the XXX spin chain
Kazama, Yoichi; Nishimura, Takuya
2013-01-01
Based on the method of separation of variables due to Sklyanin, we construct a new integral representation for the scalar products of the Bethe states for the SU(2) XXX spin 1/2 chain obeying the periodic boundary condition. Due to the compactness of the symmetry group, a twist matrix must be introduced at the boundary in order to extract the separated variables properly. Then by deriving the integration measure and the spectrum of the separated variables, we express the inner product of an on-shell and an off-shell Bethe states in terms of a multiple contour integral involving a product of Baxter wave functions. Its form is reminiscent of the integral over the eigenvalues of a matrix model and is expected to be useful in studying the semi-classical limit of the product.
Solving the inhomogeneous Bethe-Salpeter Equation in Minkowski space: the zero-energy limit
Frederico, T; Viviani, M
2015-01-01
For the first time, the inhomogeneous Bethe-Salpeter Equation for an interacting system, composed by two massive scalars exchanging a massive scalar, is numerically investigated in ladder approximation, directly in Minkowski space, by using an approach based on the Nakanishi integral representation. In this paper, the limiting case of zero-energy states is considered, extending the approach successfully applied to bound states presented in Phys. Rev. D 89, (2014) 016010, where the Nakanishi integral representation has been exploited for solving the homogeneous Bethe-Salpeter Equation. The numerical values of scattering lengths, evaluated by using two different integral equations that stem within the Nakanishi framework, are compared with the analogous quantities recently obtained, within a totally different framework. Moreover, relevant functions, like the Nakanishi weight functions and the distorted part of the zero-energy Light-front wave functions are also presented. Interestingly, a highly non trivial iss...