Absolute transition probabilities of phosphorus.
Miller, M. H.; Roig, R. A.; Bengtson, R. D.
1971-01-01
Use of a gas-driven shock tube to measure the absolute strengths of 21 P I lines and 126 P II lines (from 3300 to 6900 A). Accuracy for prominent, isolated neutral and ionic lines is estimated to be 28 to 40% and 18 to 30%, respectively. The data and the corresponding theoretical predictions are examined for conformity with the sum rules.-
Absolute transition probabilities in Sc I and Sc II
Absolute atomic transition probabilities for emission lines from 70 levels in Sc I and Sc II are reported. The transition probabilities are from emission branching ratios measured using the 1.0-m Fourier-transform spectrometer at the National Solar Observatory. Radiative lifetimes, measured using time-resolved laser-induced fluorescence, provide the normalization for converting the branching ratios to absolute transition probabilities. These results are compared with other experimental and theoretical transition probabilities
Estimation of Transition Probabilities Using Median Absolute Deviations
Kim, C. S.; Schaible, Glenn D.
1988-01-01
The probability-constrained minimum absolute deviations (MAD) estimator appears to be superior to the probability-constrained quadratic programming estimator in estimating transition probabilities with limited aggregate time series data Futhermore, one can reduce the number of columns in the probability-constrained MAD simplex tableau by adopting the median property
Investigation of exotic nuclei with absolute transition probabilities
Transition probabilities are crucial for the understanding of nuclear structure. Deep inelastic reactions, knockout reactions and projectile Coulomb excitation with fast radioactive beams are suited to populate excited states in exotic nuclei. Examples are presented which demonstrate that recoil Doppler shift lifetime measurements can be applied successfully in combination with such reactions to measure level lifetimes.
Absolute Kr I and Kr II transition probabilities
Transition probabilities for 11 KrI and 9 KrII lines between 366.5 and 599.3nm were obtained from measurements with a wall-stabilised arc at atmospheric pressure in pure krypton. The population densities of the excited krypton levels were calculated under the assumption of LTE from electron densities measured by laser interferometry. The uncertainties for the KrI and the KrII data are 15 and 25% respectively. (author)
Parkinson, W. H.; Smith, P. L.; Yoshino, K.
1984-01-01
Progress in the investigation of absolute transition probabilities (A-values or F values) for ultraviolet lines is reported. A radio frequency ion trap was used for measurement of transition probabilities for intersystem lines seen in astronomical spectra. The intersystem line at 2670 A in Al II, which is seen in pre-main sequence stars and symbiotic stars, was studied.
Radiative lifetimes, branching rations, and absolute transition probabilities in Cr II and Zn II
Bergeson, S. D.; Lawler, J. E.
1993-01-01
New absolute atomic transition probability measurements are reported for 12 transitions in Cr II and two transitions in Zn II. These transition probabilities are determined by combining branching ratios measured by classical techniques and radiative lifetimes measured by time-resolved laser-induced fluorescence. The measurements are compared with branching fractions, radiative lifetimes, and transition probabilities in the literature. The 206 nm resonance multiplets in Cr II and Zn II are included in this work. These multiplets are very useful in determining the distribution of the elements in the gas versus grain phases in the interstellar medium.
Systematics of Absolute Gamma Ray Transition Probabilities in Deformed Odd-A Nuclei
Malmskog, S.G.
1965-11-15
All known experimentally determined absolute gamma ray transition probabilities between different intrinsic states of deformed odd-A nuclei in the rare earth, region (153 < A < 181) and in the actinide region (A {>=} 227) are compared with transition probabilities (Weisskopf and Nilsson estimate). Systematic deviations from the theoretical values are found. Possible explanations for these deviations are given. This discussion includes Coriolis coupling, {delta}K ={+-}2 band-mixing effects and pairing interaction.
Systematics of Absolute Gamma Ray Transition Probabilities in Deformed Odd-A Nuclei
All known experimentally determined absolute gamma ray transition probabilities between different intrinsic states of deformed odd-A nuclei in the rare earth, region (153 < A < 181) and in the actinide region (A ≥ 227) are compared with transition probabilities (Weisskopf and Nilsson estimate). Systematic deviations from the theoretical values are found. Possible explanations for these deviations are given. This discussion includes Coriolis coupling, ΔK =±2 band-mixing effects and pairing interaction
Absolute Transition Probabilities from the 453.1 keV Level in 183W
The half life of the 453.1 keV level in 183W has been measured by the delayed coincidence method to 18.4 ± 0.5 nsec. This determines twelve absolute M1 and E2 transition probabilities, out of which nine are K-forbidden. All transition probabilities are compared with the single particle estimate. The three K-allowed E2, ΔK = 2 transition rates to the 1/2- (510) rotational band are furthermore compared with the Nilsson model. An attempt to give a quantitative explanation of the observed transition rates has been made by including the effects from admixtures into the single particle wave functions
Absolute El Transition Probabilities in the Deformed Nuclei {sup 177}Yb and {sup 1}
Malmskog, Sven G.
1964-08-15
The absolute E1-transition probabilities have been measured for two 7/2{sup -} (514) levels populated from the short-lived isomers {sup 177m}Yb (6.4 sec) and {sup 179m}Hf (18.6 sec), a delayed coincidence set up being used for the purpose. This gave a half life of T{sub 1/2} = (4.48 {+-} 0.08)x10{sup -9} sec for the 104 keV level in {sup 177}Yb and T{sub 1/2} = (1.86 {+-} 0.05)x10{sup -9} sec for the 217 keV level in {sup 179}Hf. The result has been compared with the calculations made by Nilsson. The effect of the pairing correlation has also been taken into account. An agreement with the experimental values to within a factor of three is obtained. An extrapolated estimate of the half life for the 408.9 keV 7/2{sup -} (514) level in {sup 181}W gives 3x10{sup -11} sec.
Absolute El Transition Probabilities in the Deformed Nuclei 177Yb and Hf179
The absolute E1-transition probabilities have been measured for two 7/2- (514) levels populated from the short-lived isomers 177mYb (6.4 sec) and 179mHf (18.6 sec), a delayed coincidence set up being used for the purpose. This gave a half life of T1/2 = (4.48 ± 0.08)x10-9 sec for the 104 keV level in 177Yb and T1/2 = (1.86 ± 0.05)x10-9 sec for the 217 keV level in 179Hf. The result has been compared with the calculations made by Nilsson. The effect of the pairing correlation has also been taken into account. An agreement with the experimental values to within a factor of three is obtained. An extrapolated estimate of the half life for the 408.9 keV 7/2- (514) level in 181W gives 3x10-11 sec
Kwong, H. S.; Smith, P. L.; Parkinson, W. H.
1982-01-01
A new technique is presented for the measurement of transition probabilities for weak allowed, intersystem, and forbidden lines. The method exploits the fact that oscillator strength is proportional to the number of stimulated absorptions and emissions produced by a narrow-band laser pulse of known energy which is in resonance with an atomic transition. The method is tested for a particular transition of Mg I with a known oscillator strength value and of appropriate magnitude. The number densities are measured using a Mach-Zehnder interferometer and the hook method for the lower level population and by measuring an absorption-equivalent width for the other. The apparatus consisted of a high-power tunable laser and a magnesium oven to produce excited Mg vapor, and a laser-plasma background continuum. The results are in good agreement with theoretical and other experimental data.
Determination of absolute transition probabilities in 128Xe via projectile Coulomb excitation
Recently, lifetimes of low-lying excited states in 128Xe were measured using the plunger technique after projectile Coulomb excitation. This experiment was performed at the JYFL, Jyvaeskylae using the JUROGAM Ge-detector array and the Cologne coincidence plunger device equipped with an array of 32 small Si-detectors. The Si-detectors were used to measure the reaction kinematics by registering target-like nuclei scattered in forward direction. In order to cross-check the results obtained from the recoil distance Doppler shift analysis an evaluation of the measured excitation cross-sections was performed with the computer code GOSIA. In addition deorientation effects were investigated and effort was made to extract absolute quadrupole moments. Details of the experiment and the calculations are presented.
Transition probabilities of Br II
Bengtson, R. D.; Miller, M. H.
1976-01-01
Absolute transition probabilities of the three most prominent visible Br II lines are measured in emission. Results compare well with Coulomb approximations and with line strengths extrapolated from trends in homologous atoms.
Stimulus Probability Effects in Absolute Identification
Kent, Christopher; Lamberts, Koen
2016-01-01
This study investigated the effect of stimulus presentation probability on accuracy and response times in an absolute identification task. Three schedules of presentation were used to investigate the interaction between presentation probability and stimulus position within the set. Data from individual participants indicated strong effects of…
Stimulus probability effects in absolute identification.
Kent, Christopher; Lamberts, Koen
2016-05-01
This study investigated the effect of stimulus presentation probability on accuracy and response times in an absolute identification task. Three schedules of presentation were used to investigate the interaction between presentation probability and stimulus position within the set. Data from individual participants indicated strong effects of presentation probability on both proportion correct and response times. The effects were moderated by the ubiquitous stimulus position effect. The accuracy and response time data were predicted by an exemplar-based model of perceptual cognition (Kent & Lamberts, 2005). The bow in discriminability was also attenuated when presentation probability for middle items was relatively high, an effect that will constrain future model development. The study provides evidence for item-specific learning in absolute identification. Implications for other theories of absolute identification are discussed. (PsycINFO Database Record PMID:26478959
Transition probabilities for atoms
Current status of advanced theoretical methods for transition probabilities for atoms and ions is discussed. An experiment on the f values of the resonance transitions of the Kr and Xe isoelectronic sequences is suggested as a test for the theoretical methods
Monte Carlo transition probabilities
Lucy, L. B.
2001-01-01
Transition probabilities governing the interaction of energy packets and matter are derived that allow Monte Carlo NLTE transfer codes to be constructed without simplifying the treatment of line formation. These probabilities are such that the Monte Carlo calculation asymptotically recovers the local emissivity of a gas in statistical equilibrium. Numerical experiments with one-point statistical equilibrium problems for Fe II and Hydrogen confirm this asymptotic behaviour. In addition, the re...
Transition Probabilities in 189Os
The level structure of 189Os has been studied from the decay of 189Ir (13,3 days) produced in proton spallation at CERN and mass separated in the ISOLDE on-line facility. The gamma-ray spectrum has been recorded both with a high resolution Si(Li) - detector and Ge(Li) - detectors. Three previously not reported transitions were observed defining a new level at 348.5 keV. Special attention was given to the low energy level band structure. Several multipolarity mixing ratios were deduced from measured L-subshell ratios which, together with measured level half-lives, gave absolute transition probabilities. The low level decay properties are discussed in terms of the Nilsson model with the inclusion of Coriolis coupling
The decay of the Iπ=Kπ=8- isomeric state at 2340keV in 132Ce has been investigated in the 120Sn(16O,4n)132Ce reaction. The measurements were carried out in e-γ and γ-γ coincidence modes using an electron spectrometer coupled to the OSIRIS II gamma-ray array at the Heavy Ion Laboratory of the University of Warsaw. Experimentally obtained internal conversion coefficients for the 8-→6+ and 8-→5+ transitions allowed the multipolarities, mixing ratios, reduced transition probabilities and hindrance factors to be determined. (orig.)
Atomic transition probabilities of neutral samarium
Absolute atomic transition probabilities from a combination of new emission branching fraction measurements using Fourier transform spectrometer data with radiative lifetimes from recent laser induced fluorescence measurements are reported for 299 lines of the first spectrum of samarium (Sm i). Improved values for the upper and lower energy levels of these lines are also reported. Comparisons to published transition probabilities from earlier experiments show satisfactory and good agreement with two of the four published data sets. (paper)
Radiative lifetimes and atomic transition probabilities
Radiative lifetimes and atomic transition probabilities have been measured for over 35 neutral and singly ionized species in the Wisconsin Atomic Transition Probabilities (WATP) Program since it began in 1980. Radiative lifetimes are measured using time-resolved laser-induced fluorescence of a slow atomic/ionic beam. These lifetimes are combined with branching fractions to yield absolute atomic transition probabilities for neutral and singly ionized species. The branching fractions are determined from emission spectra recorded using the 1.0 m Fourier-transform spectrometer at the National Solar Observatory. The current focus of the WATP Program is on the rare-earth elements, in particular Tm, Dy, and Ho
Invariant probabilities of transition functions
Zaharopol, Radu
2014-01-01
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated using transition functions defined by flows, semiflows, and one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 are extended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structure of the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of t...
Hf Transition Probabilities and Abundances
Lawler, J. E.; Hartog, E.A. den; Labby, Z. E.; Sneden, C.; Cowan, J. J.; Ivans, I. I.
2006-01-01
Radiative lifetimes from laser-induced fluorescence measurements, accurate to about +/- 5 percent, are reported for 41 odd-parity levels of Hf II. The lifetimes are combined with branching fractions measured using Fourier transform spectrometry to determine transition probabilities for 150 lines of Hf II. Approximately half of these new transition probabilities overlap with recent independent measurements using a similar approach. The two sets of measurements are found to be in good agreement...
Gd Transition Probabilities and Abundances
Hartog, E.A. den; Lawler, J. E.; Sneden, C.; Cowan, J. J.
2006-01-01
Radiative lifetimes, accurate to +/- 5%, have been measured for 49 even-parity and 14 odd-parity levels of Gd II using laser-induced fluorescence. The lifetimes are combined with branching fractions measured using Fourier transform spectrometry to determine transition probabilities for 611 lines of Gd II. This work is the largest-scale laboratory study to date of Gd II transition probabilities and the first using a high performance Fourier transform spectrometer. This improved data set has be...
Sm Transition Probabilities and Abundances
Lawler, J. E.; Hartog, E.A. den; Sneden, C.; Cowan, J. J.
2005-01-01
Radiative lifetimes, accurate to +/- 5%, have been measured for 212 odd-parity levels of Sm II using laser-induced fluorescence. The lifetimes are combined with branching fractions measured using Fourier-transform spectrometry to determine transition probabilities for more than 900 lines of Sm II. This work is the largest-scale laboratory study to date of Sm II transition probabilities using modern methods. This improved data set has been used to determine a new solar photospheric Sm abundanc...
ESTIMATION OF AGE TRANSITION PROBABILITIES.
ZINTER, JUDITH R.
THIS NOTE DESCRIBES THE PROCEDURES USED IN DETERMINING DYNAMOD II AGE TRANSITION MATRICES. A SEPARATE MATRIX FOR EACH SEX-RACE GROUP IS DEVELOPED. THESE MATRICES WILL BE USED AS AN AID IN ESTIMATING THE TRANSITION PROBABILITIES IN THE LARGER DYNAMOD II MATRIX RELATING AGE TO OCCUPATIONAL CATEGORIES. THREE STEPS WERE USED IN THE PROCEDURE--(1)…
Transition probability and preferential gauge
Chen, C.Y.
1999-01-01
This paper is concerned with whether or not the preferential gauge can ensure the uniqueness and correctness of results obtained from the standard time-dependent perturbation theory, in which the transition probability is formulated in terms of matrix elements of Hamiltonian.
Improved Ar(II) transition probabilities
Danzmann, K.; de Kock, M
1986-01-01
Precise Ar(II) branching ratios have been measured on a high current hollow cathode with a 1-m Fourier transform spectrometer. Absolute transition probabilities for 11 Ar(II) lines were calculated from these branching ratios and lifetime measurements published by Mohamed et al. For the prominent 4806 Å line, the present result is Aik = 7.12×107s-1 ±2.8%, which is in excellent agreement with recent literature data derived from pure argon diagnostics, two-wavelength-interferometry, and Hβ-diagn...
Atomic transition probabilities of Gd i
Lawler, J E; Den Hartog, E A [Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, WI 53706 (United States); Bilty, K A, E-mail: jelawler@wisc.edu, E-mail: biltyka@uwec.edu, E-mail: eadenhar@wisc.edu [Department of Physics and Astronomy, University of Wisconsin-Eau Claire, Eau Claire, WI 54702 (United States)
2011-05-14
Fourier transform spectra are used to determine emission branching fractions for 1290 lines of the first spectrum of gadolinium (Gd i). These branching fractions are converted to absolute atomic transition probabilities using previously reported radiative lifetimes from time-resolved laser-induced-fluorescence measurements (Den Hartog et al 2011 J. Phys. B: At. Mol. Opt. Phys. 44 055001). The wavelength range of the data set is from 300 to 1850 nm. A least squares technique for separating blends of the first and second spectra lines is also described and demonstrated in this work.
Sm Transition Probabilities and Abundances
Lawler, J E; Sneden, C; Cowan, J J
2005-01-01
Radiative lifetimes, accurate to +/- 5%, have been measured for 212 odd-parity levels of Sm II using laser-induced fluorescence. The lifetimes are combined with branching fractions measured using Fourier-transform spectrometry to determine transition probabilities for more than 900 lines of Sm II. This work is the largest-scale laboratory study to date of Sm II transition probabilities using modern methods. This improved data set has been used to determine a new solar photospheric Sm abundance, log epsilon = 1.00 +/- 0.03, from 26 lines. The spectra of three very metal-poor, neutron-capture-rich stars also have been analyzed, employing between 55 and 72 Sm II lines per star. The abundance ratios of Sm relative to other rare earth elements in these stars are in agreement, and are consistent with ratios expected from rapid neutron-capture nucleosynthesis (the r-process).
Relative transition probabilities of cobalt
Roig, R. A.; Miller, M. H.
1974-01-01
Results of determinations of neutral-cobalt transition probabilities measured relative to Co I 4150.43 A and Co II 4145.15 A, using a gas-driven shock tube as the spectroscopic light source. Results are presented for 139 Co I lines in the range from 3940 to 6640 A and 11 Co II lines in the range from 3840 to 4730 A, which are estimated to have reliabilities ranging from 8 to 50%.
Transition probabilities for argon I
Transition probabilities for ArI lines have been calculated on the basis of the (j,k)-coupling scheme for more than 16000 spectral lines belonging to the transition arrays 4s-np (n=4 to n=9), 5s-np (n=5 to n=9), 6s-np (n=6 to n=9), 7s-np (n=8 to n=9), 4p-ns (n=5 to n=10), 5p-ns (n=6 to n=9), 6p-ns (n=7 to n=8), 4p-nd (n=3 to n=9), 5p-nd (n=4 to n=9), 3d-np (n=5 to n=9), 4d-np (n=6 to n=9), 5d-np (n=7 to n=9), 3d-nf (n=4 to n=9), 4d-nf (n=4 to n=9), 5d-nf (n=5 to n=9), 4f-nd (n=5 to n=9) 5f-nd (n=6 to n=9), 4f-ng (n=5 to n=9), 5f-ng (n=6 to n=9). Inso far as values by other authors exist, comparison is made with these values. It turns out that the results obtained in (j,k)-coupling are close to those obtained in intermediate coupling except for intercombination lines. For high principal and/or orbital quantum numbers the transition probabilities for a multiplet approach those of the corresponding transitions in atomic hydrogen. The calculated values are applied to construct a simplified argon-atom model, which reflects the real transition properties and which allows simplified but realistic non-equilibrium calculations for argon plasmas which deviate from local thermodynamic equilibrium (LTE)
Hf Transition Probabilities and Abundances
Lawler, J E; Labby, Z E; Sneden, C; Cowan, J J; Ivans, I I
2006-01-01
Radiative lifetimes from laser-induced fluorescence measurements, accurate to about +/- 5 percent, are reported for 41 odd-parity levels of Hf II. The lifetimes are combined with branching fractions measured using Fourier transform spectrometry to determine transition probabilities for 150 lines of Hf II. Approximately half of these new transition probabilities overlap with recent independent measurements using a similar approach. The two sets of measurements are found to be in good agreement for measurements in common. Our new laboratory data are applied to refine the hafnium photospheric solar abundance and to determine hafnium abundances in 10 metal-poor giant stars with enhanced r-process abundances. For the Sun we derive log epsilon (Hf) = 0.88 +/- 0.08 from four lines; the uncertainty is dominated by the weakness of the lines and their blending by other spectral features. Within the uncertainties of our analysis, the r-process-rich stars possess constant Hf/La and Hf/Eu abundance ratios, log epsilon (Hf...
Gd Transition Probabilities and Abundances
Den Hartog, E A; Sneden, C; Cowan, J J
2006-01-01
Radiative lifetimes, accurate to +/- 5%, have been measured for 49 even-parity and 14 odd-parity levels of Gd II using laser-induced fluorescence. The lifetimes are combined with branching fractions measured using Fourier transform spectrometry to determine transition probabilities for 611 lines of Gd II. This work is the largest-scale laboratory study to date of Gd II transition probabilities and the first using a high performance Fourier transform spectrometer. This improved data set has been used to determine a new solar photospheric Gd abundance, log epsilon = 1.11 +/- 0.03. Revised Gd abundances have also been derived for the r-process-rich metal-poor giant stars CS 22892-052, BD+17 3248, and HD 115444. The resulting Gd/Eu abundance ratios are in very good agreement with the solar-system r-process ratio. We have employed the increasingly accurate stellar abundance determinations, resulting in large part from the more precise laboratory atomic data, to predict directly the Solar System r-process elemental...
Measurement of radiative lifetimes and atomic transition probabilities
Since it began in 1980, the Wisconsin Atomic Transition Probabilities (WATP) Program had measured radiative lifetimes and atomic transition probabilities for over 35 neutral and singly ionized species. Radiative lifetimes are measured using time- resolved laser-induced fluorescence of a slow atomic/ionic beam. These lifetimes are combined with branching fractions to yield absolute atomic transition probabilities for neutral and singly ionized species. The branching fractions are determined from emission spectra recorded using the 1.0 m Fourier-transform spectrometer at the National Solar Observatory at Kitt Peak, AZ. Currently the focus of the WATP Program is on the rare-earth elements, in particular Tm, Dy, and Ho.
Transition probability data for seven band systems of C2
Coo, D. M.; Nicholls, R. W.
1976-01-01
Absolute transition-probability parameters are reported for seven band systems of the C2 molecule. These include all the known C2 band systems in the spectral region between 0.2 and 1.2 microns with the exception of the Messerle-Krauss system. To obtain the data, absolute intensities of selected spectral regions were measured behind the incident shock wave in a combustion-driven shock tube containing 85% Ar and 15% C2H2. These measurements were converted into electronic transition moments by a synthetic spectrum analysis. The electronic transition moments were then used to determine extensive tables of the transition-probability parameters for each of the band systems measured.
Lifetime measurements and transition probabilities in Mo II
Lundberg, H; Engström, L; Hartman, H.; Nilsson, H.; Palmeri, P; Quinet, Pascal; Biémont, Emile
2010-01-01
Abstract Lifetimes have been measured using time-resolved laser-induced fluorescence for 16 odd levels in the doublet, quartet and sextet systems of Mo II, with energies in the range 48 000 to 61 000 cm ?1. Absolute transition probabilities and oscillator strengths are determined for 110 UV and visible transitions (208 < ? < 485 nm) from a combination of experimental lifetimes and theoretical branching fractions. The theoretical results are obtained using the HFR method including core pola...
Transition probabilities in superfluid He4
The transition probabilities between various states of superfluid helium-4 are found by using the approximation method of Bogolyubov and making use of his canonical transformations for different states of transitions. (author)
Transition probability studies in 175Au
Grahn, Tuomas; Watkins, H.; Joss, David; Page, Robert; Carroll, R. J.; Dewald, A.; Greenlees, Paul; Hackstein, M.; Herzberg, Rolf-Dietmar; Jakobsson, Ulrika; Jones, Peter; Julin, Rauno; Juutinen, Sakari; Ketelhut, Steffen; Kröll, Th
2013-01-01
Transition probabilities have been measured between the low-lying yrast states in 175Au by employing the recoil distance Doppler-shift method combined with the selective recoil-decay tagging technique. Reduced transition probabilities and magnitudes of transition quadrupole moments have been extracted from measured lifetimes allowing dramatic changes in nuclear structure within a low excitation-energy range to probed. The transition quadrupole moment data are discussed in terms...
Kr II transition probability measurements for the UV spectral region
Belmonte, M. T.; Gavanski, L.; Peláez, R. J.; Aparicio, J. A.; Djurović, S.; Mar, S.
2016-02-01
The determination of radiative transition probabilities or oscillator strengths is of common interest in astrophysics. The analysis of the high-resolution stellar spectra is now available in order to estimate the stellar abundances. In this paper, 93 experimentally obtained transition probability values (Aki) for singly ionized krypton spectral lines belonging to the ultraviolet (UV) wavelength region (208-360) nm are presented. These data, expressed in absolute units, were derived from the measurements of relative spectral line intensities and the values of transition probability data taken from the literature. The results obtained extend considerably the transition probability data base. As a light source, a plasma from a low-pressure pulsed arc was used. Its electron density was in the range of (1.5-3.4) × 1022 m-3, while the temperature was between 28 000 and 35 000 K. A detailed analysis of the results is also given. Only a few relative and a few absolute transition probabilities from other authors, for the mentioned spectral region, are available in the literature.
Andrew J. Filardo
1998-01-01
This paper discusses a practical estimation issue for time-varying transition probability (TVTP) Markov switching models. Time-varying transition probabilities allow researchers to capture important economic behavior that may be missed using constant (or fixed) transition probabilities. Despite its use, Hamilton’s (1989) filtering method for estimating fixed transition probability Markov switching models may not apply to TVTP models. This paper provides a set of sufficient conditions to justi...
Dynamic Estimation of Credit Rating Transition Probabilities
Berd, Arthur M.
2009-01-01
We present a continuous-time maximum likelihood estimation methodology for credit rating transition probabilities, taking into account the presence of censored data. We perform rolling estimates of the transition matrices with exponential time weighting with varying horizons and discuss the underlying dynamics of transition generator matrices in the long-term and short-term estimation horizons.
Some New Results on Transition Probability
Yu Quan XIE
2008-01-01
In this paper, we study the basic properties of stationary transition probability of Markov processes on a general measurable space (E, ε), such as the continuity, maximum probability, zero point, positive probability set standardization, and obtain a series of important results such as Continuity Theorem, Representation Theorem, Levy Theorem and so on. These results are very useful for us to study stationary tri-point transition probability on a general measurable space (E, ε). Our main tools such as Egoroff's Theorem, Vitali-Hahn-Saks's Theorem and the theory of atomic set and well-posedness of measure are also very interesting and fashionable.
Transition probability studies in 175Au
Transition probabilities have been measured between the low-lying yrast states in 175Au by employing the recoil distance Doppler-shift method combined with the selective recoil-decay tagging technique. Reduced transition probabilities and magnitudes of transition quadrupole moments have been extracted from measured lifetimes allowing dramatic changes in nuclear structure within a low excitation-energy range to probed. The transition quadrupole moment data are discussed in terms of available systematics as a function of atomic number and aligned angular momentum.
Transition Probability and the ESR Experiment
McBrierty, Vincent J.
1974-01-01
Discusses the use of a modified electron spin resonance apparatus to demonstrate some features of the expression for the transition probability per second between two energy levels. Applications to the third year laboratory program are suggested. (CC)
Transition Probability Estimates for Reversible Markov Chains
Telcs, Andras
2000-01-01
This paper provides transition probability estimates of transient reversible Markov chains. The key condition of the result is the spatial symmetry and polynomial decay of the Green's function of the chain.
A case concerning the improved transition probability
Tang, Jian; Wang, An Min
2006-01-01
As is well known, the existed perturbation theory can be applied to calculations of energy, state and transition probability in many quantum systems. However, there are different paths and methods to improve its calculation precision and efficiency in our view. According to an improved scheme of perturbation theory proposed by [An Min Wang, quant-ph/0611217], we reconsider the transition probability and perturbed energy for a Hydrogen atom in a constant magnetic field. We find the results obt...
Validation of fluorescence transition probability calculations
M. G. PiaINFN, Sezione di Genova; P. Saracco(INFN, Sezione di Genova); Manju Sudhaka(INFN, Sezione di Genova)
2015-01-01
A systematic and quantitative validation of the K and L shell X-ray transition probability calculations according to different theoretical methods has been performed against experimental data. This study is relevant to the optimization of data libraries used by software systems, namely Monte Carlo codes, dealing with X-ray fluorescence. The results support the adoption of transition probabilities calculated according to the Hartree-Fock approach, which manifest better agreement with experimen...
Generalized couplings and convergence of transition probabilities
Kulik, Alexei; Scheutzow, Michael
2015-01-01
We provide sufficient conditions for the uniqueness of an invariant measure of a Markov process as well as for the weak convergence of transition probabilities to the invariant measure. Our conditions are formulated in terms of generalized couplings. We apply our results to several SPDEs for which unique ergodicity has been proven in a recent paper by Glatt-Holtz, Mattingly, and Richards and show that under essentially the same assumptions the weak convergence of transition probabilities actu...
Precise measurements of the absolute γ-ray emission probabilities have been made of radiochemically pure solutions of 223Ra in equilibrium with its decay progeny, which had been previously standardised by 4π(liquid scintillation)-γ digital coincidence counting techniques. Two high-purity germanium γ-ray spectrometers were used which had been accurately calibrated using a suite of primary and secondary radioactive standards. Comparison of the activity concentration determined by the primary technique against γ-ray spectrometry measurements using the nuclear data evaluations of the Decay Data Evaluation Project exhibited a range of ~18% in the most intense γ-ray emissions (>1% probability) of the 223Ra decay series. Absolute γ-ray emission probabilities and standard uncertainties have been determined for the decay of 223Ra, 219Rn, 215Po, 211Pb, 211Bi and 207Tl in equilibrium. The standard uncertainties of the measured γ-ray emission probabilities quoted in this work show a significant improvement over previously reported γ-ray emission probabilities. Correlation coefficients for pairs of the measured γ-ray emission probabilities from the decays of the radionuclides 223Ra, 219Rn and 211Pb have been determined and are presented. The α-transition probabilities of the 223Ra have been deduced from P(γ+ce) balance using the γ-ray emission probabilities determined in this work with some agreement observed with the published experimental values of the α-emission probabilities. - Highlights: • Discrepancies found within currently published γ-ray emission probabilities. • Absolute γ-ray emission probabilities of decay series in equilibrium determined. • Significant improvement in precision of measured values. • Closer agreement between deduced and experimental α transition probabilities. • Correlation coefficients presented for γ-emissions of 223Ra, 219Rn and 211Pb
Transition probabilities for several u.v. lines of Pb II
Alonso Medina, Aurelia
1996-01-01
Relative transition probabilities for 30 lines arising from excited doublets levels of Pb II have been determined from emission lines intensities in a hollow-cathode discharge. These values were put on an absolute scale by using, where possible, the experimental lifetimes published by other authors. In addition, absolute transition probabilities were obtained by using line-strength sum rules and the results were found to be in agreement with data derived from lifetime measurements. Our experi...
Semiclassical transition probabilities for interacting oscillators
Khlebnikov, S. Yu.
1994-01-01
Semiclassical transition probabilities characterize transfer of energy between "hard" and "soft" modes in various physical systems. We establish the boundary problem for singular euclidean solutions used to calculate such probabilities. Solutions are found numerically for a system of two interacting quartic oscillators. In the double-well case, we find numerical evidence that certain regular {\\em minkowskian} trajectories have approximate stopping points or, equivalently, are approximately pe...
Electric quadrupole transition probabilities for atomic lithium
Electric quadrupole transition probabilities for atomic lithium have been calculated using the weakest bound electron potential model theory (WBEPMT). We have employed numerical non-relativistic Hartree–Fock wavefunctions for expectation values of radii and the necessary energy values have been taken from the compilation at NIST. The results obtained with the present method agree very well with the Coulomb approximation results given by Caves (1975). Moreover, electric quadrupole transition probability values not existing in the literature for some highly excited levels have been obtained using the WBEPMT
Poisson spaces with a transition probability
Landsman, N. P.
1997-01-01
The common structure of the space of pure states $P$ of a classical or a quantum mechanical system is that of a Poisson space with a transition probability. This is a topological space equipped with a Poisson structure, as well as with a function $p:P\\times P-> [0,1]$, with certain properties. The Poisson structure is connected with the transition probabilities through unitarity (in a specific formulation intrinsic to the given context). In classical mechanics, where $p(\\rho,\\sigma)=\\dl_{\\rho...
Transits Probabilities Around Hypervelocity and Runaway Stars
Fragione, Giacomo
2016-01-01
In the blooming field of exoplanetary science, NASA's Kepler Space Telescope has revolutionized our understanding of exoplanets. Kepler's very precise and long-duration photometry is ideal for detecting planetary transits around Sun-like stars. The forthcoming Transiting Exoplanet Survey Satellite (TESS) is expected to continue Kepler's legacy. In this paper, we explore the possibility of detecting planetary transits around hypervelocity and runaway stars, which should host a very compact system as consequence of their turbulent origin. We find that the probability of a multi-planetary transit is $10^{-3}\\lesssim P\\lesssim 10^{-1}$. We therefore need to observe $\\sim 10-1000$ high-velocity stars to spot a transit. We predict that the European Gaia satellite, along with TESS, could spot such transits.
Picturing mobility: Transition probability color plots
Philippe Kerm
2011-01-01
This talk presents a simple graphical device for visualization of patterns of income mobility. The device uses color palettes to picture information contained in transition matrices created from a fine partition of the marginal distributions. The talk explains how these graphs can be constructed using the user-written package spmap from Maurizio Pisati, briefly presents the wrapper command transcolorplot (for transition probability color plots) and demonstrates how such graphs are effective f...
Calculation of radiative transition probabilities and lifetimes
Zemke, W. T.; Verma, K. K.; Stwalley, W. C.
1982-01-01
Procedures for calculating bound-bound and bound-continuum (free) radiative transition probabilities and radiative lifetimes are summarized. Calculations include rotational dependence and R-dependent electronic transition moments (no Franck-Condon or R-centroid approximation). Detailed comparisons of theoretical results with experimental measurements are made for bound-bound transitions in the A-X systems of LiH and Na2. New bound-free results are presented for LiH. New bound-free results and comparisons with very recent fluorescence experiments are presented for Na2.
Adiabatic transition probability for a tangential crossing
Watanabe, Takuya
2006-01-01
We consider a time-dependent Schrödinger equation whose Hamiltonian is a $2\\times 2$ real symmetric matrix. We study, using an exact WKB method, the adiabatic limit of the transition probability in the case where several complex eigenvalue crossing points accumulate to one real point.
Markov Chains with Stochastically Stationary Transition Probabilities
Orey, Steven
1991-01-01
Markov chains on a countable state space are studied under the assumption that the transition probabilities $(P_n(x,y))$ constitute a stationary stochastic process. An introductory section exposing some basic results of Nawrotzki and Cogburn is followed by four sections of new results.
A real formula for transition probabilities
Alessandra Luati
2007-10-01
Full Text Available Transition probabilities between states in two dimensional quantum systems are derived as functions of unit vectors in R3 instead of state vectors in C2. This can be done once represented states and von Neumann measurements acting on C2 by means of vectors on the unit sphere of R3.
Radiationless transition probabilities in muonic 209Bi
The probability for non-radiative (n.r.) excitations in muonic 209Bi was determined from a (μ-, γγ)-measurement by comparing the intensities of muonic X-ray transitions in single and coincidence spectra. The values of Pn.r.(3p→1s)=(17.9±2.0)% and Pn.r.(3d→1s)=(3.0±2.2)% were measured for the first time. The strength of the n.r. decay of the 2p-level was found to be (4.2±2.2)%. The n.r. transition probabilities of two subcomplexes of the (2p→1s)-transition leading to different mean excitation energies are (3.2±1.8)% and (5.0±2.0)%, respectively. (orig.)
Estimation of transition probabilities of credit ratings
Peng, Gan Chew; Hin, Pooi Ah
2015-12-01
The present research is based on the quarterly credit ratings of ten companies over 15 years taken from the database of the Taiwan Economic Journal. The components in the vector mi (mi1, mi2,⋯, mi10) may first be used to denote the credit ratings of the ten companies in the i-th quarter. The vector mi+1 in the next quarter is modelled to be dependent on the vector mi via a conditional distribution which is derived from a 20-dimensional power-normal mixture distribution. The transition probability Pkl (i ,j ) for getting mi+1,j = l given that mi, j = k is then computed from the conditional distribution. It is found that the variation of the transition probability Pkl (i ,j ) as i varies is able to give indication for the possible transition of the credit rating of the j-th company in the near future.
Atomic Transition Probabilities Scandium through Manganese
Atomic transition probabilities for about 8,800 spectral lines of five iron-group elements, Sc(Z = 21) to Mn(Z = 25), are critically compiled, based on all available literature sources. The data are presented in separate tables for each element and stage of ionization and are further subdivided into allowed (i.e., electric dipole-E1) and forbidden (magnetic dipole-M1, electric quadrupole-E2, and magnetic quadrupole-M2) transitions. Within each data table the spectral lines are grouped into multiplets, which are in turn arranged according to parent configurations, transition arrays, and ascending quantum numbers. For each line the transition probability for spontaneous emission and the line strength are given, along with the spectroscopic designation, the wavelength, the statistical weights, and the energy levels of the upper and lower states. For allowed lines the absorption oscillator strength is listed, while for forbidden transitions the type of transition is identified (M1, E2, etc.). In addition, the estimated accuracy and the source are indicated. In short introductions, which precede the tables for each ion, the main justifications for the choice of the adopted data and for the accuracy rating are discussed. A general introduction contains a discussion of our method of evaluation and the principal criteria for our judgements
System Geometries and Transit/Eclipse Probabilities
Howard A.
2011-02-01
Full Text Available Transiting exoplanets provide access to data to study the mass-radius relation and internal structure of extrasolar planets. Long-period transiting planets allow insight into planetary environments similar to the Solar System where, in contrast to hot Jupiters, planets are not constantly exposed to the intense radiation of their parent stars. Observations of secondary eclipses additionally permit studies of exoplanet temperatures and large-scale exo-atmospheric properties. We show how transit and eclipse probabilities are related to planet-star system geometries, particularly for long-period, eccentric orbits. The resulting target selection and observational strategies represent the principal ingredients of our photometric survey of known radial-velocity planets with the aim of detecting transit signatures (TERMS.
Some improved transition probabilities for neutral carbon
Fischer, Charlotte Froese [Atomic Physics Division, National Institute of Standards and Technology, Gaithersburg, MD 20899-8422 (United States)
2006-05-14
An earlier paper (Zatsarinny O and Froese Fischer C 2002 J. Phys. B: At. Mol. Opt. Phys. 35 4669) presented oscillator strengths for transitions from the 2p{sup 2} 3P term to high-lying excited states of carbon. The emphasis was on the accurate prediction of energy levels relative to the ionization limit and allowed transition data from the ground state. The present paper reports some refined transition probability calculations for transitions from 2p{sup 2}, {sup 3}P, 1{sup D}, and {sup 1}S to all odd levels up to 2p3d{sup 3}P. Particular attention is given to intercombination lines where relativistic effects are most important.
Lifetimes and transition probabilities in Kr V
Weighted oscillator strengths (gf), weighted transition probabilities (gA) and lifetimes are presented for all experimentally known dipole transitions and levels of Kr V. Values were determined by four methods. Three of them are based on the Hartree-Fock method, including relativistic corrections and core-polarization effects, with electrostatic parameters optimized by a least-squares procedure in order to obtain energy levels adjusted to the corresponding experimental values. The fourth method is based on a relativistic multiconfigurational Dirac-Fock approach. In addition, 47 new classified lines belonging to the Kr V spectrum are presented.
Transition Probability (Fidelity) and Its Relatives
Uhlmann, Armin
2011-01-01
Transition Probability (fidelity) for pairs of density operators can be defined as "functor" in the hierarchy of "all" quantum systems and also within any quantum system. The introduction of "amplitudes" for density operators allows for a more intuitive treatment of these quantities, also pointing to a natural parallel transport. The latter is governed by a remarkable gauge theory with strong relations to the Riemann-Bures metric.
Continuum ionization transition probabilities of atomic oxygen
Samson, J. A. R.; Petrosky, V. E.
1974-01-01
The technique of photoelectron spectroscopy was employed in the investigation. Atomic oxygen was produced in a microwave discharge operating at a power of 40 W and at a pressure of approximately 20 mtorr. The photoelectron spectrum of the oxygen with and without the discharge is shown. The atomic states can be clearly seen. In connection with the measurement of the probability for transitions into the various ionic states, the analyzer collection efficiency was determined as a function of electron energy.
Transition choice probabilities and welfare in ARUM's
de Palma, André; Kilani, Karim
2009-01-01
We study the descriptive and the normative consequences of price and/or other attributes changes in additive random utility models. We first derive expressions for the transition choice probabilities associated to these changes. A closed-form formula is obtained for the logit. We then use these expressions to compute the cumulative distribution functions of the compensating variation conditional on ex-ante and/or ex-post choices. The unconditional distribution is also provided. The conditiona...
Augmenting Transition Probabilities for Neutral Atomic Nitrogen
Terrazas-Salines, Imelda; Park, Chul; Strawa, Anthony W.; Hartman, G. Joseph (Technical Monitor)
1996-01-01
The transition probability values for a number of neutral atomic nitrogen (NI) lines in the visible wavelength range are determined in order to augment those given in the National Bureau of Standards Tables. These values are determined from experimentation as well as by using the published results of other investigators. The experimental determination of the lines in the 410 to 430 nm range was made from the observation of the emission from the arc column of an arc-heated wind tunnel. The transition probability values of these NI lines are determined to an accuracy of +/- 30% by comparison of their measured intensities with those of the atomic oxygen (OI) multiplet at around 615 nm. The temperature of the emitting medium is determined both using a multiple-layer model, based on a theoretical model of the flow in the arc column, and an empirical single-layer model. The results show that the two models lead to the same values of transition probabilities for the NI lines.
Atomic transition probabilities in refractory metals
Accurate transition probabilities for a large number of spectral lines in the first and second spectra of 3d, 4d and 5d metals are being measured. Radiative lifetimes of hundreds of levels in TaI, WI, MoI, NbI, HfI, ReI, RhI, RuI, NbII, CoII++, and other atoms and ions are measured using time-resolved laser-induced fluorescence on an atom or ion beam. The atom or ion beam is produced by a versatile hollow cathode discharge source. Branching ratios of levels in WI, NbI, HfI, and ReI are measured from calibrated spectra recorded on the Kitt Peak one-meter Fourier Transform Spectrometer. The transition probability measurements are used in solar and stellar elemental abundance determination. Some of the elements mentioned above are commonly used as electrodes in discharge devices. Accurate transition probabilities are also useful in studying concentrations and the effects of sputtered electrode material on laboratory discharges
Necessity of Exact Calculation for Transition Probability
LIU Fu-Sui; CHEN Wan-Fang
2003-01-01
This paper shows that exact calculation for transition probability can make some systems deviate fromFermi golden rule seriously. This paper also shows that the corresponding exact calculation of hopping rate inducedby phonons for deuteron in Pd-D system with the many-body electron screening, proposed by Ichimaru, can explainthe experimental fact observed in Pd-D system, and predicts that perfection and low-dimension of Pd lattice are veryimportant for the phonon-induced hopping rate enhancement in Pd-D system.
Atomic transition probabilities of Er i
Atomic transition probabilities for 562 lines of the first spectrum of erbium (Er i) are reported. These data are from new branching fraction measurements on Fourier transform spectra normalized with previously reported radiative lifetimes from time-resolved laser-induced fluorescence measurements (Den Hartog et al 2010 J. Phys. B: At. Mol. Opt. Phys. 43 155004). The wavelength range of the data set is from 298 to 1981 nm. In this work we explore the utility of parametric fits based on the Cowan code in assessing branching fraction errors due to lines connecting to unobserved lower levels.
Atomic transition probabilities of Er i
Lawler, J E; Den Hartog, E A [Department of Physics, University of Wisconsin, 1150 University Ave., Madison, WI 53706 (United States); Wyart, J-F, E-mail: jelawler@wisc.ed, E-mail: jean-francois.wyart@lac.u-psud.f, E-mail: eadenhar@wisc.ed [Laboratoire Aime Cotton, CNRS (UPR3321), Bat. 505, Centre Universitaire Paris-Sud, 91405-Orsay (France)
2010-12-14
Atomic transition probabilities for 562 lines of the first spectrum of erbium (Er i) are reported. These data are from new branching fraction measurements on Fourier transform spectra normalized with previously reported radiative lifetimes from time-resolved laser-induced fluorescence measurements (Den Hartog et al 2010 J. Phys. B: At. Mol. Opt. Phys. 43 155004). The wavelength range of the data set is from 298 to 1981 nm. In this work we explore the utility of parametric fits based on the Cowan code in assessing branching fraction errors due to lines connecting to unobserved lower levels.
Comprehensive transition probabilities in Mo I
Transition probabilities for 2835 lines in Mo I between 2548 A and 10565 A have been measured by combining radiative level lifetimes, excited level populations measured in an inductively coupled plasma (ICP) source, and emission branching ratios measured with the ICP source and with a hollow cathode discharge source. We show that the level populations in the ICP source approximate a thermal distribution and use this property to interpolate betwen levels of known lifetime to find the population of levels of unknown lifetime. Comparison of the spectra from the two different sources distinguishes between Mo I and II lines and detects hidden blends and self-absorption in the hollow cathode source. Improved excitation energy for many Mo I levels was extracted from the high resolution Fourier transform spectrum, and 27 new levels were found. (orig.)
Loss bounds for uncertain transition probabilities in Markov decision processes
Jaillet, Patrick; Mastin, Dana Andrew
2012-01-01
We analyze losses resulting from uncertain transition probabilities in Markov decision processes with bounded nonnegative rewards. We assume that policies are precomputed using exact dynamic programming with the estimated transition probabilities, but the system evolves according to different, true transition probabilities. Given a bound on the total variation error of estimated transition probability distributions, we derive upper bounds on the loss of expected total reward. The approach ana...
Transition probabilities for diffusion equations by means of path integrals
Goovaerts, Marc; DE SCHEPPER, Ann; Decamps, Marc
2002-01-01
In this paper, we investigate the transition probabilities for diffusion processes. In a first part, we show how transition probabilities for rather general diffusion processes can always be expressed by means of a path integral. For several classical models, an exact calculation is possible, leading to analytical expressions for the transition probabilities and for the maximum probability paths. A second part consists of the derivation of an analytical approximation for the transition probab...
Transition probabilities for diffusion equations by means of path integrals.
Goovaerts, Marc; De Schepper, A; Decamps, M.
2002-01-01
In this paper, we investigate the transition probabilities for diffusion processes. In a first part, we show how transition probabilities for rather general diffusion processes can always be expressed by means of a path integral. For several classical models, an exact calculation is possible, leading to analytical expressions for the transition probabilities and for the maximum probability paths. A second part consists of the derivation of an analytical approximation for the transition probab...
Measurement of several transition probabilities in singly-ionized krypton
Rodríguez, F.; Aparicio, J. A.; Gomez de Castro, A.; del Val, J. A.; González, V. R.; Mar, S.
2001-06-01
This work reports a collection of 35 transition probabilities of lines in the spectral region 450-580 nm, all of them measured in an emission experiment. Relative intensity measurements have been made in a pulsed discharge lamp and the absolute Aki values have been obtained by using reference data taken from the literature. The electron density has been determined by two-wavelength interferometry and ranges from 0.1 to 0.8 x 1023 m-3 in the plasma. Temperature (14 000-24 000 K) has been simultaneously determined from three different methods, including the Boltzmann-plot of KrII lines and the KrII/KrI intensities ratios. The final results have been compared with most of the previous existing data.
Measurement of the transition probability for the KrI line 5871 A
The absolute transition probability for the KrI line 5871 A was measured by applying Rozhdestvenskii's hook method and a related interferometric method to shock wave plasmas. The result Asub(ik)=2.2 X 106 s-1 is compared with theoretical and other experimental data. (Auth.)
Convergence of simulated annealing by the generalized transition probability
Nishimori, Hidetoshi; Inoue, Jun-Ichi
1998-01-01
We prove weak ergodicity of the inhomogeneous Markov process generated by the generalized transition probability of Tsallis and Stariolo under power-law decay of the temperature. We thus have a mathematical foundation to conjecture convergence of simulated annealing processes with the generalized transition probability to the minimum of the cost function. An explicitly solvable example in one dimension is analyzed in which the generalized transition probability leads to a fast convergence of ...
Islam, Md Shafiqul; Chandler, Stephen
2015-10-01
Let S be the attractor (fractal) of a contractive iterated function system (IFS) with place-dependent probabilities. An IFS with place-dependent probabilities is a random map T = {τ1(x),τ2(x),…,τK(x); p1(x),p2(x),…,pK(x)}, where the probabilities p1(x),p2(x),…,pK(x) of switching from one transformation to another are functions of positions, that is, at each step, the random map T moves the point x to τk(x) with probability pk(x). If the random map T has a unique invariant measure μ, then the support of μ is the attractor S. For a bounded region X ⊆ ℝN, we prove the existence of a sequence {T0,n∗} of IFSs with place-dependent probabilities whose invariant measures {μn} are absolutely continuous with respect to Lebesgue measure. Moreover, if X is a compact metric space, we prove that μn converges weakly to μ as n →∞. We present examples with computations.
Transition Probability to Turbulent Transport Regime
Kawasaki, Mitsuhiro; Furuya, Atsushi; Yagi, Masatoshi; Itoh, Kimitaka; Itoh, Sanae-I.
2002-01-01
Transition phenomena between thermal noise state and turbulent state observed in a submarginal turbulent plasma are analyzed with statistical theory. Time-development of turbulent fluctuation is obtained by numerical simulations of Langevin equation which contains hysteresis characteristics. Transition rates between two states are analyzed. Transition from turbulent state to thermal noise state occurs in entire region between subcritical bifurcation point and linear stability boundary.
Lifetimes, transition probabilities, and level energies in Fe I
O'Brian, T. R.; Wickliffe, M. E.; Lawler, J. E.; Whaling, W.; Brault, J. W.
1991-01-01
We use time-resolved laser-induced fluorescence to measure the lifetime of 186 Fe levels with energies between 25 900 and 60 758 cm . Measured emission branching fractions for these levels yield transition probabilities for 1174 transitions in the range 225-2666 nm. We find another 640 Fe transition probabilities by interpolating level populations in the inductively coupled plasma spectral source. We demonstrate the reliability of the interpolation method by comparing our transition probabili...
Transition probabilities and measurement statistics of postselected ensembles
Fritz, Tobias
2010-01-01
It is well-known that a quantum measurement can enhance the transition probability between two quantum states. Such a measurement operates after preparation of the initial state and before postselecting for the final state. Here we analyze this kind of scenario in detail and determine which probability distributions on a finite number of outcomes can occur for an intermediate measurement with postselection, for given values of the following two quantities: (i) the transition probability witho...
Time Varying Transition Probabilities for Markov Regime Switching Models
Bazzi, Marco; Blasques, Francisco; Koopman, Siem Jan; Lucas, Andre
2014-01-01
We propose a new Markov switching model with time varying probabilities for the transitions. The novelty of our model is that the transition probabilities evolve over time by means of an observation driven model. The innovation of the time varying probability is generated by the score of the predictive likelihood function. We show how the model dynamics can be readily interpreted. We investigate the performance of the model in a Monte Carlo study and show that the model is successful in estim...
Ultraviolet transition probabilities in N II
Ellis, David G.
1993-01-01
Oscillator strengths were calculated for the ultraviolet transition array 2p sup 2 - 2p3s in the N II spectrum. Results obtained confirm that the 748 A intercombination line is usually strong as predicted by Fawcett (1987). The results of theoretical weighted oscillator strengths are considered to be reliable.
Study of transition probabilities in 192Pt
The nucleus 192Pt is Coulomb excited with 370 MeV 84Kr projectiles. Levels up to spin 8+ (10+) in the ground band and up to 6+ in the γ-band are observed. The B(E2) values implied by the observed yields are compared with predictions of different nuclear models. Particular attention is paid to the ground band transition rates and the rotation-alignment model
Transition probability measurements for some strong and weak lines of N
We operated a high-current wall-stabilized arc to generate a low-temperature, steady-state plasma in nitrogen, with admixtures of argon, helium, and oxygen. We measured the relative atomic transition probabilities for several strong and weak 3s-3p and 3p-3d lines of neutral nitrogen and placed them on an absolute scale with experimental lifetime data available in the literature. We obtained good agreement with recent advanced calculations and an earlier measurement for the strong transitions but encountered appreciable discrepancies for weak transitions.
On Markov chains induced by partitioned transition probability matrices
Kaijser, Thomas
2009-01-01
Let S be a denumerable state space and let P be a transition probability matrix on S. If a denumerable set M of nonnegative matrices is such that the sum of the matrices is equal to P, then we call M a partition of P. Let K denote the set of probability vectors on S. To every partition M of P we can associate a transition probability function on K defined in such a way that if p in K and m in M are such that ||pm|| > 0, then, with probability ||pm|| the vector p is transferred to the vector p...
What is the probability of a thermodynamical transition?
Alhambra, Álvaro M.; Oppenheim, Jonathan; Perry, Christopher
2015-01-01
If the second law of thermodynamics forbids a transition from one state to another, then it is still possible to make the transition happen by using a sufficient amount of work. But if we do not have access to this amount of work, can the transition happen probabilistically? In the thermodynamic limit, this probability tends to zero, but here we find that for finite-sized systems, it can be finite. We compute the maximum probability of a transition or a thermodynamical fluctuation from any in...
Transition probabilities have been computed using a variational many-electron theory [R. Jauregui, C.F. Bunge, E. Ley-Koo, Phys. Rev. A 55 (1997) 1781] incorporating positive-energy and negative-energy orbitals without ambiguities, and absolutely free from variational collapse. The results agree with experiment and with other calculations based on the no-pair Hamiltonian where ad hoc negative-energy orbitals occur in first-order corrections to the wave functions
Calculating state-to-state transition probabilities within TDDFT
Rohringer, Nina; Peter, Simone; Burgdörfer, Joachim
2005-01-01
The determination of the elements of the S-matrix within the framework of time-dependent density-functional theory (TDDFT) has remained a widely open question. We explore two different methods to calculate state-to-state transition probabilities. The first method closely follows the extraction of the S-matrix from the time-dependent Hartree-Fock approximation. This method suffers from cross-channel correlations resulting in oscillating transition probabilities in the asymptotic channels. An a...
Unified set of atomic transition probabilities for neutral argon
Wiese, W.; Brault, J.; Danzmann, K.; Helbig, V.; de Kock, M
1989-01-01
The atomic transition probabilities and radiative lifetimes of neutral argon have been the subject of numerous experiments and calculations, but the results exhibit many discrepancies and inconsistencies. We present a unified set of atomic transition probabilities, which is consistent with essentially all recent results, albeit sometimes only after critical reanalysis. The data consistency and scale confirmation has been achieved in two ways. (i) We have carried out some lifetime–branching-ra...
Transition probabilities and radiative lifetimes of levels in F I
Celik, Gueltekin, E-mail: gultekin@selcuk.edu.tr; Dogan, Duygu; Ates, Sule; Taser, Mehmet
2012-07-15
The electric dipole transition probabilities and the lifetimes of excited levels have been calculated using the weakest bound electron potential model theory (WBEPMT) and the quantum defect orbital theory (QDOT) in atomic fluorine. In the calculations, many of transition arrays included both multiplet and fine-structure transitions are considered. We employed Numerical Coulomb Approximation (NCA) wave functions and numerical non-relativistic Hartree-Fock (NRHF) wave functions for expectation values of radii in determination of parameters. The necessary energy values have been taken from experimental energy data in the literature. The calculated transition probabilities and lifetimes have been compared with available theoretical and experimental results. A good agreement with results in literature has been obtained. Moreover, some transition probability and the lifetime values not existing in the literature for some highly excited levels have been obtained using these methods.
New families of subordinators with explicit transition probability semigroup
Burridge, James; Kuznetsov, A.; Kwaśnicki, M.; Kyprianou, A. E.
2014-01-01
There exist only a few known examples of subordinators for which the transition probability density can be computed explicitly along side an expression for its L?evy measure and Laplace exponent. Such examples are useful in several areas of applied probability, for example, they are used in mathematical ?nance for modeling stochastic time change, they appear in combinatorial probability to construct sampling formulae, which in turn is related to a variety of issues in the theory of coalescenc...
Electric quadrupole transition probabilities and line strengths of Ti11+
Electric quadrupole transition probabilities and line strengths have been calculated using the weakest bound electron potential model for sodium-like titanium, considering many transition arrays. We employed numerical Coulomb approximation and non-relativistic Hartree–Fock wavefunctions for the expectation values of radii in determination of parameters of the model. The necessary energy values have been taken from experimental data in the literature. The calculated electric quadrupole line strengths have been compared with available data in the literature and good agreement has been obtained. Moreover, some electric quadrupole transition probability and line strength values not existing in the literature for some highly excited levels have been obtained using this method
Non-Equilibrium Random Matrix Theory : Transition Probabilities
Pedro, Francisco Gil
2016-01-01
In this letter we present an analytic method for calculating the transition probability between two random Gaussian matrices with given eigenvalue spectra in the context of Dyson Brownian motion. We show that in the Coulomb gas language, in large $N$ limit, memory of the initial state is preserved in the form of a universal linear potential acting on the eigenvalues. We compute the likelihood of any given transition as a function of time, showing that as memory of the initial state is lost, transition probabilities converge to those of the static ensemble.
TPmsm: Estimation of the Transition Probabilities in 3-State Models
Artur Araújo
2014-12-01
Full Text Available One major goal in clinical applications of multi-state models is the estimation of transition probabilities. The usual nonparametric estimator of the transition matrix for non-homogeneous Markov processes is the Aalen-Johansen estimator (Aalen and Johansen 1978. However, two problems may arise from using this estimator: first, its standard error may be large in heavy censored scenarios; second, the estimator may be inconsistent if the process is non-Markovian. The development of the R package TPmsm has been motivated by several recent contributions that account for these estimation problems. Estimation and statistical inference for transition probabilities can be performed using TPmsm. The TPmsm package provides seven different approaches to three-state illness-death modeling. In two of these approaches the transition probabilities are estimated conditionally on current or past covariate measures. Two real data examples are included for illustration of software usage.
Transition Probabilities of the Rare Earth Neutral Lanthanum
Palmer, Andria; Lawler, James E.; Den Hartog, Elizabeth
2015-01-01
In continuation of a long-standing project to measure transition probabilities for rare earth elements, La i is currently being studied. Transition probabilities of the rare earths and other elements are determined in order to assist astronomers in making stellar spectroscopy more quantitative. Atomic spectroscopy is a key tool for astronomers as it provides nearly all the details about the physics and chemistry of the universe outside of our solar system. Rare earth elements tend to have complex electronic structure due to their open 4f, 5d, 6s, and 6p shells. This leads to a rich spectrum throughout the ultraviolet, visible and near-infrared, making them very accessible elements for study in stellar photospheric spectra. A transition probability is the probability per unit time for a transition to occur between an upper level and a lower level. The process for measuring transition probabilities is by using the well-established technique of time-resolved laser-induced fluorescence to measure the radiative lifetimes for each upper level. This is then combined with branching fractions measured using a 1m high-resolution Fourier Transform Spectrometer. Radiative lifetimes for ~70 upper levels of neutral La along with their associated branching fractions will be reported, resulting in the determination of several hundred new transition probabilities. These transition probabilities will assist astronomers in analyzing the chemical compositions of older, cooler stars which give insight into the origins of the chemical elements.This work supported by by NSF grant AST-1211055 (JEL & EDH) and by the NSF REU program (AJP).
Quantum processes: probability fluxes, transition probabilities in unit time and vacuum vibrations
Transition probabilities in unit time and probability fluxes are compared in studying the elementary quantum processes -the decay of a bound state under the action of time-varying and constant electric fields. It is shown that the difference between these quantities may be considerable, and so the use of transition probabilities W instead of probability fluxes Π, in calculating the particle fluxes, may lead to serious errors. The quantity W represents the rate of change with time of the population of the energy levels relating partly to the real states and partly to the virtual ones, and it cannot be directly measured in experiment. The vacuum background is shown to be continuously distorted when a perturbation acts on a system. Because of this the viewpoint of an observer on the physical properties of real particles continuously varies with time. This fact is not taken into consideration in the conventional theory of quantum transitions based on using the notion of probability amplitude. As a result, the probability amplitudes lose their physical meaning. All the physical information on quantum dynamics of a system is contained in the mean values of physical quantities. The existence of considerable differences between the quantities W and Π permits one in principle to make a choice of the correct theory of quantum transitions on the basis of experimental data. (author)
Absolute activity measurement and gamma-ray emission probability for decay of I-126
The accurate knowledge of the gamma-ray emission probability per decay of radionuclides is important in several applications. In the case of 126 I, its importance lies mainly in fast neutron dosimetry as well as in the production of 125 I where 126 I appears as an impurity. In the present work the gamma-ray emission probabilities per decay for the 388 and 666-KeV transitions of 126 I have been measured. This radionuclide was obtained by means of the 127 I(n, 2n)126 I reaction in a fast neutron flux at the IPEN 2 MW research reactor. The methodology for the primary standardization of 126 I is described. For this purpose, two different coincidence systems were used due to the complex decay scheme of this radionuclide. The βbranch measurement was carried out in a 4 π(PC)β-γ coincidence system consisting of a proportional counter, coupled to a pair of 3'x3' Na I (Tl) crystal. The electron capture branch was measured in a X-γ coincidence system using two NaI(Tl) crystals. The gamma-ray measurements were performed in a HPGe system, previously calibrated by means of standard sources supplied by the International Atomic Energy Agency. All the uncertainties evolved were treated rigorously, by means of covariance analysis. (author)
Absolute activity measurement and gamma-ray emission probability for decay of I-126
Fonseca, K A
1997-01-01
The accurate knowledge of the gamma-ray emission probability per decay of radionuclides is important in several applications. In the case of sup 1 sup 2 sup 6 I, its importance lies mainly in fast neutron dosimetry as well as in the production of sup 1 sup 2 sup 5 I where sup 1 sup 2 sup 6 I appears as an impurity. In the present work the gamma-ray emission probabilities per decay for the 388 and 666-KeV transitions of sup 1 sup 2 sup 6 I have been measured. This radionuclide was obtained by means of the sup 1 sup 2 sup 7 I(n, 2n) sup 1 sup 2 sup 6 I reaction in a fast neutron flux at the IPEN 2 MW research reactor. The methodology for the primary standardization of sup 1 sup 2 sup 6 I is described. For this purpose, two different coincidence systems were used due to the complex decay scheme of this radionuclide. The beta branch measurement was carried out in a 4 pi(PC)beta-gamma coincidence system consisting of a proportional counter, coupled to a pair of 3'x3' Na I (Tl) crystal. The electron capture branch ...
On Markov Chains Induced by Partitioned Transition Probability Matrices
Thomas KAIJSER
2011-01-01
Let S be a denumerable state space and let P be a transition probability matrix on S. If a denumerable set M of nonnegative matrices is such that the sum of the matrices is equal to P, then we call M a partition of P. Let K denote the set of probability vectors on S. With every partition M of P we can associate a transition probability function PM on K defined in such a way that if p ∈ K and M ∈ M are such that ‖pM‖ ＞ 0, then, with probability ‖pM‖, the vector p is transferred to the vector pM/‖pM‖. Here ‖· ‖ denotes the l1-norm. In this paper we investigate the convergence in distribution for Markov chains generated by transition probability functions induced by partitions of transition probability matrices. The main motivation for this investigation is the application of the convergence results obtained to filtering processes of partially observed Markov chains with denumerable state space.
Net baryon number probability distribution near the chiral phase transition
Morita, Kenji; Skokov, Vladimir; Friman, Bengt; Redlich, Krzysztof
2014-01-01
We discuss the properties of the net baryon number probability distribution near the chiral phase transition to explore the effect of critical fluctuations. Our studies are performed within Landau theory, where the coefficients of the polynomial potential are parametrized, so as to reproduce the mean-field (MF), the Z(2) , and the O(4) scaling behaviors of the cumulants of the net baryon number. We show that in the critical region the structure of the probability distribution changes, dependi...
Computational Discrete Time Markov Chain with Correlated Transition Probabilities
Peerayuth Charnsethikul
2006-01-01
This study presents a computational procedure for analyzing statistics of steady state probabilities in a discrete time Markov chain with correlations among their transition probabilities. The proposed model simply uses the first order Taylor's series expansion and statistical expected value properties to obtain the resulting linear matrix equations system. Computationally, the bottleneck is O(n4) but can be improved by distributed and parallel processing. A preliminary computational experien...
Atomic transition probabilities of Ce I from Fourier transform spectra
Atomic transition probabilities for 2874 lines of the first spectrum of cerium (Ce I) are reported. These data are from new branching fraction measurements on Fourier transform spectra normalized with previously reported radiative lifetimes from time-resolved laser-induced-fluorescence measurements (Den Hartog et al 2009 J. Phys. B: At. Mol. Opt. Phys. 42 085006). The wavelength range of the data set is from 360 to 1500 nm. Comparisons are made to previous investigations which are less extensive. Accurate Ce i transition probabilities are needed for lighting research and development on metal halide high-intensity discharge lamps.
Atomic transition probabilities of Ce I from Fourier transform spectra
Lawler, J E; Wood, M P; Den Hartog, E A [Department of Physics, University of Wisconsin, 1150 University Ave., Madison, WI 53706 (United States); Chisholm, J [Department of Physics, Boston College, 140 Commonwealth Ave., Chestnut Hill, MA 02467 (United States); Nitz, D E [Department of Physics, St. Olaf College, 1520 St. Olaf Ave., Northfield, MN 55057 (United States); Sobeck, J, E-mail: jelawler@wisc.ed, E-mail: chishojd@bc.ed, E-mail: nitz@stolaf.ed, E-mail: mpwood@wisc.ed, E-mail: jsobeck@uchicago.ed, E-mail: eadenhar@wisc.ed [Department of Astronomy and Astrophysics, University of Chicago, 5640 Ellis Ave., Chicago, IL 60637 (United States)
2010-04-28
Atomic transition probabilities for 2874 lines of the first spectrum of cerium (Ce I) are reported. These data are from new branching fraction measurements on Fourier transform spectra normalized with previously reported radiative lifetimes from time-resolved laser-induced-fluorescence measurements (Den Hartog et al 2009 J. Phys. B: At. Mol. Opt. Phys. 42 085006). The wavelength range of the data set is from 360 to 1500 nm. Comparisons are made to previous investigations which are less extensive. Accurate Ce i transition probabilities are needed for lighting research and development on metal halide high-intensity discharge lamps.
Electric quadrupole transition probabilities for singly ionized magnesium
Electric quadrupole transition probabilities for Mg II have been calculated within the weakest bound electron potential model (WBEPM) theory using experimental energy levels and theoretical expectation values of orbital radii corresponding to those energy levels under the assumption of the LS coupling scheme. In this work, the WBEPM theory has been applied to forbidden transitions for the first time. The present results are consistent with earlier theoretical calculations. Some of these results are reported for the first time.
Collision strengths and transition probabilities for Co III forbidden lines
Storey, P. J.; Sochi, Taha
2016-07-01
In this paper we compute the collision strengths and their thermally averaged Maxwellian values for electron transitions between the 15 lowest levels of doubly ionized cobalt, Co2+, which give rise to forbidden emission lines in the visible and infrared region of spectrum. The calculations also include transition probabilities and predicted relative line emissivities. The data are particularly useful for analysing the thermodynamic conditions of supernova ejecta.
Acceleration radiation, transition probabilities, and trans-Planckian physics
Agulló, Iván; Navarro-Salas, José; Olmo, Gonzalo J.; Parker, Leonard
2010-01-01
An important question in the derivation of the acceleration radiation, which also arises in Hawking's derivation of black hole radiance, is the need to invoke trans-Planckian physics for the quantum field that originates the created quanta. We point out that this issue can be further clarified by reconsidering the analysis in terms of particle detectors, transition probabilities, and local two-point functions. By writing down separate expressions for the spontaneous- and induced-transition pr...
Collision strengths and transition probabilities for Co III forbidden lines
Storey, P J
2016-01-01
In this paper we compute the collision strengths and their thermally-averaged Maxwellian values for electron transitions between the fifteen lowest levels of doubly-ionised cobalt, Co^{2+}, which give rise to forbidden emission lines in the visible and infrared region of spectrum. The calculations also include transition probabilities and predicted relative line emissivities. The data are particularly useful for analysing the thermodynamic conditions of supernova ejecta.
Uniform asymptotic estimates of transition probabilities on combs
Bertacchi, Daniela; Zucca, Fabio
2000-01-01
We investigate the asymptotical behaviour of the transition probabilities of the simple random walk on the 2-comb. In particular we obtain space-time uniform asymptotical estimates which show the lack of symmetry of this walk better than local limit estimates. Our results also point out the impossibility of getting Jones-type non-Gaussian estimates.
Transition probabilities between levels of K and K+
In this work transition probabilities between Ievels of n < 11 for K and for the known of K+ are calculated. Two computer programs based on the Coulomb approximation and the most suitable coupling schemes has been used. Lifetimes of all these levels are also calculated. (Author)
Transition probabilities, oscillator strengths and lifetimes for singly ionized magnesium
The electric dipole transition probabilities, oscillator strengths and lifetimes have been calculated using the weakest bound electron potential model theory (WBEPMT) for singly ionized magnesium. In the calculations both multiplet and fine structure transitions are studied. We have employed both the numerical Coulomb approximation (NCA) method and numerical non-relativistic Hartree-Fock (NRHF) wave functions for expectation values of radii. The calculated oscillator strengths and lifetimes have been compared with MCHF results given by Fischer et al. (2006). A good agreement has been obtained with the MCHF results. Moreover, some new transition probabilities, oscillator strengths and lifetime values, not existing in the data bases for highly excited levels in singly ionized magnesium, have been obtained using this method.
Revised transition probabilities for Fe XXV: Relativistic CI calculations
Revised data are provided for transition probabilities between fine-structure components of levels with n ≤ 6 in Fe XXV. Earlier published data for transitions between fine-structure levels in Fe XXV are found to be in error, especially for certain classes of transitions. The purpose of the present note is to provide a corrected database for transitions in Fe XXV. Wavefunctions and energies for states with n ≤ 6 and J = 0, 1, 2, 3 are determined using a relativistic configuration interaction (CI) expansion that includes the Breit interaction. To measure and control the numerical accuracy of the calculations, we compare our CI energies and matrix elements with values calculated using relativistic second-order many-body perturbation theory (MBPT), also including the Breit interaction. We obtain good agreement between our CI and MBPT calculations but disagree with earlier calculations for transitions with ΔL = 2 and for intercombination transitions (ΔS = 1). We provide wavelengths, line strengths, and transitions rates for fine-structure transition between levels with n ≤ 6 in Fe XXV
Absolute Frequency Measurement of Rubidium 5S-7S Two-Photon Transitions
Morzynski, Piotr; Ablewski, Piotr; Gartman, Rafal; Gawlik, Wojciech; Maslowski, Piotr; Nagorny, Bartlomiej; Ozimek, Filip; Radzewicz, Czeslaw; Witkowski, Marcin; Ciurylo, Roman; Zawada, Michal
2013-01-01
We report the absolute frequency measurements of rubidium 5S-7S two-photon transitions with a cw laser digitally locked to an atomic transition and referenced to an optical frequency comb. The narrow, two-photon transition, 5S-7S (760 nm) insensitive to first order in a magnetic field, is a promising candidate for frequency reference. The performed tests yield the transition frequency with accuracy better than reported previously.
Miller, M. H.; Roig, R. A.; Bengtson, R. D.
1979-01-01
Strengths and Stark-effect widths of the Sn I and Sn II lines prominent between 3200 and 7900 A are measured with a spectroscopic shock tube. Absolute strengths of 17 ionic lines are obtained with estimated (22-50)% accuracy and conform to appropriate quantum-mechanical sum rules. Relative transition probabilities for nine prominent neutral tin lines, normalized to radiative-lifetime data, are compared with other experiments and theoretical predictions. Parameters for Stark-effect broadening are measured over a range of plasma electron densities. Broadening data (with accuracies of 15-35%) for one neutral and ten ionic lines of tin are compared to theoretical predictions.
Maximum entropy estimation of transition probabilities of reversible Markov chains
Erik Van der Straeten
2009-01-01
In this paper, we develop a general theory for the estimation of the transition probabilities of reversible Markov chains using the maximum entropy principle. A broad range of physical models can be studied within this approach. We use one-dimensional classical spin systems to illustrate the theoretical ideas. The examples studied in this paper are: the Ising model, the Potts model and the Blume-Emery-Griffiths model.
Maximum Entropy Estimation of Transition Probabilities of Reversible Markov Chains
Erik Van der Straeten
2009-11-01
Full Text Available In this paper, we develop a general theory for the estimation of the transition probabilities of reversible Markov chains using the maximum entropy principle. A broad range of physical models can be studied within this approach. We use one-dimensional classical spin systems to illustrate the theoretical ideas. The examples studied in this paper are: the Ising model, the Potts model and the Blume-Emery-Griffiths model.
Estimating transition probabilities in unmarked populations --entropy revisited
Cooch, E.G.; Link, W.A.
1999-01-01
The probability of surviving and moving between 'states' is of great interest to biologists. Robust estimation of these transitions using multiple observations of individually identifiable marked individuals has received considerable attention in recent years. However, in some situations, individuals are not identifiable (or have a very low recapture rate), although all individuals in a sample can be assigned to a particular state (e.g. breeding or non-breeding) without error. In such cases, only aggregate data (number of individuals in a given state at each occasion) are available. If the underlying matrix of transition probabilities does not vary through time and aggregate data are available for several time periods, then it is possible to estimate these parameters using least-squares methods. Even when such data are available, this assumption of stationarity will usually be deemed overly restrictive and, frequently, data will only be available for two time periods. In these cases, the problem reduces to estimating the most likely matrix (or matrices) leading to the observed frequency distribution of individuals in each state. An entropy maximization approach has been previously suggested. In this paper, we show that the entropy approach rests on a particular limiting assumption, and does not provide estimates of latent population parameters (the transition probabilities), but rather predictions of realized rates.
Transition probabilities and radiative lifetimes of Mg III
Alonso-Medina, A.; Colón, C.; Moreno-Díaz, C.
2015-03-01
There have been calculated transition probabilities for 365 lines arising from 2p5 n s(n = 3 , 4 , 5) , 2p5 n p(n = 3 , 4) , 2p5 n d(n = 3 , 4) , 2p5 n f(n = 4 , 5) and 2p5 5g configurations of Mg III and radiative lifetimes corresponding to 89 levels. These values were obtained in intermediate coupling (IC) by using ab initio relativistic Hartree-Fock (HFR) calculations. Later, we use the standard method of least square fitting of experimental energy levels for the IC calculations by means of Cowan's computer codes. The vast majority of the calculated transition probabilities correspond to lines lying in the ultraviolet range (UV) which are of high interest in astrophysics. Our results are compared to those previously reported in the literature. Furthermore, the values of transition probabilities of configuration levels 2p5 4d, 2p5 n f(n = 4 , 5) and 2p5 5g are presented for the first time. In light of these findings, it is possible to extend the range of wavelengths which allows us to estimate the temperature in plasma diagnostic. In addition, our results for radiative lifetimes have been compared to the available experimental values.
Estimating transition probabilities among everglades wetland communities using multistate models
Hotaling, A.S.; Martin, J.; Kitchens, W.M.
2009-01-01
In this study we were able to provide the first estimates of transition probabilities of wet prairie and slough vegetative communities in Water Conservation Area 3A (WCA3A) of the Florida Everglades and to identify the hydrologic variables that determine these transitions. These estimates can be used in management models aimed at restoring proportions of wet prairie and slough habitats to historical levels in the Everglades. To determine what was driving the transitions between wet prairie and slough communities we evaluated three hypotheses: seasonality, impoundment, and wet and dry year cycles using likelihood-based multistate models to determine the main driver of wet prairie conversion in WCA3A. The most parsimonious model included the effect of wet and dry year cycles on vegetative community conversions. Several ecologists have noted wet prairie conversion in southern WCA3A but these are the first estimates of transition probabilities among these community types. In addition, to being useful for management of the Everglades we believe that our framework can be used to address management questions in other ecosystems. ?? 2009 The Society of Wetland Scientists.
Energy levels and transition probabilities for Fe XXV ions
The energy levels of the 1s2, 1s2l and 1s3l states of helium-like iron Fe XXV have been calculated using two sets of configuration-interaction wavefunctions. One set of wavefunctions was generated using the fully relativistic GRASP code and the other was obtained using CIV3, in which relativistic effects are introduced using the Breit-Pauli approximation. For transitions from the ground state to the n=2 and 3 states and for transitions between the n=2 and 3 states, the calculated excitation energies obtained by these two independent methods are in very good agreement and there is good agreement between these results and recent theoretical and experimental results. However, there is considerable disagreement between the various excitation energies for the transitions among the n=2 and also among the n=3 states. The two sets of wavefunctions are also used to calculate the E1, E2, M1 and M2 transition probabilities between all of the 1s2, 1s2l and 1s3l states of helium-like iron Fe XXV. The results from the two calculations are found to be similar and to compare very well with other recent results for Δn=1 or 2 transitions. For Δn=0 transitions the agreement is much less satisfactory; this is mainly due to differences in the excitation energies. (author)
Measurement of absolute gamma ray emission probability of 1001 keV from the decay of 234mPa
In the direct γ-ray spectrometric measurements of 238U content, 1001 keV γ-ray of 234mPa is commonly used in recent years. 234mPa is the second daughter of 238U and rapidly reaches secular equilibrium with the parent nucleus. This clean peak is well resolved by high purity Ge detectors and gives more accurate indication of uranium content without requiring any self attenuation correction. Several measurements of the absolute emission probability of the 1001 keV γ-ray of 234mPa have resulted in doubts concerning the old recommended value 0.59±0.01 % obtained by a radiochemical method. Therefore, this old value is now absolute and a newly value of 0.835±0.004 % is recommended. In this study the γ-ray spectrometric measurements were carried out using the powdered U3O8 and the certified uranium samples. A new experimental value o 0.861±0.015 % for the absolute γ-ray emission probability for the 1001 keV gamma-ray of the 234mPa has been obtained. The present measured values agrees good with the most experimental results appeared in the literature and is close to the newly recommended values of 0.835±0.004 % and 0.837±0.012 % for the 1001 keV γ-ray of 234mPa
Kobayashi, Takumi; Hosaka, Kazumoto; Inaba, Hajime; Okubo, Sho; Tanabe, Takehiko; Yasuda, Masami; Onae, Atsushi; Hong, Feng-Lei
2016-01-01
We report absolute frequency measurements of 81 hyperfine components of the rovibrational transitions of molecular iodine at 578 nm using the second harmonic generation of an 1156-nm external-cavity diode laser and a fiber-based optical frequency comb. The relative uncertainties of the measured absolute frequencies are typically $1.4\\times10^{-11}$. Accurate hyperfine constants of four rovibrational transitions are obtained by fitting the measured hyperfine splittings to a four-term effective Hamiltonian including the electric quadrupole, spin-rotation, tensor spin-spin, and scalar spin-spin interactions. The observed transitions can be good frequency references at 578 nm, and are especially useful for research using atomic ytterbium since the transitions are close to the $^{1}S_{0}-^{3}P_{0}$ clock transition of ytterbium.
The FERRUM Project: Experimental Transition Probabilities of [Fe II] and Astrophysical Applications
Hartman, H.; Derkatch, A.; Donnelly, M. P.; Gull, T.; Hibbert, A.; Johannsson, S.; Lundberg, H.; Mannervik, S.; Norlin, L. -O.; Rostohar, D.
2002-01-01
We report on experimental transition probabilities for thirteen forbidden [Fe II] lines originating from three different metastable Fe II levels. Radiative lifetimes have been measured of two metastable states by applying a laser probing technique on a stored ion beam. Branching ratios for the radiative decay channels, i.e. M1 and E2 transitions, are derived from observed intensity ratios of forbidden lines in astrophysical spectra and compared with theoretical data. The lifetimes and branching ratios are combined to derive absolute transition probabilities, A-values. We present the first experimental lifetime values for the two Fe II levels a(sup 4)G(sub 9/2) and b(sup 2)H(sub 11/2) and A-values for 13 forbidden transitions from a(sup 6)S(sub 5/2), a(sup 4)G(sub 9/2) and b(sup 4)D(sub 7/2) in the optical region. A discrepancy between the measured and calculated values of the lifetime for the b(sup 2)H(sub 11/2) level is discussed in terms of level mixing. We have used the code CIV3 to calculate transition probabilities of the a(sup 6)D-a(sup 6)S transitions. We have also studied observational branching ratios for lines from 5 other metastable Fe II levels and compared them to calculated values. A consistency in the deviation between calibrated observational intensity ratios and theoretical branching ratios for lines in a wider wavelength region supports the use of [Fe II] lines for determination of reddening.
Bures distance and transition probability for $\\alpha$-CPD-kernels
Dey, Santanu; Trivedi, Harsh
2016-01-01
If the symmetry (fixed invertible self adjoint map) of Krein spaces is replaced by a fixed unitary, then we obtain the notion of S-spaces which was introduced by Szafraniec. Assume $\\alpha$ to be an automorphism on a $C^*$-algebra. In this article, we obtain the Kolmogorov decomposition of $\\alpha$-completely positive definite (or $\\alpha$-CPD-kernels for short) and investigate the Bures distance between $\\alpha$-CPD-kernels. We also define transition probability for these kernels and find a ...
Transition probabilities at threshold for the photoionization of molecular nitrogen
The relative transition probabilities at threshold for the photoemission of molecular nitrogen to vibrational levels of the N2+ ion have been determined with high resolution photoelectron resonance spectroscopy using synchroton radiation. These threshold cross sections are found to be strongly influenced by ionizing Rydberg states which are not necessarily apparent in the absorption or photoion spectrum of nitrogen. In addition to the cross section data, the molecular parameters for the X, A and B states of N2 have been determined. (orig./BJ)
Presmoothing the transition probabilities in the illness-death model
Amorim, Ana Paula de; De Uña-Álvarez, Jacobo; Meira-Machado, Luís
2011-01-01
Abstract One major goal in clinical applications of multi-state models is the estimation of transition probabilities. In a recent paper, Meira-Machado, de U?a-Alvarez and Cadarso-Suarez (2006) introduce a substitute for the Aalen- Johansen estimator in the case of a non-Markov illness-death model. The idea behind their estimator is to weight the data by the Kaplan-Meier weights pertaining to the distribution of the total survival time of the process. In this paper we propose a modi...
Lifetimes, branching ratios, and transition probabilities in Co ii
Salih, S.; Lawler, J. E.; Whaling, W.
1985-01-01
The radiative lifetime of 14 levels in the z^5F, z^5D, and z^5G terms of Co ii have been measured with use of time-resolved laser fluorescence spectroscopy with a Co+-ion beam. Our lifetime values are shorter by 15–50 % than earlier results from beam-foil time-of-flight measurements. The lifetimes were converted to 41 individual transition probabilities with use of branching ratios measured on spectra recorded with the 1-m Fourier-transform spectrometer at the Kitt Peak National Observatory. ...
E2 Transition Probabilities in 114Te: a Conundrum
Lifetimes in 114Te were determined using the recoil distance Doppler-shift technique with a plunger device coupled to five HP Ge detectors enhanced by one Euroball Cluster detector. The experiment was carried out at the Cologne FN Tandem facility using the 93Nb(24Mg,p2n) reaction at 90 MeV. The differential decay curve method in coincidence mode was employed to derive lifetimes for seven excited states, while the lifetime of an isomeric state was obtained in singles mode. The resulting E2 transition probabilities are shown to be very anomalous in comparison with the vibrational energy spacings of the ground state band
E2 transition probabilities in 114Te: A conundrum
Lifetimes in 114Te were determined using the recoil distance Doppler-shift technique with a plunger device coupled to five HP Ge detectors enhanced by one Euroball cluster detector. The experiment was carried out at the Cologne FN Tandem facility using the 93Nb(24Mg,p2n) reaction at 90 MeV. The differential decay curve method in coincidence mode was employed to derive lifetimes for seven excited states, whereas the lifetime of an isomeric state was obtained in singles mode. The resulting E2 transition probabilities are shown to be very anomalous in comparison with the vibrational energy spacings of the ground-state band
Entropy, Entanglement, and Transition Probabilities in Neutrino Oscillations
Blasone, Massimo; De Siena, Silvio; Illuminati, Fabrizio
2007-01-01
We show that the phenomenon of flavor oscillations can be described in terms of entangled flavor states belonging to the classes of Bell and W states. We analyze bipartite and multipartite flavor entanglements as measured by the reduced linear entropies of all possible bipartitions. Such entanglement monotones are found to be essentially equivalent to the flavor transition probabilities, that are experimentally accessible quantities. Therefore entanglement acquires a novel, operational physical characterization in the arena of elementary particle physics. We discuss in detail the fundamental cases of two- and three-flavor neutrino oscillations.
Transition probability of the Al II 2669 intersystem line
Johnson, B. C.; Smith, P. L.; Parkinson, W. H.
1986-01-01
Time-resolved observations of the spin-changing, or 'intersystem' emission at 2669.157 A obtained by the ion storage technique are used to measure the transition probability of the 3s2 1S0 - 3s3p 3P1 exp 0 line in Al II. A laser-generated plasma was used as the source of the metastable Al(+) ions. The A-value result obtained for the intersystem transition is 3.33 + or - 0.23 x 10 to the 3rd/sec at the 90-percent confidence level; this value is used to derive two line-intensity ratios which involve the intersystem line as a function of electron density and temperature.
The absolute frequency of the ^{87}Sr optical clock transition
Campbell, Gretchen K.; Ludlow, Andrew D.; Blatt, Sebastian;
2008-01-01
The absolute frequency of the 1S0–3P0 clock transition of 87Sr has been measured to be 429 228 004 229 873.65 (37) Hz using lattice-confined atoms, where the fractional uncertainty of 8.6 × 10-16 represents one of the most accurate measurements of an atomic transition frequency to date. After a d...
Oscillator strengths and transition probabilities for the W xlv ion
In this paper we present oscillator strengths and transition probabilities for W xlv transitions between levels arising from configurations 3d104s2,4p2,4d2, 3d104k4l (k = s,p,d,f and l = p,d,f), 3d94s24l (l = p,d,f) and 3d94s4p2. The model used to calculate these contained all configurations which can be constructed from the available orbitals (up to n = 4), with either a 3d10 or 3d9 core. The calculations were performed with the configuration interaction CIV3 program with the inclusion of relativistic effects achieved through the use of the Breit–Pauli approximation. We compare our ab initio energy levels, oscillator strengths and transition rates with other experimental and theoretical values available in the literature. There is generally good agreement when only levels with 3d10 cores are considered. The literature is sparse for levels in which the 3d-subshell is opened: for the majority of the fine-structure lines considered, there is either no comparison data available or substantial differences are found. This paper also investigates how the inclusion of relativistic effects can result in a significant redistribution of the oscillator strength from the LS calculations. (paper)
Oscillator strengths and transition probabilities for the W xlv ion
Spencer, S.; Hibbert, A.; Ramsbottom, C. A.
2014-12-01
In this paper we present oscillator strengths and transition probabilities for W xlv transitions between levels arising from configurations 3d104s2,4p2,4d2, 3d104k4l (k = s,p,d,f and l = p,d,f), 3d94s24l (l = p,d,f) and 3d94s4p2. The model used to calculate these contained all configurations which can be constructed from the available orbitals (up to n = 4), with either a 3d10 or 3d9 core. The calculations were performed with the configuration interaction CIV3 program with the inclusion of relativistic effects achieved through the use of the Breit-Pauli approximation. We compare our ab initio energy levels, oscillator strengths and transition rates with other experimental and theoretical values available in the literature. There is generally good agreement when only levels with 3d10 cores are considered. The literature is sparse for levels in which the 3d-subshell is opened: for the majority of the fine-structure lines considered, there is either no comparison data available or substantial differences are found. This paper also investigates how the inclusion of relativistic effects can result in a significant redistribution of the oscillator strength from the LS calculations.
Atomic data from plasma based measurements and compilations of transition probabilities
Griesmann, U.; Bridges, J.M.; Roberts, J.R.; Wiese, W.L.; Fuhr, J.R. [National Inst. of Standards and Technology, Gaithersburg, MD (United States)
1996-12-31
High efficiency electrical light sources used in lighting applications are based on electrical discharges in plasmas. The systematic search for improved lighting plasmas increasingly relies on plasma discharge modeling with computers and requires better and more comprehensive knowledge of basic atomic data such as radiative transition probabilities and collision cross sections. NIST has ongoing research programs aimed at the study of thermal equilibrium plasmas such as high pressure electric arcs and non-equilibrium plasmas in radio-frequency discharges and high current hallow cathode lamps. In emission experiments the authors have measured branching fractions and determined absolute transition probabilities for spectral lines in Ne I, Ne II, F I, O I and O II. Some measurements were aimed specifically at transitions where significant disagreement among advanced calculations exists. The experimental data thus serve as benchmarks for new critical data compilations at NIST which are largely based on comprehensive, sophisticated atomic structure calculations. Typical results of the recent measurements and of the new NIST data compilations will be shown.
Theoretical electric quadrupole transition probabilities for Ca, Sr and Ba
Bauschlicher, C. W., Jr.; Langhoff, S. R.; Jaffe, R. L.; Partridge, H.
1984-01-01
The 1D-1S quadrupole transition probabilities for Ca, Sr and Ba have been computed using extended GTO and STO valence basis sets and configuration-interaction wavefunctions that include the important core-valence correlation effects. For Ba and Sr, the relativistic contraction of the core orbitals was accounted for in the GTO calculations by a relativistic effective-core potential. The computed Einstein coefficient for Ca of 39.6/s is in excellent agreement with the recent experimental value of 40 + or - 8/s. The best Einstein coefficients for Sr (44.7/s) and Ba (2.98/s) imply increasing quadrupole line strengths down the column. Relativistic effects substantially increase the quadrupole Einstein coefficient for Ba.
Radiative lifetimes and transition probabilities of neutral lanthanum
Den Hartog, E. A.; Palmer, A. J.; Lawler, J. E.
2015-08-01
The radiative lifetimes of 72 odd-parity levels of neutral lanthanum are measured to ±5% accuracy using time-resolved laser-induced fluorescence on a slow atomic beam. The levels range in energy from 15031 to 32140 cm-1. Branching fraction measurements using Fourier-transform spectroscopy are attempted and completed for all of the 72 levels. The branching fractions, when combined with the radiative lifetimes, yield new transition probabilities for 315 lines of the first spectrum of lanthanum (La i ). This study is part of a larger body of work on the radiative properties of rare earth neutral atoms, and is motivated by research needs in lighting science and astrophysics.
Radiative transition probabilities in the X2Πg state of CO2+
Using ab initio calculated potential energy and electric dipole moment functions, absolute radiative transition probabilities between the rovibronic Renner-Teller states of the electronic ground state X2Πg of CO2+ have been evaluated. The rovibronic eigenstates were obtained (up to 6500cm-1 and J≤(13)/2 ) from variational calculations including the Renner-Teller and spin-orbit angular momentum couplings. The absolute intensities for the rovibrational states of the neutral CO2 electronic ground state, calculated by a similar approach, are found to be in excellent agreement with experimental data. For CO2+ the presented results are expected to have similar accuracy. It is found that the overtone intensities of the antisymmetric stretching mode of CO2+ are of similar magnitude as the fundamental transitions, in contrast with CO2. The theoretically generated IR-emission spectrum is compared with the limb spectrum of the Mars atmosphere, measured by the Thermal Emission Spectrometer on Mars Global Surveyor
Absolute frequency measurement of the 1S0 - 3P0 transition of 171Yb
Pizzocaro, Marco; Rauf, Benjamin; Bregolin, Filippo; Milani, Gianmaria; Clivati, Cecilia; Costanzo, Giovanni A; Levi, Filippo; Calonico, Davide
2016-01-01
We report the absolute frequency measurement of the unperturbed transition 1S0 - 3P0 at 578 nm in 171Yb realized in an optical lattice frequency standard. The absolute frequency is measured 518 295 836 590 863.55(28) Hz relative to a cryogenic caesium fountain with a fractional uncertainty of 5.4x10-16 . This value is in agreement with the ytterbium frequency recommended as a secondary representation of the second in the International System of Units.
Transition probabilities in neutron-rich Se,8684
Litzinger, J.; Blazhev, A.; Dewald, A.; Didierjean, F.; Duchêne, G.; Fransen, C.; Lozeva, R.; Sieja, K.; Verney, D.; de Angelis, G.; Bazzacco, D.; Birkenbach, B.; Bottoni, S.; Bracco, A.; Braunroth, T.; Cederwall, B.; Corradi, L.; Crespi, F. C. L.; Désesquelles, P.; Eberth, J.; Ellinger, E.; Farnea, E.; Fioretto, E.; Gernhäuser, R.; Goasduff, A.; Görgen, A.; Gottardo, A.; Grebosz, J.; Hackstein, M.; Hess, H.; Ibrahim, F.; Jolie, J.; Jungclaus, A.; Kolos, K.; Korten, W.; Leoni, S.; Lunardi, S.; Maj, A.; Menegazzo, R.; Mengoni, D.; Michelagnoli, C.; Mijatovic, T.; Million, B.; Möller, O.; Modamio, V.; Montagnoli, G.; Montanari, D.; Morales, A. I.; Napoli, D. R.; Niikura, M.; Pollarolo, G.; Pullia, A.; Quintana, B.; Recchia, F.; Reiter, P.; Rosso, D.; Sahin, E.; Salsac, M. D.; Scarlassara, F.; Söderström, P.-A.; Stefanini, A. M.; Stezowski, O.; Szilner, S.; Theisen, Ch.; Valiente Dobón, J. J.; Vandone, V.; Vogt, A.
2015-12-01
Reduced quadrupole transition probabilities for low-lying transitions in neutron-rich Se,8684 are investigated with a recoil distance Doppler shift (RDDS) experiment. The experiment was performed at the Istituto Nazionale di Fisica Nucleare (INFN) Laboratori Nazionali di Legnaro using the Cologne Plunger device for the RDDS technique and the AGATA Demonstrator array for the γ -ray detection coupled to the PRISMA magnetic spectrometer for an event-by-event particle identification. In 86Se the level lifetime of the yrast 21+ state and an upper limit for the lifetime of the 41+ state are determined for the first time. The results of 86Se are in agreement with previously reported predictions of large-scale shell-model calculations using Ni78-I and Ni78-II effective interactions. In addition, intrinsic shape parameters of lowest yrast states in 86Se are calculated. In semimagic 84Se level lifetimes of the yrast 41+ and 61+ states are determined for the first time. Large-scale shell-model calculations using effective interactions Ni78-II, JUN45, jj4b, and jj4pna are performed. The calculations describe B (E 2 ;21+→01+) and B (E 2 ;61+→41+) fairly well and point out problems in reproducing the experimental B (E 2 ;41+→21+) .
Calculation of transition probabilities using the multiconfiguration Dirac-Fock method
The performance of the multiconfiguration Dirac-Fock (MCDF) method in calculating transition probabilities of atoms is reviewed. In general, the MCDF wave functions will lead to transition probabilities accurate to ∼ 10% or better for strong, electric-dipole allowed transitions for small atoms. However, it is more difficult to get reliable transition probabilities for weak transitions. Also, some MCDF wave functions for a specific J quantum number may not reduce to the appropriate L and S quantum numbers in the nonrelativistic limit. Transition probabilities calculated from such MCDF wave functions for nonrelativistically forbidden transitions are unreliable. Remedies for such cases are discussed
Calculation of transition probabilities using the multiconfiguration Dirac-Fock method
The performance of the multiconfiguration Dirac-Fock (MCDF) method in calculating transition probabilities of atoms is reviewed. In general, the MCDF wave functions will lead to transition probabilities accurate to ∼10% or better for strong, electric-dipole allowed transitions for small atoms. However, it is more difficult to get reliable transition probabilities for weak transitions. Also, some MCDF wave functions for specific J quantum number may not reduce to the appropriate L and S quantum numbers in the nonrelativistic limit. Transition probabilities calculation from such MCDF wave functions for nonrelativistically forbidden transitions are unreliable. Remedies for such cases are discussed.
The main focus of this paper is the theoretical study of the 3P1→1S0 intercombination transition probabilities of the group-IIIA ions that are excellent candidates for high-accuracy atomic clocks. The importance of relativistic effects on the intercombination transition probabilities is made apparent by comparing their calculated values with those of the allowed 1P1→1S0 transition probabilities. In striking contrast to the allowed transition probabilities, the intercombination transition probabilities exhibit a strong Z dependence
Matter-enhanced transition probabilities in quantum field theory
The relativistic quantum field theory is the unique theory that combines the relativity and quantum theory and is invariant under the Poincaré transformation. The ground state, vacuum, is singlet and one particle states are transformed as elements of irreducible representation of the group. The covariant one particles are momentum eigenstates expressed by plane waves and extended in space. Although the S-matrix defined with initial and final states of these states hold the symmetries and are applied to isolated states, out-going states for the amplitude of the event that they are detected at a finite-time interval T in experiments are expressed by microscopic states that they interact with, and are surrounded by matters in detectors and are not plane waves. These matter-induced effects modify the probabilities observed in realistic situations. The transition amplitudes and probabilities of the events are studied with the S-matrix, S[T], that satisfies the boundary condition at T. Using S[T], the finite-size corrections of the form of 1/T are found. The corrections to Fermi’s golden rule become larger than the original values in some situations for light particles. They break Lorentz invariance even in high energy region of short de Broglie wave lengths. -- Highlights: •S-matrix S[T] for the finite-time interval in relativistic field theory. •S[T] satisfies the boundary condition and gives correction of 1/T . •The large corrections for light particles breaks Lorentz invariance. •The corrections have implications to neutrino experiments
The magnetic field-induced giant modification of probabilities for seven components of 6S1/2, Fg = 3 → 6P3/2, Fe = 5 transition of the Cs D2 line, forbidden by selection rules, is observed experimentally for the first time. For the case of excitation with circularly polarized laser radiation, the probability of a Fg = 3, mF = −3 → Fe = 5, mF = −2 transition becomes the largest of 25 transitions of the Fg = 3 → Fe = 2,3,4,5 group in a wide-range magnetic field of 200–3200 G. Moreover, the modification is the largest among D2 lines of alkali metals. A half-wave-thick cell (the length along the beam propagation axis L = 426 nm) filled with Cs has been used in order to achieve sub-Doppler resolution, which allows the large number of atomic transitions that appear in the absorption spectrum to be separated when an external magnetic field is applied. For B > 3000 G the group of seven transitions Fg = 3 → Fe = 5 is completely resolved and is located at the high frequency level of Fg= 3 → Fe = 2,3,4 transitions. The applied theoretical model describes very well the experimental curves. (letters)
Broken scaling laws of the transition probabilities from jj to LS coupling transitions
Accurate electromagnetic transition rates between the ground electronic configurations are important in diagnostic studies of planetary nebulae. Based on a “quasi-complete basis” set, we present large-scale multi-configuration Dirac–Fock calculations of the forbidden transition rates within the ground electronic configuration along the nitrogen-like isoelectronic sequence. The broken scaling laws of the transition probabilities from jj to LS coupling transitions are elucidated and found to be extensions of the well-known scaling laws discussed in the single electron case. The equivalent oscillator strength is very large for ions in high-Z regions and should play a crucial role in the cooling mechanism in astrophysics.
Absolute measurement of the relativistic magnetic dipole transition energy in heliumlike argon.
Amaro, Pedro; Schlesser, Sophie; Guerra, Mauro; Le Bigot, Eric-Olivier; Isac, Jean-Michel; Travers, Pascal; Santos, José Paulo; Szabo, Csilla I; Gumberidze, Alexandre; Indelicato, Paul
2012-07-27
The 1s2s (3)S(1)→1s(2) (1)S(0) relativistic magnetic dipole transition in heliumlike argon, emitted by the plasma of an electron-cyclotron resonance ion source, has been measured using a double-flat crystal x-ray spectrometer. Such a spectrometer, used for the first time on a highly charged ion transition, provides absolute (reference-free) measurements in the x-ray domain. We find a transition energy of 3104.1605(77) eV (2.5 ppm accuracy). This value is the most accurate, reference-free measurement done for such a transition and is in good agreement with recent QED predictions. PMID:23006085
Duality-based calculations for transition probabilities in birth-death processes
Ohkubo, Jun
2015-01-01
Transition probabilities in birth-death processes are fomulated via the corresponding dual birth-death processes. In order to obtain the corresponding dual processes, the Doi-Peliti formalism is employed. Conventional numerical evaluation enables us to obtain the transition probabilities from a fixed initial state; on the other hand, the duality relation gives us a useful method to calculate the transition probabilities to a fixed final state. Furthermore, it is clarified that the transition ...
TRANSITION PROBABILITIES FOR STUDENT-TEACHER POPULATION GROWTH MODEL (DYNAMOD II).
ZINTER, JUDITH R.
THIS NOTE PRESENTS THE TRANSITION PROBABILITIES CURRENTLY IN USE IN DYNAMOD II. THE ESTIMATING PROCEDURES USED TO DERIVE THESE PROBABILITIES WERE DISCUSSED IN THESE RELATED DOCUMENTS--EA 001 016, EA 001 017, EA 001 018, AND EA 001 063. THE TRANSIT ON PROBABILITIES FOR FOUR SEX-RACE GROUPS ARE SHOWN ALONG WITH THE DONOR-RECEIVER CODES TO WHICH THEY…
Vongehr, Sascha
2013-01-01
Experimental violation of Bell-inequalities disproves actualization of single futures (~ 'naive realism'). To show this self-contained pedagogically, I resolve the Einstein-Podolsky-Rosen paradox by starting with a trivial non-quantum many-worlds model that already has 'apparent non-locality'. I modify it, constructing a visually intuitive classical-to-quantum transition model. 'Model-external randomness' (a ghost outside the universe throwing a pebble on state-space) stays unchanged, but the modeled observers witness even stronger Bell-violation than standard quantum probability P. P is derived from classical-to-quantum consistency. Model-internal probability (~ subjective Bayesianism) is derived as a measure of surprise (~ Deutsch's rational expectation) and shown to be reflected in the empirical records. The model shows how absolute actualization, say by hidden variables, fails. Models with standard quantum probabilities are supplied for completeness. The transition model is then presented as the first tou...
Probable metal-insulator transition in Ag4SSe
Highlights: • New phase transition in Ag4SSe was discovered with scanning calorimetry and supported with X-ray powder diffraction. • The thermal effect relates to the anomaly in electrical and thermal conductivity of Ag4SSe. • Similar thermal and electrical effects in K3Cu8S6 are explained with the metal-insulator transition. - Abstract: New phase transition (285 K) in low-temperature monoclinic Ag4SSe was found out below the α-β transition (358 K) after the measurements with differential scanning calorimetry. The transition reveals significant hysteresis (over 30 K). X-ray powder diffraction shows that the superlattice with doubled a and b parameters of the unit cell exists below the new transition point. The signs of this new phase transition can be found in thermal and electrical conductivity of Ag4SSe published in literature. Elusive phase transition in Ag2Se shows similar properties. The new transition is likely related to the metal-insulator type transition, like K3Cu8S6
THE TRANSITION PROBABILITY MATRIX OF A MARKOV CHAIN MODEL IN AN ATM NETWORK
YUE Dequan; ZHANG Huachen; TU Fengsheng
2003-01-01
In this paper we consider a Markov chain model in an ATM network, which has been studied by Dag and Stavrakakis. On the basis of the iterative formulas obtained by Dag and Stavrakakis, we obtain the explicit analytical expression of the transition probability matrix. It is very simple to calculate the transition probabilities of the Markov chain by these expressions. In addition, we obtain some results about the structure of the transition probability matrix, which are helpful in numerical calculation and theoretical analysis.
The Probability of Transition to Entrepreneurship Revisited: Wealth, Education and Age
Mondragon-Velez, Camilo
2009-01-01
This paper revisits the empirical relationship between the probability of transition to entrepreneurship and wealth. Given that wealth is correlated with both education and age, these observable characteristics cannot be treated as independent covariates in the estimation. Thus, I document the differences in the transition probability profile across age and education groups. The main result of this paper is that the estimated probability of transition to entrepreneurship is hump-shaped in wea...
Oliveira, Roberto Imbuzeiro
2013-01-01
This paper introduces the concept of random context representations for the transition probabilities of a finite-alphabet stochastic process. Processes with these representations generalize context tree processes (a.k.a. variable length Markov chains), and are proven to coincide with processes whose transition probabilities are almost surely continuous functions of the (infinite) past. This is similar to a classical result by Kalikow about continuous transition probabilities. Existence and un...
Estimation and asymptotic theory for transition probabilities in Markov Renewal Multi–state models
Spitoni, Cristian; Verduijn, Marion; Putter, Hein
2012-01-01
In this paper we discuss estimation of transition probabilities for semi-Markov multi-state models. Non-parametric and semi-parametric estimators of the transition probabilities for a large class of models (forward going models) are proposed. Large sample theory is derived using the functional delta method and the use of resampling is proposed to derive confidence bands for the transition probabilities. The last part of the paper concerns the presentation of the main ideas of the R implementa...
Absolute X-ray emission cross section measurements of Fe K transitions
Hell, Natalie; Brown, Gregory V.; Beiersdorfer, Peter; Boyce, Kevin R.; Grinberg, Victoria; Kelley, Richard L.; Kilbourne, Caroline; Leutenegger, Maurice A.; Porter, Frederick Scott; Wilms, Jörn
2016-06-01
We have measured the absolute X-ray emission cross sections of K-shell transitions in highly charged L- and K-shell Fe ions using the LLNL EBIT-I electron beam ion trap and the NASA GSFC EBIT Calorimeter Spectrometer (ECS). The cross sections are determined by using the ECS to simultaneously record the spectrum of the bound-bound K-shell transitions and the emission from radiative recombination from trapped Fe ions. The measured spectrum is then brought to an absolute scale by normalizing the measured flux in the radiative recombination features to their theoretical cross sections, which are well known. Once the spectrum is brought to an absolute scale, the cross sections of the K-shell transitions are determined. These measurements are made possible by the ECS, which consists of a 32 channel array, with 14 channels optimized for detecting high energy photons (hν > 10 keV) and 18 channels optimized for detecting low energy photons (hν collection area, relatively high energy resolution, and a large bandpass; all properties necessary for this measurement technique to be successful. These data will be used to benchmark cross sections in the atomic reference data bases underlying the plasma modeling codes used to analyze astrophysical spectra, especially those measured by the Soft X-ray Spectrometer calorimeter instrument recently launched on the Hitomi X-ray Observatory.This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344, and supported by NASA grants to LLNL and NASA/GSFC and by ESA under contract No. 4000114313/15/NL/CB.
Absolute Frequency Measurements of the D1 and D2 Transitions in Aatomic Li
Sheets, Donal; Almaguer, Jose; Baron, Jacob; Elgee, Peter; Rowan, Michael; Stalnaker, Jason
2014-05-01
We present preliminary results from our measurements of the D1 and D2 transitions in Li. The data were obtained from a collimated atomic beam excited by light from an extended cavity diode laser. The frequency of the diode laser was stabilized to an optical frequency comb, providing absolute frequency measurement and control of the excitation laser frequency. These measurements will provide a stringent test of atomic structure calculations and yield information about the nuclear structure. We also discuss plans to extend the technique to other high-lying states in lithium. Funded by the NIST Precision Measurements Grant and NSF Award #1305591.
Relativistic allowed and forbidden transition probabilities for fluorine-like Fe-XVIII
Energy levels and the corresponding transition probabilities for allowed and forbidden transitions among the levels of the ground configuration and first 23 excited configurations of fluorine-like Fe-XVIII have been calculated using the multiconfigurational Dirac-Fock GRASP code. A total of 379 lowest bound levels of Fe-XVIII is presented, and the energy levels are identified in spectroscopic notations. Transition probabilities, oscillator strengths and line strengths for electric dipole (E1), electric quadrupole (E2) and magnetic dipole (M1) transitions among these 379 levels are also presented. The calculated energy levels and transition probabilities are compared with experimental data. (authors)
Absolute transition probabilities for lines of Cr II, Na II and Sb I were determined by emission spectroscopy of laser induced plasmas. The plasma was produced focusing the emission of a pulsed Nd-Yag laser on solid samples containing the atom in study. The light arising from the plasma region was collected by and spectrometer. the detector used was a time-resolved optical multichannel analyzer (OMA III EG and G). The wavelengths of the measured transitions range from 2000 to 4100 A. The spectral resolution of the system was 0.2 A. The method can be used in insulators materials as Cl Na crystals and in metallic samples as Al-Cr and Sn-Sb alloys. To avoid self-absorption effects the alloys were made with low Sb or Cr content. Relative transition probabilities have been determined from measurements of emission-line intensities and were placed on an absolute scale by using, where possible, accurate experimental lifetime values form the literature or theoretical data. From these measurements, values for plasma temperature (8000-24000K), electron densities (approx 10 ''16 cm''-3) and self-absorption coefficients have been obtained
Absolute transition probabilities for lines of CR II, Na II and Sb I were determined by emission spectroscopy of laser induced plasmas. the plasma was produced focusing the emission of a pulsed Nd-Yag laser on solid samples containing the atom in study. the light arising from the plasma region was collected by and spectrometer. the detector used was a time-resolved optical multichannel analyzer (OMA III EG and G). The wavelengths of the measured transitions range from 2000 sto 4100 A. The spectral resolution of the system was 0. 2 A. The method can be used in insulators materials as Cl Na crystals and in metallic samples as Al-Cr and Sn-Sn alloys. to avoid self-absorption effects the alloys were made with low Sb or Cr content. Relative transition probabilities have been determined from measurements of emission-line intensities and were placed on an absolute scale by using, where possible, accurate experimental lifetime values form the literature or theoretical data. From these measurements, values for plasma temperature (8000-24000 K), electron densities (∼∼ 10''16 cm ''-3) and self-absorption coefficients have been obtained. (Author) 56 refs
Oscillator strengths and transition probabilities for the intercombination transitions in Fe XXII
Oscillator strengths and transition probabilities are evaluated for intercombination transitions between the 2s22p, 2s2p2 and 2p3 states of Fe XXII using configuration interaction wavefunctions. The fine-structure splittings have also been calculated. Some significant differences with previous calculations are obtained. At present there are no experimental results, however, from calculations reported here the intercombination lines 2s2p24Psub(3/2) → 2p32D0sub(3/2) and 2s2p24Psub(5/2) → 2p32D0sub(5/2) could perhaps be found experimentally. For the 2p32D0sub(3/2) and 2D0sub(3/2) and 2D0sub(5/2) levels lifetimes of 0.474 ns and 0.557 ns respectively have been obtained. (author)
Rajput, M. U.; Ali, N.; Hussain, S.; Mujahid, S. A.; MacMahon, D.
2012-04-01
The radionuclide 125Sb is a long-lived fission product, which decays to 125Te by negative beta emission with a half-life of 1008 day. The beta decay is followed by the emission of several gamma radiations, ranging from low to medium energy, that can suitably be used for high-resolution detector calibrations, decay heat calculations and in many other applications. In this work, the beta decay of 125Sb has been studied in detail. The complete published experimental data of relative gamma ray intensities in the beta decay of the radionuclide 125Sb has been compiled. The consistency analysis was performed and discrepancies found at several gamma ray energies. Evaluation of the discrepant data was carried out using Normalized Residual and RAJEVAL methods. The decay scheme balance was carried out using beta branching ratios, internal conversion coefficients, populating and depopulating gamma transitions to 125Te levels. The work has resulted in the consistent conversion factor equal to 29.59(13) %, and determined a new evaluated set of the absolute gamma ray emission probabilities. The work has also shown 22.99% of the delayed intensity fraction as outgoing from the 58 d isomeric 144 keV energy level and 77.01% of the prompt intensity fraction reaching to the ground state from the other excited states. The results are discussed and compared with previous evaluations. The present work includes additional experimental data sets which were not included in the previous evaluations. A new set of recommended relative and absolute gamma ray emission probabilities is presented.
Pointwise upper estimates for transition probability of continuous time random walks on graphs
Chen, Xinxing
2013-01-01
Let $X$ be a continuous time random walk on a weighted graph. Given the on-diagonal upper bounds of transition probabilities at two vertices $x_1$ and $x_2$, we use an adapted metric initiated by Davies, and obtain Gaussian upper estimates for the off-diagonal transition probability $P_{x_1}(X_t=x_2)$.
Positivity of transition probabilities of infinite-dimensional diffusion processes on ellipsoids
Manita, Oxana
2015-01-01
We consider diffusion processes in Hilbert spaces with constant non-degenerate diffusion operators and show that, under broad assumptions on the drift, the transition probabilities of the process are positive on ellipsoids associated with the diffusion operator. This is an infinite-dimensional analogue of positivity of densities of transition probabilities. Our results apply to diffusions corresponding to stochastic partial differential equations.
Derivation of the dipole approximation from the exact transition probabilities for hydrogen atoms
The usual dipole approximation for the transition probabilities for hydrogen atoms is derived from the exact transition probabilities by considering j = 1 photons only, neglecting retardation, and using an identity derived from the wave equation for the radial wave function for the atom
Measurements of atomic transition probabilities in highly ionized atoms by fast ion beams
A summary is given of the beam-foil method by which level lifetimes and transition probabilities can be determined in atoms and ions. Results are presented for systems of particular interest for fusion research, such as the Li, Be, Na, Mg, Cu and Zn isoelectronic sequences. The available experimental material is compared to theoretical transition probabilities. (author)
SAITO Keiji; Kayanuma, Yosuke
2001-01-01
Dissipative effects on the nonadiabatic transition for the two and three level systems are studied. When the system is affected by a strong dissipation through the diabatic states, the exact transition probability is enumerated making use of the effective master equation. In the two-level system, we consider the case where the external field is swept from not only a negative large value but also from the resonant field, and the exact transition probabilities in these cases are derived. The tr...
On Zero avoiding Transition Probabilities of an r-node Tandem Queue - a Combinatorial Approach
Böhm, Walter (entrevistador); Jain, J. L.; Mohanty, Sri Gopal
1992-01-01
In this paper we present a simple combinatorial approach for the derivation of zero avoiding transition probabilities in a Markovian r- node series Jackson network. The method we propose offers two advantages: first, it is conceptually simple because it is based on transition counts between the nodes and does not require a tensor representation of the network. Second, the method provides us with a very efficient technique for numerical computation of zero avoiding transition probabilities. (a...
Gamma Limit for Transition Paths of Maximal Probability
Pinski, F. J.; Stuart, A. M.; Theil, F.
2011-01-01
Chemical reactions can be modelled via diffusion processes conditioned to make a transition between specified molecular configurations representing the state of the system before and after the chemical reaction. In particular the model of Brownian dynamics - gradient flow subject to additive noise - is frequently used. If the chemical reaction is specified to take place on a given time interval, then the most likely path taken by the system is a minimizer of the Onsager-Machlup functional. Th...
Matyugin, Yu A; Ignatovich, S M; Kuznetsov, Sergei A; Nesterenko, M I; Okhapkin, M V; Pivtsov, V S; Skvortsov, Mikhail N; Bagaev, Sergei N [Institute of Laser Physics, Siberian Branch, Russian Academy of Sciences, Novosibirsk (Russian Federation)
2012-03-31
We report high-precision frequency measurements of the separate hyperfine structure (HFS) components of the emission B - X system transitions of {sup 127}I{sub 2} molecules in the 982 - 985 nm range. To resolve the HFS of the emission lines, advantage was taken of the method of three-level laser spectroscopy. The function of exciting radiation was fulfilled by the second harmonic of a cw Nd : YAG laser, and the probe radiation in the 968 - 998 nm range was generated by an external-cavity diode laser. The output Nd : YAG laser frequency was locked to an HFS component of the absorption transition and the probing laser radiation to the emission transition component. When both frequencies were locked to HFS components with a common upper level, the output diode laser frequency was precisely equal to the emission transition frequency. The output frequency of the thus stabilised diode laser was measured with the help of a femtosecond optical frequency synthesiser based on a Ti : sapphire laser. We present the results of the absolute frequency measurements of 20 HFS components belonging to six vibrational - rotational transitions of the B - X system of iodine [R56(32 - 48)a1, P58(32 - 48)a1, P85(33 - 48)a1, R87(33 - 48a1, R88(33 - 48)a10] and all 15 components of the R86(33 - 48) line. The relative measurement uncertainty is equal to 7 Multiplication-Sign 10{sup -10} and is determined by the frequency instability of the diode laser radiation.
Shankman, C; Gladman, B J; Kaib, N; Petit, J -M; Bannister, M T; Chen, Y -T; Gwyn, S; Jakubik, M; Volk, K
2015-01-01
We measure the absolute magnitude, $H$, distribution, $dN(H) \\propto 10^{\\alpha H}$ of the scattering Trans-Neptunian Objects (TNOs) as a proxy for their size-frequency distribution. We show that the H-distribution of the scattering TNOs is not consistent with a single-slope distribution, but must transition around $H_g \\sim 9$ to either a knee with a shallow slope or to a divot, which is a differential drop followed by second exponential distribution. Our analysis is based on a sample of 22 scattering TNOs drawn from three different TNO surveys, the Canada-France Ecliptic Plane Survey (CFEPS, Petit et al. 2011), Alexandersen et al. (2014), and the Outer Solar System Origins Survey (OSSOS, Bannister et al. 2016), all of which provide well characterized detection thresholds, combined with a cosmogonic model for the formation of the scattering TNO population. Our measured absolute magnitude distribution result is independent of the choice of cosmogonic model. Based on our analysis, we estimate that number of sc...
This paper presents, in tabular form, the electronic factors ΩK,π(Z,k) of the electric monopole transition probability associated with the internal conversion of an electron from the atomic K shell (IC;K) and with the internal pair formation(IPF;π). The Ωπ values are calculated by taking the nuclear Coulomb effects into account. The corrections to ΩK due to finite nuclear size and bound-state atomic screening are not included in the present calculations. The calculated ratio of the K-shell-electron conversion probability to the electron-positron pair formation probability is found to be in good agreement with the available experimental data for Z-<40
Transition Probabilities in Yrast Band of 174Os
LI; Cong-bo; WU; Xiao-guang; HE; Chuang-ye; ZHENG; Yun; LI; Guang-sheng; YAO; Shun-he; HU; Shi-peng; LI; Hong-wei; WANG; Jin-long; LIU; Jia-jian; XU; Chuan
2012-01-01
<正>Shape changes that occur from Coriolis and centrifugal forces in the transitional nuclei are significant and have a large impact on the properties of the rotational bands in the band-crossing regions. For example, very recently, in the even-even platinum isotopes 182-186Pt, a steep decline in B(E2) (and, hence, in Qt ) values beyond the 10+ state in yrast band have been observed. It has been attributed to the deformation forces of the alignment of the I13/2 neutrons. The nucleus changes from prolate shape at low
Transition probability functions for applications of inelastic electron scattering.
Löffler, Stefan; Schattschneider, Peter
2012-09-01
In this work, the transition matrix elements for inelastic electron scattering are investigated which are the central quantity for interpreting experiments. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in the Slater-type and the hydrogen-like orbital models. These expressions are shown to be composed of a finite sum of polynomials and elementary trigonometric functions. Hence, they are easy to use, require little computation time, and are significantly more accurate than commonly used approximations. PMID:22560709
Spectra emitted from a wall-stabilized arc, running in a gas mixture of helium, argon, nitrogen, oxygen and traces of hydrogen have been studied. Intensities of selected spectral transitions of neutral nitrogen and oxygen have been measured. Applying the Boltzmann plot method and using a reliable set of O I transition probabilities of spectral lines, originating from levels considerably spread in excitation energies, the temperatures of arc plasmas have been determined. Line intensities of two N I infrared transitions, originating from doubly excited terms 3p' 2Fo and 3p' 2G have been measured. In order to obtain the corresponding transition probabilities (Aki) for these lines, intensities of other N I infrared lines, with well known transition probabilities (taken from recently published data by Wiese and Fuhr [W.L. Wiese and J.R. Fuhr, Improved critical compilations of selected atomic transition probabilities for neutral and singly ionized carbon and nitrogen, J. Phys. Chem. Ref. Data 36 (2007) 1287-1345] from National Institute of Standards and Technology - NIST) have been measured. For evaluation of the transition probabilities the temperatures obtained from the above mentioned O I Boltzmann plots have been used. The results agree satisfactorily with older data found in literature. The new Aki values for transitions involving the doubly excited levels, together with Aki values taken from the above mentioned NIST source (used for determination of the new Aki values), are proposed as a convenient set for determining temperatures of plasmas containing nitrogen atoms.
Quantum Zeno and anti-Zeno effects measured by transition probabilities
Using numerical calculations, we compare the transition probabilities of many spins in random magnetic fields, subject to either frequent projective measurements, frequent phase modulations, or a mix of modulations and measurements. For various distribution functions, we find the transition probability under frequent modulations is suppressed most if the pulse delay is short and the evolution time is larger than a critical value. Furthermore, decay freezing occurs only under frequent modulations as the pulse delay approaches zero. In the large pulse-delay region, however, the transition probabilities under frequent modulations are highest among the three control methods.
Exact transition probabilities in a 6-state Landau–Zener system with path interference
We identify a nontrivial multistate Landau–Zener (LZ) model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. In the semiclassical picture, this model features the possibility of interference of different trajectories that connect the same initial and final states. Hence, transition probabilities are generally not described by the incoherent successive application of the LZ formula. We discuss reasons for integrability of this system and provide numerical tests of the suggested expression for the transition probability matrix. (paper)
Transitions probabilities up to I = 36+ in 160Yb
During the past dozen years or so, numerous groups have worked on the properties of the ytterbium nucleus, and we at Oak Ridge have been actively involved in the study of many of these nuclei. We have concentrated on lifetime measurements of their high-spin states, because it is from the lifetime of a state that one can determine Qt, the transition quadrupole moment. The importance of obtaining a Qt value is that it reflects the intrinsic part of the wave function, and hence provides an indication of the collectivity. This paper presents the results from recent Doppler broadened line shape measurements in 160Yb at very large rotational frequencies of ℎω ∼ 0.36 - 0.50 MeV (I = 22+ - 36+). (author) 16 refs., 3 figs
Are Einstein's transition probabilities for spontaneous emission constant in plasmas?
Griem, H. R.; Huang, Y. W.; Wang, J.-S.; Moreno, J. C.
1991-01-01
An investigation is conducted with a ruby laser to experimentally confirm the quenching of spontaneous emission coefficients and propose a mechanism for the phenomenon. Results of previous experiments are examined to determine the consistency and validity of interpretations of the spontaneous emissions. For the C IV 3s-3p and 2s-3p transitions, the line-intensity ratios are found to be dependent on the separation of the laser from the target. Density gradients and Stark broadening are proposed to interpret the results in a way that does not invalidate the Einstein A values. The interpretation is extended to C III and N V, both of which demonstrate similar changes in A values in previous experiments. The apparent quenching of Ar II by photon collisions is explained by Rabi oscillations and power broadening in the argon-ion laser cavity. It is concluded that the changes in A values cannot result from dense plasma effects.
Rice, S. O.
1982-01-01
L. A. Shepp [1] has studied the distribution of the integral of the absolute value of the pinned Wiener process, and has expressed the moment generating function in terms of a Laplace transform. Here we apply Shepp's results to obtain an integral for the density of the distribution. This integral is then evaluated by numerical integration along a path in the complex plane.
Critically evaluated atomic transition probabilities for Ba I and Ba II
Atomic transition probabilities for allowed and forbidden lines of Ba I and Ba II are tabulated, based on a critical evaluation of recent literature sources. The data are presented in multiplet format and are ordered by increasing excitation energies. (author)
Kneller, James P
2013-01-01
(Abridged) The transition probabilities describing the evolution of a neutrino with a given energy along some ray through a turbulent supernova are random variates unique to each ray. If the source of the neutrinos were a point then all neutrinos of a given energy and emitted at the same time which were detected in some far off location would have seen the same turbulent profile therefore their transition probabilities would be exactly correlated. But if the source has a finite size then the profiles seen by neutrinos emitted from different points at the source will have seen different turbulence and the correlation of the transition probabilities will be reduced. In this paper we study the correlation of the neutrino transition probabilities through turbulent supernova profiles as a function of the separation between the emission points using an isotropic and an anisotropic power spectrum for the random field used to model the turbulence. The spectral features in the high density resonance mixing channel of ...
Exact transition probabilities in a 6-state Landau-Zener system with path interference
Sinitsyn, N. A.
2015-01-01
We identify a nontrivial multistate Landau-Zener model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. In the semiclassical picture, this model features the possibility of interference of different trajectories that connect the same initial and final states. Hence, transition probabilities are generally not described by the incoherent successive application of the Landau-Zener formula. We discuss reasons for integrability of t...
Zhu, Lin; Dai, Zhenxue; Gong, Huili; Gable, Carl; Teatini, Pietro
2015-01-01
Understanding the heterogeneity arising from the complex architecture of sedimentary sequences in alluvial fans is challenging. This paper develops a statistical inverse framework in a multi-zone transition probability approach for characterizing the heterogeneity in alluvial fans. An analytical solution of the transition probability matrix is used to define the statistical relationships among different hydrofacies and their mean lengths, integral scales, and volumetric proportions. A statist...
Interelectronic-interaction effect on the transition probability in high-Z He-like ions
Indelicato, Paul; Shabaev, V. M.; Volotka, A. V.
2004-01-01
The interelectronic-interaction effect on the transition probabilities in high-Z He-like ions is investigated within a systematic quantum electrodynamic approach. The calculation formulas for the interelectronic-interaction corrections of first order in $1/Z$ are derived using the two-time Green function method. These formulas are employed for numerical evaluations of the magnetic transition probabilities in heliumlike ions. The results of the calculations are compared with experimental value...
Exact transition probabilities in the three-state Landau–Zener–Coulomb model
We obtain the exact expression for the matrix of nonadiabatic transition probabilities in the model of three interacting states with a time-dependent Hamiltonian. Unlike other known solvable Landau–Zener-like problems, our solution is generally expressed in terms of hypergeometric functions that have relatively complex behavior, e.g. the obtained transition probabilities may show multiple oscillations as functions of parameters of the model Hamiltonian. (paper)
Hyun-Kyung Chung; Per Jönsson; Alexander Kramida
2013-01-01
Atomic structure and transition probabilities are fundamental physical data required in many fields of science and technology. Atomic physics codes are freely available to other community users to generate atomic data for their interest, but the quality of these data is rarely verified. This special issue addresses estimation of uncertainties in atomic structure and transition probability calculations, and discusses methods and strategies to assess and ensure the quality of theoretical atomic...
Wiese, W.
1991-01-01
The critical data compilation work as well as the bibliographical efforts of two data centers on atomic spectroscopy at the National Institute of Standards and Technology (formerly the National Bureau of Standards) are briefly reviewed. A complete listing of all current compilations on wavelengths, energy levels and transition probabilities is given. A recently completed large tabulation of atomic transition probabilities for the Fe-group elements comprising about 18000 lines is discussed in ...
On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities
Barbara Martinucci; Antonio Di Crescenzo
2009-01-01
We consider a bilateral birth-death process having sigmoidal-type rates. A thorough discussion on its transient behaviour is given, which includes studying symmetry properties of the transition probabilities, finding conditions leading to their bimodality, determining mean and variance of the process, and analyzing absorption problems in the presence of 1 or 2 boundaries. In particular, thanks to the symmetry properties we obtain the avoiding transition probabilities in the presence of a pair...
Exact transition probabilities in the three-state Landau-Zener-Coulomb model
Lin, Jeffmin; Sinitsyn, N. A.
2013-01-01
We obtain the exact expression for the matrix of nonadiabatic transition probabilities in the model of three interacting states with a time-dependent Hamiltonian. Unlike other known solvable Landau-Zener-like problems, our solution is generally expressed in terms of hypergeometric functions that have relatively complex behavior, e.g. the obtained transition probabilities may show multiple oscillations as functions of parameters of the model Hamiltonian.
Shunyi Zhao; Zhiguo Wang; Fei Liu
2013-01-01
State estimation problem is addressed for a class of nonlinear discrete-time systems with Markov parameters and nonhomogeneous transition probabilities (TPs). In this paper, the optimal estimation mechanism of transition probability matrix is proposed in the minimum mean square error sense to show some critical points. Based on this mechanism, the extended Kalman filters are employed as the subfilters to obtain the subestimates with corresponding models. A novel operator which fuses the prior...
Can The Markov Switching Model with Time Varying Transition Probabilities Forecast Exchange Rates?
Bong-Han Kim; Joong-Haeng Lee
2001-01-01
We use Lee's (1991) Markov switching model with time varying transition probabilities (the TVTP Markov model) to analyze the behavior of the U.S. dollar/ British Pound exchange rate. We employ the magnitude of the deviation of the exchange rate from a monetary equilibrium value as the economic fundamental with which the transition probabilities vary. The empirical results we obtained from this paper are the following: first, the deviation of the exchange rate from a monetary equilibrium value...
The Cover Time of Deterministic Random Walks for General Transition Probabilities
Shiraga, Takeharu
2016-01-01
The deterministic random walk is a deterministic process analogous to a random walk. While there are some results on the cover time of the rotor-router model, which is a deterministic random walk corresponding to a simple random walk, nothing is known about the cover time of deterministic random walks emulating general transition probabilities. This paper is concerned with the SRT-router model with multiple tokens, which is a deterministic process coping with general transition probabilities ...
Kneller, James P.; Mauney, Alex W.
2013-01-01
(Abridged) The transition probabilities describing the evolution of a neutrino with a given energy along some ray through a turbulent supernova are random variates unique to each ray. If the source of the neutrinos were a point then all neutrinos of a given energy and emitted at the same time which were detected in some far off location would have seen the same turbulent profile therefore their transition probabilities would be exactly correlated. But if the source has a finite size then the ...
Dirac-Fock energy levels and transition probabilities for oxygen-like Fe
Multiconfigurational Dirac-Fock calculations are reported for 656 energy levels and the 214840 electric dipole (E1), electric quadrupole (E2) and magnetic dipole (M1) transition probabilities in oxygen-like Fe XIX. The spectroscopic notations as well as the total transition probabilities from each energy level are provided. Good agreement is found with data compiled by the national institute for standards and technology (NIST). (authors)
The atomic structure of the low-energy configurations of the zinc-like ions (Rb VIII to W XLV) has been analyzed in detail. A Multiconfiguration Dirac-Fock (MCDF) technique has been used for investigating the level crossings and compositions in the n = 4 configurations. Transition probabilities have been calculated in both the Coulomb and the Babushkin gauges for all the transitions involving the 34 lowest energy levels. Level energies, wavelengths, transition probabilities, and oscillator strengths are tabulated for Ag XVIII to W XLV
The Effects of a High-Probability Request Sequencing Technique in Enhancing Transition Behaviors
Banda, Devender R.; Kubina, Richard M., Jr.
2006-01-01
In this study, an autism support teacher used a high-probability request sequencing technique to help a middle-school student with autism engage in three transition behaviors. High probability request sequencing refers to a procedure in which 2 to 3 preferred questions, highly associated with compliance, are rapidly given before presenting a low…
Radiative transition probabilities and recombination coefficients of the ion C IV.
Leibowitz, E. M.
1972-01-01
Bound-bound and bound-free radiative transition probabilities, as well as radiative recombination coefficients of the ion C IV, are computed with a semi-empirical polarization potential method. The nonhydrogenic probabilities and coefficients are given for all bound states of the ion up to the principal quantum number n = 7.
A note on the existence of transition probability densities for L\\'evy processes
Knopova, V.; Schilling, R.L.
2010-01-01
We prove several necessary and sufficient conditions for the existence of (smooth) transition probability densities for L\\'evy processes and isotropic L\\'evy processes. Under some mild conditions on the characteristic exponent we calculate the asymptotic behaviour of the transition density as $t\\to 0$ and $t\\to\\infty$ and show a ratio-limit theorem.
Mjelde, James W.; Harris, Wesley D.; Conner, J. Richard; Schnitkey, Gary D.; Glover, Michael K.; Garoian, Lee
1992-01-01
Concepts associated with stochastic process containing multiple transition matricies are discussed. It is proved that under certain conditions, a process with m transition matrices has m unique limiting probability vectors. This result extends the notion of discrete Markov processes to problems with intrayear and interyear dynamics. An example using a large DP model illustrates the usefulness of the concepts developed to applied problems.
L2-L3 Coster-Kronig transition probability for Z = 54
The total Coster-Kronig transition probability f/sub 23/ for the L2-L3 atomic transition was measured utilizing resolved L-K x-ray coincidence techniques for Z = 54 with radioactive sources of 9.69 day /sup 131/Cs. The value of f/sub 23/ is 0.148 +- 0.029
Atomic data from the Iron Project.XLIII. Transition probabilities for Fe V
Nahar, Sultana N.; Delahaye, Franck; Pradhan, Anil K.; Zeippen, C. J.
2000-01-01
An extensive set of dipole-allowed, intercombination, and forbidden transition probabilities for Fe V is presented. The Breit-Pauli R-matrix (BPRM) method is used to calculate 1.46 x 10^6 oscillator strengths for the allowed and intercombination E1 transitions among 3,865 fine-structure levels dominated by configuration complexes with n
New measurements of spontaneous transition probabilities for beryllium-like ions
The authors describe measurements of spectral line intensities for pairs of transitions having common upper levels and thus derive the branching ratios of their spontaneous radiative transition probabilities. These are then combined with the results of measurements of the radiative lifetimes of the upper levels by other authors to obtain values of the individual transition probabilities. The results are for transitions in NIV, OV and NeVII and are given with a claimed accuracy of between 7% and 38%. These are compared with values calculated theoretically. For some of the simpler electric dipole transitions good agreement is found. On the other hand for some of the other transitions which in certain cases are only possible because of configuration interaction disparities between the present measurements and theory are as large as x5. (author)
Relativistic E1 transition probabilities and lifetimes along Yb+ isoelectronic sequence
Electric dipole transition probabilities and lifetimes had been computed for low-lying transitions in some members of Yb+ isoelectronic sequence with the relativistic Dirac–Fock method. The core–valence electron correlation was accounted for within the single-configuration approximation through semiclassical core-polarization picture employing both theoretical and adjusted values of static core polarizability. The advantage of using the adjustable static core polarizability in the case of transitions involving perturbed states is discussed. (paper)
Transition probabilities of normal states determine the Jordan structure of a quantum system
Leung, Chi-Wai; Ng, Chi-Keung; Wong, Ngai-Ching
2015-01-01
Let $\\Phi:\\mathfrak{S}(M_1)\\to \\mathfrak{S}(M_2)$ be a bijection (not assumed affine nor continuous) between the sets of normal states of two quantum systems, modelled on the self-adjoint parts of von Neumann algebras $M_1$ and $M_2$, respectively. This paper concerns with the situation when $\\Phi$ preserves (or partially preserves) one of the following three notions of "transition probability" on the normal state spaces: the Uhlmann transition probability $P_U$, the Raggio transition probabi...
Calculation of rotational transition probabilities in molecular collisions - Application to N2 + N2
Itikawa, Y.
1975-01-01
A computational method is proposed to obtain rotational transition probabilities in collisions between two diatomic molecules. The potential method of Rabitz and an exponential approximation are used to solve the semiclassical coupled equations without invoking any perturbational technique. The collision trajectory is determined in the classical modified-wave-number approximation. The method can treat systems involving strong interactions and provide probabilities for transitions even with a multiquantum jump. A simultaneous transition in the rotational states of both molecules, i.e., the rotational-rotational energy transfer, is taken into account. An application to the system N2 + N2 is presented.
Stallcop, J. R.
1971-01-01
Collision-induced vibration-rotation transition probabilities are calculated from a semiclassical three-dimensional model, in which the collision trajectory is determined by the classical motion in the interaction potential that is averaged over the molecular rotational state, and compared with those for which the motion is governed by a spherically averaged potential. For molecules that are in highly excited rotational states, thus dominating the vibrational relaxation rate at high temperature, it is found that the transition probability for rotational state averaging is smaller than that for spherical averaging. For typical collisions, the transition cross section is decreased by a factor of about 1.5 to 2.
Efficient Geometric Probabilities of Multi-Transiting Exoplanetary Systems from CORBITS
Brakensiek, Joshua; Ragozzine, Darin
2016-04-01
NASA’s Kepler Space Telescope has successfully discovered thousands of exoplanet candidates using the transit method, including hundreds of stars with multiple transiting planets. In order to estimate the frequency of these valuable systems, it is essential to account for the unique geometric probabilities of detecting multiple transiting extrasolar planets around the same parent star. In order to improve on previous studies that used numerical methods, we have constructed an efficient, semi-analytical algorithm called the Computed Occurrence of Revolving Bodies for the Investigation of Transiting Systems (CORBITS), which, given a collection of conjectured exoplanets orbiting a star, computes the probability that any particular group of exoplanets can be observed to transit. The algorithm applies theorems of elementary differential geometry to compute the areas bounded by circular curves on the surface of a sphere. The implemented algorithm is more accurate and orders of magnitude faster than previous algorithms, based on comparisons with Monte Carlo simulations. We use CORBITS to show that the present solar system would only show a maximum of three transiting planets, but that this varies over time due to dynamical evolution. We also used CORBITS to geometrically debias the period ratio and mutual Hill sphere distributions of Kepler's multi-transiting planet candidates, which results in shifting these distributions toward slightly larger values. In an Appendix, we present additional semi-analytical methods for determining the frequency of exoplanet mutual events, i.e., the geometric probability that two planets will transit each other (planet–planet occultation, relevant to transiting circumbinary planets) and the probability that this transit occurs simultaneously as they transit their star. The CORBITS algorithms and several worked examples are publicly available.
Reliability analysis of redundant systems. [a method to compute transition probabilities
Yeh, H. Y.
1974-01-01
A method is proposed to compute the transition probability (the probability of partial or total failure) of parallel redundant system. The effect of geometry of the system, the direction of load, and the degree of redundancy on the probability of complete survival of parachute-like system are also studied. The results show that the probability of complete survival of three-member parachute-like system is very sensitive to the variation of horizontal angle of the load. However, it becomes very insignificant as the degree of redundancy increases.
Measurements of transition probabilities in the range from vacuum ultraviolet to infrared
In this memory we describe the design, testing and calibration of different spectrometers to measure transition probabilities from the vacuum ultraviolet to the infrared spectral region. For the infrared measurements we have designed and performed a phase sensitive detection system, using an InGaAs photodiode like detector. With this system we have determined the transition probabilities of infrared lines of KrI and XeI. For these lines we haven't found previous measurements. In the vacuum ultraviolet spectral region we have designed a 3 m normal incidence monochromator where we have installed an optical multichannel analyzer. We have tested its accurate working, obtaining the absorption spectrum of KrI. In the visible region we have obtained the emission spectrum of Al using different spectral: hallow-cathode lamp and Nd: YAG laser produced Al plasma. With these spectra we have determined different atomic parameters like transition probabilities and electron temperatures.(author). 83 refs
Zhu, Lin; Gong, Huili; Gable, Carl; Teatini, Pietro
2015-01-01
Understanding the heterogeneity arising from the complex architecture of sedimentary sequences in alluvial fans is challenging. This paper develops a statistical inverse framework in a multi-zone transition probability approach for characterizing the heterogeneity in alluvial fans. An analytical solution of the transition probability matrix is used to define the statistical relationships among different hydrofacies and their mean lengths, integral scales, and volumetric proportions. A statistical inversion is conducted to identify the multi-zone transition probability models and estimate the optimal statistical parameters using the modified Gauss-Newton-Levenberg-Marquardt method. The Jacobian matrix is computed by the sensitivity equation method, which results in an accurate inverse solution with quantification of parameter uncertainty. We use the Chaobai River alluvial fan in the Beijing Plain, China, as an example for elucidating the methodology of alluvial fan characterization. The alluvial fan is divided...
Transition probability, dynamic regimes, and the critical point of financial crisis
Tang, Yinan; Chen, Ping
2015-07-01
An empirical and theoretical analysis of financial crises is conducted based on statistical mechanics in non-equilibrium physics. The transition probability provides a new tool for diagnosing a changing market. Both calm and turbulent markets can be described by the birth-death process for price movements driven by identical agents. The transition probability in a time window can be estimated from stock market indexes. Positive and negative feedback trading behaviors can be revealed by the upper and lower curves in transition probability. Three dynamic regimes are discovered from two time periods including linear, quasi-linear, and nonlinear patterns. There is a clear link between liberalization policy and market nonlinearity. Numerical estimation of a market turning point is close to the historical event of the US 2008 financial crisis.
Tables of stark level transition probabilities and branching ratios in hydrogen-like atoms
Omidvar, K.
1980-01-01
The transition probabilities which are given in terms of n prime k prime and n k are tabulated. No additional summing or averaging is necessary. The electric quantum number k plays the role of the angular momentum quantum number l in the presence of an electric field. The branching ratios between stark levels are also tabulated. Necessary formulas for the transition probabilities and branching ratios are given. Symmetries are discussed and selection rules are given. Some disagreements for some branching ratios are found between the present calculation and the measurement of Mark and Wierl. The transition probability multiplied by the statistical weight of the initial state is called the static intensity J sub S, while the branching ratios are called the dynamic intensity J sub D.
HORI, MASAKI; Korobov, Vladimir I.
2010-01-01
Numerical ab initio variational calculations of the transition probabilities and ac Stark shifts in two-photon transitions of antiprotonic helium atoms driven by two counter-propagating laser beams are presented. We found that sub-Doppler spectroscopy is in principle possible by exciting transitions of the type (n,L)->(n-2,L-2) between antiprotonic states of principal and angular momentum quantum numbers n~L-1~35, first by using highly monochromatic, nanosecond laser beams of intensities 10^4...
A Semi-Continuous State-Transition Probability HMM-Based Voice Activity Detector
Othman H
2007-01-01
Full Text Available We introduce an efficient hidden Markov model-based voice activity detection (VAD algorithm with time-variant state-transition probabilities in the underlying Markov chain. The transition probabilities vary in an exponential charge/discharge scheme and are softly merged with state conditional likelihood into a final VAD decision. Working in the domain of ITU-T G.729 parameters, with no additional cost for feature extraction, the proposed algorithm significantly outperforms G.729 Annex B VAD while providing a balanced tradeoff between clipping and false detection errors. The performance compares very favorably with the adaptive multirate VAD, option 2 (AMR2.
The Transition Probability of the $q$-TAZRP ($q$-Bosons) with Inhomogeneous Jump Rates
Wang, Dong; Waugh, David
2015-01-01
In this paper we consider the $q$-deformed totally asymmetric zero range process ($q$-TAZRP), also known as the $q$-boson (stochastic) particle system, on the ${\\mathbb Z}$ lattice, such that the jump rate of a particle depends on the site where it is on the lattice. We derive the transition probability for an $n$ particle process in Bethe ansatz form as a sum of $n!$ $n$-fold contour integrals. Our result generalizes the transition probability formula by Korhonen and Lee for $q$-TAZRP with a...
Relativistic M-subshell radiationless transition probabilities and energies for Zn, Cd and Hg
Theoretical calculations of radiationless transition probabilities and energies for M-subshell vacancies in Zn, Cd, and Hg are tabulated using the Dirac–Fock method. Transition probabilities between an initial vacancy state and a final two-vacancies state are presented for each initial and final atomic angular momentum quantum number. Calculations were performed in the single configuration approach with the Breit interaction, self-energy and (Uehling) vacuum polarization corrections included in the self-consistent method. Higher-order retardation corrections and QED effects were also included as perturbations
Deiwert, G. S.; Yoshikawa, K. K.
1975-01-01
A semiclassical model proposed by Pearson and Hansen (1974) for computing collision-induced transition probabilities in diatomic molecules is tested by the direct-simulation Monte Carlo method. Specifically, this model is described by point centers of repulsion for collision dynamics, and the resulting classical trajectories are used in conjunction with the Schroedinger equation for a rigid-rotator harmonic oscillator to compute the rotational energy transition probabilities necessary to evaluate the rotation-translation exchange phenomena. It is assumed that a single, average energy spacing exists between the initial state and possible final states for a given collision.
Energy levels and transition probabilities in doubly-ionized erbium (Er III)
The spectrum of Er III reported by Becher (1966) was reanalysed with the support of new predictions of energies and transition probabilities. The number of energy levels was increased from 45 to 115, including two levels of 4f117s and the levels 3F3, 3F2 and 1G4 of the ground configuration 4f12. All 470 classified lines are reported with transition probabilities for most of them. Several of these lines had not yet been attributed to Er III in the spectrum of the star HR465. (orig.)
Extended analysis of the spectrum of triply-ionized ytterbium (Yb IV) and transition probabilities
The spectrum of Yb IV has been reinvestigated and its analysis has been extended. The present work is supported by the comparison of line intensities with transition probabilities derived from the Cowan (1981) codes. Starting from the first analysis by Sugar, Kaufman and Spector (1978), the number of established levels has been increased from 111 to 193, including high excitation levels of the new 4f127s+4f126d even configurations. Of the 1023 classified lines about one half are new. Computed transition probabilities are given for selected lines. (orig.)
On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities
Barbara Martinucci
2009-11-01
Full Text Available We consider a bilateral birth-death process having sigmoidal-type rates. A thorough discussion on its transient behaviour is given, which includes studying symmetry properties of the transition probabilities, finding conditions leading to their bimodality, determining mean and variance of the process, and analyzing absorption problems in the presence of 1 or 2 boundaries. In particular, thanks to the symmetry properties we obtain the avoiding transition probabilities in the presence of a pair of absorbing boundaries, expressed as a series.
A Semi-Continuous State-Transition Probability HMM-Based Voice Activity Detector
H. Othman
2007-02-01
Full Text Available We introduce an efficient hidden Markov model-based voice activity detection (VAD algorithm with time-variant state-transition probabilities in the underlying Markov chain. The transition probabilities vary in an exponential charge/discharge scheme and are softly merged with state conditional likelihood into a final VAD decision. Working in the domain of ITU-T G.729 parameters, with no additional cost for feature extraction, the proposed algorithm significantly outperforms G.729 Annex B VAD while providing a balanced tradeoff between clipping and false detection errors. The performance compares very favorably with the adaptive multirate VAD, option 2 (AMR2.
Corrections to vibrational transition probabilities calculated from a three-dimensional model.
Stallcop, J. R.
1972-01-01
Corrections to the collision-induced vibration transition probability calculated by Hansen and Pearson from a three-dimensional semiclassical model are examined. These corrections come from the retention of higher order terms in the expansion of the interaction potential and the use of the actual value of the deflection angle in the calculation of the transition probability. It is found that the contribution to the transition cross section from previously neglected potential terms can be significant for short range potentials and for the large relative collision velocities encountered at high temperatures. The correction to the transition cross section obtained from the use of actual deflection angles will not be appreciable unless the change in the rotational quantum number is large.
Efficient Geometric Probabilities of Multi-Transiting Exoplanetary Systems from CORBITS
Brakensiek, Joshua
2016-01-01
NASA's Kepler Space Telescope has successfully discovered thousands of exoplanet candidates using the transit method, including hundreds of stars with multiple transiting planets. In order to estimate the frequency of these valuable systems, it is essential to account for the unique geometric probabilities of detecting multiple transiting extrasolar planets around the same parent star. In order to improve on previous studies that used numerical methods, we have constructed an efficient, semi-analytical algorithm called CORBITS which, given a collection of conjectured exoplanets orbiting a star, computes the probability that any particular group of exoplanets can be observed to transit. The algorithm applies theorems of elementary differential geometry to compute the areas bounded by circular curves on the surface of a sphere (see Ragozzine & Holman 2010). The implemented algorithm is more accurate and orders of magnitude faster than previous algorithms, based on comparisons with Monte Carlo simulations. W...
On neutron number dependence of B(E1;0+ --> 1-) reduced transition probability
Jolos, R. V.; Shirikova, N. Yu.; Voronov, V. V.
2006-01-01
A neutron number dependence of the E1 0+ --> 1- reduced transition probability in spherical even--even nuclei is analysed within the Q--phonon approach in the fermionic space to describe the structure of collective states. Microscopic calculations of the E1 0+ --> 1- transition matrix elements are carried out for the Xe isotopes based on the RPA for the ground state wave function. A satisfactory description of the experimental data is obtained.
Collision strengths and transition probabilities for Co II infrared forbidden lines
Storey, P. J.; Zeippen, C.J.; Sochi, Taha
2015-01-01
We calculate collision strengths and their thermally-averaged Maxwellian values for electron excitation and de-excitation between the fifteen lowest levels of singly-ionised cobalt, Co+, which give rise to emission lines in the near- and mid-infrared. Transition probabilities are also calculated and relative line intensities predicted for conditions typical of supernova ejecta. The diagnostic potential of the 10.52, 15.46 and 14.74 micro-metre transition lines is briefly discussed.
The Calculations of Oscillator Strengths and Transition Probabilities for Atomic Fluorine
ÇELİK, Gültekin; KILIÇ, H. Şükür; Akin, Erhan
2006-01-01
Oscillator strengths for transitions between individual lines belonging to some doublet and quartet terms, and multiplet transition probabilities of atomic fluorine have been calculated using weakest bound electron potential model theory (WBEPMT). In the determination of relevant parameters, we employed numerical non-relativistic Hartree-Fock (NRHF) wave functions for expectation values of radii and the necessary energy values have been taken from experimental energy data in the liter...
Transition probabilities and Franck-Condon factors for the second negative band system of O2(+)
Fox, J. L.; Dalgarno, A.
1990-01-01
Transition probabilities for the second negative band system of O2(+) are computed using the dipole transition moment presented by Wetmore et al. (1984). Vibrational levels v double prime = 0 - 54 of the X2Pi(g) ground state and v prime = - 33 of the excited A2Pi(u) state are included. Franck-Condon factors for ionization-excitation of O2 to O2(+) are also presented.
Collision strengths and transition probabilities for Co II infrared forbidden lines
Storey, P J; Sochi, Taha
2016-01-01
We calculate collision strengths and their thermally-averaged Maxwellian values for electron excitation and de-excitation between the fifteen lowest levels of singly-ionised cobalt, Co+, which give rise to emission lines in the near- and mid-infrared. Transition probabilities are also calculated and relative line intensities predicted for conditions typical of supernova ejecta. The diagnostic potential of the 10.52, 15.46 and 14.74 micro-metre transition lines is briefly discussed.
Usually it is accepted that the probabilities of the electric-multipole electron transitions are rapidly decreasing functions of their multipolarity. Therefore while calculating the probabilities of electronic transitions between the configurations of certain chosen parities, it seems sufficient to take into account the first nonzero term, i.e., to consider the electron transitions of lowest multipolarity permitted by the exact selection rules. This paper aims at verifying this assumption on the example of electric-octupole transitions in W24+ ion. For this purpose the large-scale multiconfiguration Hartree-Fock and Dirac-Fock calculations have been performed for the configurations [Kr]4d104f4 and [Kr]4d104f35s energy levels of W24+ ion. The relativistic corrections were taken into account in the quasirelativistic Breit-Pauli and fully relativistic Breit (taking into account QED effects) approximations. The role of correlation, relativistic, and QED corrections is discussed. Line strengths, oscillator strengths, and transition probabilities in Coulomb and Babushkin gauges are presented for E1 and E3 transitions among these levels.
Experimental transition probability for the E1 intercombination transition in Be-like Xe50+
The 2s21So - 2s2p 3P01 intercombination transition in Be-like Xe50+ has been observed and the intensity decay with time has been measured using a foil-excited fast ion beam. The transition wavelength value is found to be λ = (9.81±0.05) nm and the upper level lifetime to be τ (0.47±0.05) ns. Both values agree with recent theoretical predictions. (orig.)
Compound kernel estimates for the transition probability density of a L\\'evy process in $\\rn$
Knopova, V.
2013-01-01
We construct in the small-time setting the upper and lower estimates for the transition probability density of a L\\'evy process in $\\rn$. Our approach relies on the complex analysis technique and the asymptotic analysis of the inverse Fourier transform of the characteristic function of the respective process.
Average Consensus Analysis of Distributed Inference with Uncertain Markovian Transition Probability
Won Il Kim; Rong Xiong; Qiuguo Zhu; Jun Wu
2013-01-01
The average consensus problem of distributed inference in a wireless sensor network under Markovian communication topology of uncertain transition probability is studied. A sufficient condition for average consensus of linear distributed inference algorithm is presented. Based on linear matrix inequalities and numerical optimization, a design method of fast distributed inference is provided.
Stallcop, J. R.
1974-01-01
Semiclassical collisions of an atom with a rigid-rotor molecule are examined in the sudden approximation. The rotational transition probability is shown to be invariant with respect to the choice of orientation for the molecular coordinate system; this fact contradicts recently reported results of a computer analysis. The present analysis may lead to an improved interpretation of recent molecular beam measurements.
Experimental branching fractions, transition probabilities and oscillator strengths in Eu I
Branching fractions (BFs) of 64 spectral lines for 27 levels in Eu I were measured by the emission spectrum of a hollow cathode lamp (HCL). The transition probabilities and oscillator strengths of these lines were determined by using the time-resolved laser-induced fluorescence technique to combine the BFs with experimental radiative lifetimes of the relative levels reported in the literature. (paper)
Electromagnetic transition probabilities in the doubly odd N = 91 nucleus 154Eu
The subnanosecond half-lives or upper half-life limits of several states in 154Eu excited in the (n,γ) reaction have been determined. From these data reduced transition probabilities B(λ) reaction have been derived. (M.F.W.)
The energy levels and reduced probabilities of electric dipole, quadrupole and octupole transitions measured in the Coulomb excitation of 226Ra are analyzed in the framework of the soft axial-symmetric rotator model with quadrupole and octupole deformations. The calculated values are in good agreement with experimental data. (author). 11 refs., 2 figs
K X-ray relative transition probabilities for 23 <= Z <= 33
Chen Xi Meng; Liu Zhao Yuan; Ma Shu Xun; Zhang Hua Lin; Cai Xiao
2003-01-01
The K X-ray relative transition probabilities K beta/K alpha of some elements for atomic numbers 23 <= Z <= 33 induced by 3 MeV protons were measured. The experimental results are compared with the relativistic Hartree-Fock (RHF) calculations. Good agreements have been obtained considering the experimental error.
Rasanen, Okko
2011-01-01
Word segmentation from continuous speech is a difficult task that is faced by human infants when they start to learn their native language. Several studies indicate that infants might use several different cues to solve this problem, including intonation, linguistic stress, and transitional probabilities between subsequent speech sounds. In this…
QED theory of transition probabilities and line profiles in highly-charged ions
Labzowsky, L. N.; Prosorov, A.; Shonin, A. V.; Bednyakov, I.; Plunien, G.; Soff, G.
2002-01-01
A rigorous QED theory of the spectral line profiles is applied to transition probabilities in few-electron highly charged ions. Interelectron interaction corrections are included as well as radiative corrections. Parity nonconserving (PNC) amplitudes with effective weak interactions between the electrons and nucleus are also considered. QED and interelectron interaction corrections to the PNC amplitudes are derived.
E1, M1, E2 transition energies and probabilities of W$^{54+}$ ions
Ding, Xiao-bin; Liu, Jia-xin; Koike, Fumihiro; Murakami, Izumi; Kato, Daiji; Sakaue, Hiroyuki A; Nakamura, Nobuyuki; Dong, Chen-zhong
2016-01-01
A comprehensive theoretical study of the E1, M1, E2 transitions of Ca-like tungsten ions is presented. Using multi-configuration Dirac-Fock (MCDF) method with a restricted active space treatment, the wavelengths and probabilities of the M1 and E2 transitions between the multiplets of the ground state configuration ([Ne]3s$^{2}$3p$^{6}$3d$^{2}$) and of the E1 transitions between [Ne]3s$^{2}$3p$^{5}$3d$^{3}$ and [Ne]3s$^{2}$3p$^{6}$3d$^{2}$ have been calculated. The results are in reasonable agreement with available experimental data. The present E1 and M1 calculations are compared with previous theoretical values. For E2 transitions, the importance of electron correlation from 3s and 3p orbitals is pointed out. Several strong E1 transitions are predicted, which have potential advantage for plasma diagnostics.
Vacuum-to-vacuum transition probability and the classic radiation theory
Using the fact that the vacuum-to-vacuum transition probability for the interaction of the Maxwell field Aμ(x) with a given current Jμ(x) represents the probability of no photons emitted by the current of a Poisson distribution, the average number of photons emitted of given energies for the underlying distribution is readily derived. From this the classical power of radiation of Schwinger of a relativistic charged particle follows. - Highlights: • Quantum viewpoint of radiation theory based on the vacuum-to-transition probabilities. • Mathematical method in handling radiation for extended and point sources. • Radiated energy and power for arbitrary source distribution obtained from the above. • Explicit power of radiation for point relativistic sources from the general theory
Reduced transition probabilities for 4He radiative capture reactions at astrophysical energies
The reduced transition probabilities from an electric quadrupole B(E2) and reduced transition probabilities from a magnetic dipole B(M1) between the ground state and the first excited state have been calculated for the 3He(α,γ)7Be, 8Be(α,γ)12C and 12C(α,γ)16O radiative capture reactions with the M3Y potential. These reactions are important in stellar evolution. The calculated B(M1) and B(E2) for 7Be nuclei are found to be 1.082 × 10−3 e2 fm2 and 1.921 e2 fm4 from transitions 3/2− to 1/2−, respectively. The obtained values for reduced transition probabilities B(E2) for the 12C and 16O nuclei from transitions 0+ to 2+ are 12.54 e2 fm4 and 14.18 e2 fm4, respectively. The results are in satisfactory agreement with available experimental data
Multistate modeling of habitat dynamics: Factors affecting Florida scrub transition probabilities
Breininger, D.R.; Nichols, J.D.; Duncan, B.W.; Stolen, Eric D.; Carter, G.M.; Hunt, D.K.; Drese, J.H.
2010-01-01
Many ecosystems are influenced by disturbances that create specific successional states and habitat structures that species need to persist. Estimating transition probabilities between habitat states and modeling the factors that influence such transitions have many applications for investigating and managing disturbance-prone ecosystems. We identify the correspondence between multistate capture-recapture models and Markov models of habitat dynamics. We exploit this correspondence by fitting and comparing competing models of different ecological covariates affecting habitat transition probabilities in Florida scrub and flatwoods, a habitat important to many unique plants and animals. We subdivided a large scrub and flatwoods ecosystem along central Florida's Atlantic coast into 10-ha grid cells, which approximated average territory size of the threatened Florida Scrub-Jay (Aphelocoma coerulescens), a management indicator species. We used 1.0-m resolution aerial imagery for 1994, 1999, and 2004 to classify grid cells into four habitat quality states that were directly related to Florida Scrub-Jay source-sink dynamics and management decision making. Results showed that static site features related to fire propagation (vegetation type, edges) and temporally varying disturbances (fires, mechanical cutting) best explained transition probabilities. Results indicated that much of the scrub and flatwoods ecosystem was resistant to moving from a degraded state to a desired state without mechanical cutting, an expensive restoration tool. We used habitat models parameterized with the estimated transition probabilities to investigate the consequences of alternative management scenarios on future habitat dynamics. We recommend this multistate modeling approach as being broadly applicable for studying ecosystem, land cover, or habitat dynamics. The approach provides maximum-likelihood estimates of transition parameters, including precision measures, and can be used to assess
Numerical ab initio variational calculations of the transition probabilities and ac Stark shifts in two-photon transitions of antiprotonic helium atoms driven by two counter-propagating laser beams are presented. We found that sub-Doppler spectroscopy is, in principle, possible by exciting transitions of the type (n,L)→(n-2,L-2) between antiprotonic states of principal and angular momentum quantum numbers n∼L-1∼35, first by using highly monochromatic, nanosecond laser beams of intensities 104-105 W/cm2, and then by tuning the virtual intermediate state close (e.g., within 10-20 GHz) to the real state (n-1,L-1) to enhance the nonlinear transition probability. We expect that ac Stark shifts of a few MHz or more will become an important source of systematic error at fractional precisions of better than a few parts in 109. These shifts can, in principle, be minimized and even canceled by selecting an optimum combination of laser intensities and frequencies. We simulated the resonance profiles of some two-photon transitions in the regions n=30-40 of the p4He+ and p3He+ isotopes to find the best conditions that would allow this.
Dan Ye; Quan-Yong Fan; Xin-Gang Zhao; Guang-Hong Yang
2013-01-01
This paper is concerned with delay-dependent stochastic stability for time-delay Markovian jump systems (MJSs) with sector-bounded nonlinearities and more general transition probabilities. Different from the previous results where the transition probability matrix is completely known, a more general transition probability matrix is considered which includes completely known elements, boundary known elements, and completely unknown ones. In order to get less conservative criterion, the state a...
Nichols, J.D.; Sauer, J.R.; Pollock, K.H.; Hestbeck, J.B.
1992-01-01
In stage-based demography, animals are often categorized into size (or mass) classes, and size-based probabilities of surviving and changing mass classes must be estimated before demographic analyses can be conducted. In this paper, we develop two procedures for the estimation of mass transition probabilities from capture-recapture data. The first approach uses a multistate capture-recapture model that is parameterized directly with the transition probabilities of interest. Maximum likelihood estimates are then obtained numerically using program SURVIV. The second approach involves a modification of Pollock's robust design. Estimation proceeds by conditioning on animals caught in a particualr class at time i, and then using closed models to estimate the number of these that are alive in other classes at i + 1. Both methods are illustrated by application to meadow vole, Microtus pennsylvanicus, capture-recapture data. The two methods produced reasonable estimates that were similar. Advantages of these two approaches include the directness of estimation, the absence of need for restrictive assumptions about the independence of survival and growth, the testability of assumptions, and the testability of related hypotheses of ecological interest (e.g., the hypothesis of temporal variation in transition probabilities).
Probabilities for classically forbidden transitions using classical and classical path methods
Limits are established for the applicability of purely classical methods for calculating nonreactive, inelastic transition probabilities in collinear collisions of a structureless atom and a harmonic oscillator. These limits, obtained by comparison with previous exact quantum mechanical results, indicate that such methods are inappropriate not only for ''classically forbidden'' but for many ''classically allowed'' transitions (in spite of the fact that they are widely used to calculate probabilities for such processes). A classical path method in the context of infinite-order time-dependent perturbation theory is described which yields extremely accurate transition probabilities even for the most classically forbidden transitions in the collinear atom--harmonic oscillator system. The essential features of this method are: (1) the use of the expectation value of the total interaction potential in determining the atom--oscillator (central force) trajectory, and (2) the use of the arithmetic mean of the initial and final velocities of relative motion in the (elastic) central force trajectory. This choice of interaction potential allows the relative motion to be coupled to changes in the internal state of the oscillator. The present classical method is further applied to three-dimensional atom-breathing sphere collisions, and exact quantum mechanical calculations are also carried out. Comparison of the classical path and exact quantum results shows excellent agreement both in the specific inelastic cross section and in the individual partial-wave contributions
Korhonen, Marko; Lee, Eunghyun
2014-01-01
We treat the $N$-particle ZRP whose jumping rates satisfy a certain condition. This condition is required to use the Bethe ansatz and the resulting model is the $q$-boson model that appeared in [J. Phys. A, \\textbf{31} 6057--6071 (1998)] by Sasamoto and Wadati or the $q$-TAZRP in \\textit{MacDonald processes} by Borodin and Corwin. We find the explicit formula of the transition probability of the $q$-TAZRP via the Bethe ansatz. By using the transition probability we find the probability distri...
DNA unzipping via stopped birth and death processes with unknown transition probabilities
Andreoletti, Pierre; Diel, Roland
2011-01-01
In this paper we provide an alternative approach to the works of the physicists S. Cocco and R. Monasson about a model of DNA molecules. The aim is to predict the sequence of bases by mechanical stimulations. The model described by the physicists is a stopped birth and death process with unknown transition probabilities. We consider two models, a discrete in time and a continuous in time, as general as possible. We show that explicit formula can be obtained for the probability to be wrong for...
Energy levels, lifetimes, and transition probabilities for Mn XII and Ge XIX
Energy levels, transition probabilities, oscillator strengths, line strengths, and lifetimes have been calculated for silicon-like manganese and germanium, Mn XII and Ge XIX. The configurations 3s23p2, 3s3p3, 3s23p3d, 3s3p23d, and 3p4 were used in the calculations and 88 fine-structure levels were obtained. The fully relativistic GRASP code has been adopted, and results are reported for all electric dipole, electric quadrupole, magnetic dipole, and magnetic quadrupole transitions among levels of Mn XII and Ge XIX. Comparisons have been made with available theoretical and experimental results
The FERRUM Project: laboratory-measured transition probabilities for Cr II
Gurell, J.; Nilsson, Hampus; Engström, Lars; Lundberg, Hans; Blackwell-Whitehead, Richard; Nielsen, K. E.; Mannervik, S.
2010-01-01
Aims: We measure transition probabilities for Cr II transitions from the z ^4H_J, z ^2D_J, y ^4F_J, and y ^4G_J levels in the energy range 63000 to 68000 cm^{-1}. Methods: Radiative lifetimes were measured using time-resolved laser-induced fluorescence from a laser-produced plasma. In addition, branching fractions were determined from intensity-calibrated spectra recorded with a UV Fourier transform spectrometer. The branching fractions and radiative lifetimes were combined to yield accurate ...
Relativistic transition probabilities and lifetimes of low-lying levels in ytterbium
Multiconfiguration Dirac-Fock calculations of E1, E2, M1 and M2 transition probabilities and lifetimes for the low-lying levels of neutral ytterbium are reported. For E1 transitions the valence-core electron correlations are also included in the core-polarization model. In particular, the lifetimes of the 6s6p 1P1 and 3P1 states, when corrected for core polarization, are found to be 4.78 ns and 1294 ns, respectively. The lifetime of the metastable 6s6p 3P2 state is calculated to be 14.5 s. (author)
Zhang, Haitao; Chen, Zewei; Liu, Zhao; Zhu, Yunhong; Wu, Chenxue
2016-01-01
Spatial-temporal k-anonymity has become a mainstream approach among techniques for protection of users' privacy in location-based services (LBS) applications, and has been applied to several variants such as LBS snapshot queries and continuous queries. Analyzing large-scale spatial-temporal anonymity sets may benefit several LBS applications. In this paper, we propose two location prediction methods based on transition probability matrices constructing from sequential rules for spatial-temporal k-anonymity dataset. First, we define single-step sequential rules mined from sequential spatial-temporal k-anonymity datasets generated from continuous LBS queries for multiple users. We then construct transition probability matrices from mined single-step sequential rules, and normalize the transition probabilities in the transition matrices. Next, we regard a mobility model for an LBS requester as a stationary stochastic process and compute the n-step transition probability matrices by raising the normalized transition probability matrices to the power n. Furthermore, we propose two location prediction methods: rough prediction and accurate prediction. The former achieves the probabilities of arriving at target locations along simple paths those include only current locations, target locations and transition steps. By iteratively combining the probabilities for simple paths with n steps and the probabilities for detailed paths with n-1 steps, the latter method calculates transition probabilities for detailed paths with n steps from current locations to target locations. Finally, we conduct extensive experiments, and correctness and flexibility of our proposed algorithm have been verified. PMID:27508502
Vacuum-to-vacuum transition probability and radiation in a medium
We recast the vacuum-to-vacuum transition probability for the description of radiation in an isotropic medium of permeability μ, and permittivity ε, in a form which brings us in contact with radiation theory in vacuum. Using the inherited property of such a system, with arbitrary current distributions, of emitting photons via the Poisson distribution, the average number of photons emitted in such a medium is directly obtained from which the power of radiation is readily extracted. As an application, the power of radiation, emitted by a charged particle, in a medium trapped between perfectly conducting neutral parallel plates for arbitrary finite separations is explicitly obtained. - Highlights: • Quantum viewpoint of radiation in a medium based on the vacuum-to-vacuum transition probabilities. • Mathematical method in handling radiation in a medium for arbitrary sources. • Radiated energy and power for arbitrary current distributions in a medium. • Explicit power of radiation in a medium in a bounded region
Determination of nuclear reduced transition probabilities by 7Li ion induced Coulomb excitation
Recently the authors observed that the first excited state of 7Li nucleus was excited in 7Li ion-Cu collision in the energy range 4.9 to 11.9 MeV, and the excitation process was via Coulomb excitation. By using the well known B (E2; g.s. 3-/2 - 478 keV, 1-/2) value of 7Li nucleus and the 7Li induced Coulomb excitation yields of both 7Li projectile and targets, the authors determined the reduced transition probabilities for low-lying states of some medium weight nuclei. The reduced transition probabilities determined this way are free from uncertainties due to target thickness and incident particle collection
Measuring the geometric component of the transition probability in a two-level system
We describe the measurement of a component of the nonadiabatic transition probability in a two-level system that depends only on the path through parameter space followed by the Hamiltonian, and not on how fast the path is traversed [M. V. Berry, Proc. R. Soc. London 430, 405 (1990)]. We performed the measurement by sweeping a radio-frequency field through the Zeeman resonance of carbon-13 in a static magnetic field and measuring the transition probability P at the end of each sweep. We found that, for appropriately chosen radio-frequency sweep forms, a factor of P is independent of the duration of the sweep, in accordance with the theory of Berry
Bogaerts, Louisa; Siegelman, Noam; Frost, Ram
2016-08-01
What determines individuals' efficacy in detecting regularities in visual statistical learning? Our theoretical starting point assumes that the variance in performance of statistical learning (SL) can be split into the variance related to efficiency in encoding representations within a modality and the variance related to the relative computational efficiency of detecting the distributional properties of the encoded representations. Using a novel methodology, we dissociated encoding from higher-order learning factors, by independently manipulating exposure duration and transitional probabilities in a stream of visual shapes. Our results show that the encoding of shapes and the retrieving of their transitional probabilities are not independent and additive processes, but interact to jointly determine SL performance. The theoretical implications of these findings for a mechanistic explanation of SL are discussed. PMID:26743060
Xu, Jason; Minin, Vladimir N.
2015-01-01
Branching processes are a class of continuous-time Markov chains (CTMCs) with ubiquitous applications. A general difficulty in statistical inference under partially observed CTMC models arises in computing transition probabilities when the discrete state space is large or uncountable. Classical methods such as matrix exponentiation are infeasible for large or countably infinite state spaces, and sampling-based alternatives are computationally intensive, requiring integration over all possible...
Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians
We discuss systematically several possible inequivalent ways to describe the dynamics and the transition probabilities of a quantum system when its hamiltonian is not self-adjoint. In order to simplify the treatment, we mainly restrict our analysis to finite dimensional Hilbert spaces. In particular, we propose some experiments which could discriminate between the various possibilities considered in the paper. An example taken from the literature is discussed in detail
Non-adiabatic transition probability with a moving $\\delta$ potential coupling
Diwaker; Chakraborty, Aniruddha
2013-01-01
The present work focuses on the calculation of a non-adiabatic transition probability between two states which may or may not cross with each other and are coupled to each other by a moving $\\delta$ function potential. Here, the time dependent Schrodinger equation is converted to time independent one by using a scaling factor which is function of time. This time independent Schrodinger equation is then considered for two potentials coupled by a moving $\\delta$ potential and an expression for ...
Branching fractions of 13 levels in Gd I and 12 levels in Gd II were experimentally determined based on the emission spectrum of a hollow cathode lamp. In addition, transition probabilities and oscillator strengths for 66 lines of Gd I and 74 lines of Gd II were derived from a combination of the radiative lifetimes reported in the earlier literature and the branching fractions obtained in the present paper. (paper)
2013-01-01
This paper focuses on the stability issue of discrete-time networked control systems with random Markovian delays and uncertain transition probabilities, wherein the random time delays exist in the sensor-to-controller and controller-to-actuator. The resulting closed-loop system is modeled as a discrete-time Markovian delays system governed by two Markov chains. Using Lyapunov stability theory, a result is established on the Markovian structure and ensured that the closed-loop system is st...
2014-01-01
This paper investigates the problem of the stability and stabilization of continuous-time Markovian jump singular systems with partial information on transition probabilities. A new stability criterion which is necessary and sufficient is obtained for these systems. Furthermore, sufficient conditions for the state feedback controller design are derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.
Jumei Wei
2014-01-01
Full Text Available This paper investigates the problem of the stability and stabilization of continuous-time Markovian jump singular systems with partial information on transition probabilities. A new stability criterion which is necessary and sufficient is obtained for these systems. Furthermore, sufficient conditions for the state feedback controller design are derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.
Ho, Lam Si Tung; Xu, Jason; Crawford, Forrest W.; Minin, Vladimir N.; Suchard, Marc A.
2016-01-01
Birth-death processes track the size of a univariate population, but many biological systems involve interaction between populations, necessitating models for two or more populations simultaneously. A lack of efficient methods for evaluating finite-time transition probabilities of bivariate processes, however, has restricted statistical inference in these models. Researchers rely on computationally expensive methods such as matrix exponentiation or Monte Carlo approximation, restricting likel...
Per Jönsson; Hyun-Kyung Chung
2013-01-01
There exist several codes in the atomic physics community to generate atomic structure and transition probabilities freely and readily distributed to researchers outside atomic physics community, in plasma, astrophysical or nuclear physics communities. Users take these atomic physics codes to generate the necessary atomic data or modify the codes for their own applications. However, there has been very little effort to validate and verify the data sets generated by non-expert users. [...
The nonadiabatic transition probabilities in the two-level systems are calculated analytically by using the monodromy matrix determining the global feature of the underlying differential equation. We study the time-dependent 2 x 2 Hamiltonian with the tanh-type plus sech-type energy difference and with constant off-diagonal elements as an example to show the efficiency of the monodromy approach. We also discuss the application of this method to multi-level systems
On the Gauge Invariance of the Transition Probability of a Charged Particle in Electromagnetic Field
QIAN Shang-Wu; GU Zhi-Yu
2002-01-01
This paper suggests a principle to find a unitary operator U which transforms non-physical quantity,zero-potential Hamiltonian Ho, into true physical quantity UHoU+ for a charged particle in classical electromagneticfield, and puts forward a unified form of constructing gauge-independent transition probabilities in this case. Differentmethods correspond to different unitary operators which satisfy the above-mentioned principle.
Gültekin Çelik; Şule Ateş
2008-09-01
Transition probabilities for some excited s–p and p–s transition arrays of neutral nitrogen have been calculated using the weakest bound electron potential model theory (WBEPMT) for the investigation of effects of expectation values of radii.We have used both numerical non-relativistic Hartree-Fock (NRHF) wave functions and numerical Coulomb approximation (NCA) wave functions to calculate expectation values of radii. The transition probability results obtained using the parameters determined with two different wave functions agree well with each other and accepted values taken from NIST for low values of transition probability. However, the NRHF wave functions present better results for p–s transitions, while NCA wave functions are better in s–p transitions for large values of transition probability.
Number-projected beta transition probabilities within a neutron–proton pairing framework
Particle-number fluctuations effects on the beta transition probabilities are studied in the neutron–proton pairing framework. The Hamiltonian of the system has been considered in its most general form and has been diagonalized by means of the linearization method. However, since the generalized Bogoliubov–Valatin transformation obtained in this way leads to a quasi-particle Hamiltonian which is still nondiagonal, a rediagonalization has been performed. The corresponding wave functions have been projected on both the good neutron and proton numbers using a recently proposed method. Expressions of the beta transition probabilities which strictly conserve the particle-number have then been established. As a first step, the model has been numerically tested within the framework of the schematic one-level model. As a second step, nuclei such as N = Z has been studied using the single-particle energies and eigenstates of the Woods–Saxon deformed mean field. It has thus been shown the necessity of: (i) including the isovector pairing correlations, (ii) performing a rediagonalization of the Hamiltonian, (iii) performing a particle-number projection, (iv) carefully choice the pairing-strength values, when calculating the transition probabilities. (author)
Interpretation of the spectrum of Sn II: experimental and theoretical transition probabilities
The optical emission a from laser produced plasma generated by 1064 nm irradiation of Sn/Pb alloys targets at a flux of 2.1010 W cm-2 was recorded and analyzed between 200 and 700 nm. The local thermodynamic equilibrium (LTE) conditions and plasma homogeneity have been checked. The analysis of Sn II was checked, with the support of parametric studies of the mixed configurations in both parities, by means of a self-consistent-field method to generate one-electron orbitals. The parametric description of the 5s5p2 configuration is improved by taking into account 5s25d, 5s26d and 5s27d mixing effects. Eigenfunctions were used to derive theoretical values of the transition probabilities. Experimental transition probabilities for 36 lines of Sn II arising from the 5s2ns, 5s2np, 5s2nd, 5s2nf, and 5s5p2 configurations of Sn II have been determined. Some values have been compared with the available data in the literature and are in a good agreement. The coincidence between several experimental and theoretical transition probabilities obtained in this work is remarked. (orig.)
Over the past few years, laser induced fluorescence and Fourier Transform techniques have been applied to measure radiative lifetimes and branching fractions in Hf II in order to derive oscillator strengths and transition probabilities. In the present work, we propose to compare for the first time these experimental data to computed values obtained by two different semi-empirical approaches, respectively based on a parametrization of the oscillator strengths and on a pseudo-relativistic Hartree–Fock model including core-polarization effects. The overall agreement between all sets of data is found to be good. We furthermore give radial integrals of the main atomic transitions in this study: 〈5d6s6p|r1|5d26s〉=0.1504 (0.0064), 〈6s26p|r1|5d6s2〉=1.299 (0.012), 〈5d26p|r1|5d26s〉=−0.298 (0.013), 〈5d26p|r1|5d3〉=2.025 (0.027). Finally a new set of oscillator strengths and transition probabilities is reported for many transitions in Hf II
Omidvar, K.
1980-01-01
Branching ratios in hydrogen-like atoms due to electric-dipole transitions are tabulated for the initial principal and angular momentum quantum number n, lambda, and final principal and angular momentum quantum numbers n, lambda. In table 1, transition probabilities are given for transitions n, lambda, yields n, where sums have been made with respect to lambda. In this table, 2 or = n' or = 10, o or = lambda' or = n'-1, and 1 or = n or = n'-1. In addition, averages with respect to lambda' and sums with respect to n, and lifetimes are given. In table 2, branching ratios are given for transitions n' lambda' yields ni, where sums have been made with respect to lambda. In these tables, 2 or = n' or = 10, 0 or = lambda', n'-1, and 1 or = n or = n'-1. Averages with respect to lambda' are also given. In table 3, branching ratios are given for transitions n' lambda' yields in lambda, where 1 or = n or = 5, 0 or = lambda or = n-1, n n' or = 15, and 0 or = lambda' or = n(s), where n(s), is the smaller of the two numbers n'-1 and 6. Averages with respect to lambda' are given.
Nahar, S N; Chen, G X; Pradhan, A K; Nahar, Sultana N.; Eissner, Werner; Chen, Guo-Xin; Pradhan, Anil K.
2003-01-01
An extensive set of fine structure levels and corresponding transition probabilities for allowed and forbidden transitions in Fe XVII is presented. A total of 490 bound energy levels of Fe XVII of total angular momenta 0 <= J <= 7 of even and odd parities with 2 <= n <= 10, 0 <= l <= 8, 0 <= L <= 8, and singlet and triplet multiplicities, are obtained. They translate to over 2.6 x 10^4 allowed (E1) transitions that are of dipole and intercombination type, and about 3000 forbidden transitions that include electric quadrupole (E2), magnetic dipole (M1), electric octopole (E3), and magnetic quadrupole (M2) type representing the most detailed calculations to date for the ion. Oscillator strengths f, line strengths S, and coefficients A of spontaneous emission for the E1 type transitions are obtained in the relativistic Breit-Pauli R-matrix approximation. A valus for the forbidden transitions are obtained from atomic structure calculations using codes SUPERSTRUCTURE and GRASP. The energy le...
Wiese, Wolfgang L.; Fuhr, J. R.
2006-01-01
We have undertaken new critical assessments and tabulations of the transition probabilities of important lines of these spectra. For Fe I and Fe II, we have carried out a complete re-assessment and update, and we have relied almost exclusively on the literature of the last 15 years. Our updates for C I, C II and N I, N II primarily address the persistent lower transitions as well as a greatly expanded number of forbidden lines (M1, M2, and E2). For these transitions, sophisticated multiconfiguration Hartree-Fock (MCHF) calculations have been recently carried out, which have yielded data considerably improved and often appreciably different from our 1996 NIST compilation.
E2 and M1 Transition Probabilities in Odd Mass Hg Nuclei
L- and M-subshell ratios have been measured for the 39.5 keV transition in 193Hg and the 37.1 and 16.2 keV transitions in 195Hg yielding 0.38 ± 0.12 , 193Hg and the 53.3 and 37.1 keV levels in 195Hg have been measured by the delayed coincidence method, yielding values of 0.63 ± 0.03, 0.72 ± 0.03 and <0.05 nsec respectively. A systematic compilation of reduced E2 and M1 transition probabilities in odd mass Pt, Hg and Pb nuclei is given and compared to theoretical predictions
Energy spectra and quadrupole transition probabilities of 124-130Ba
Sabri, H
2016-01-01
In this paper, we have studied the energy spectra and B(E2) transition probabilities of 124-130Ba isotopes in the shape phase transition region between the spherical and gamma unstable deformed shapes. We have used a transitional Interacting Boson Model Hamiltonian which is based on affine SU(1,1) Lie Algebra in the both IBM-1 and 2 versions and also the Catastrophe theory in combination with a coherent state formalism to generate energy surfaces and determine the exact values of control parameters. Our results for control parameters suggest a combination of U(5) and SO(6) dynamical symmetries in this isotopic chain. Also, the theoretical predictions can be rather well reproduce the experimental counterparts when the control parameter is approached to the SO(6) limit.
Zhiyan Shi; Weiguo Yang
2009-01-01
We study some limit properties of the harmonic mean of random transition probability for a second-order nonhomogeneous Markov chain and a nonhomogeneous Markov chain indexed by a tree. As corollary, we obtain the property of the harmonic mean of random transition probability for a nonhomogeneous Markov chain.
Kastner, S. O.
1976-01-01
Forbidden transition probabilities are given for ground term transitions of ions in the isoelectronic sequences with outer configurations 2s2 2p (B I), 2p5 (F I), 3s2 3p (Al I), and 3p5 (Cl I). Tables give, for each ion, the ground term interval, the associated wavelength, the quadrupole radial integral, the electric quadrupole transition probability, and the magnetic dipole transition probability. Coronal lines due to some of these ions have been observed, while others are yet to be observed. The tales for the Al I and Cl I sequences include elements up to germanium.
Kendall, W.L.; Nichols, J.D.
2002-01-01
Temporary emigration was identified some time ago as causing potential problems in capture-recapture studies, and in the last five years approaches have been developed for dealing with special cases of this general problem. Temporary emigration can be viewed more generally as involving transitions to and from an unobservable state, and frequently the state itself is one of biological interest (e.g., 'nonbreeder'). Development of models that permit estimation of relevant parameters in the presence of an unobservable state requires either extra information (e.g., as supplied by Pollock's robust design) or the following classes of model constraints: reducing the order of Markovian transition probabilities, imposing a degree of determinism on transition probabilities, removing state specificity of survival probabilities, and imposing temporal constancy of parameters. The objective of the work described in this paper is to investigate estimability of model parameters under a variety of models that include an unobservable state. Beginning with a very general model and no extra information, we used numerical methods to systematically investigate the use of ancillary information and constraints to yield models that are useful for estimation. The result is a catalog of models for which estimation is possible. An example analysis of sea turtle capture-recapture data under two different models showed similar point estimates but increased precision for the model that incorporated ancillary data (the robust design) when compared to the model with deterministic transitions only. This comparison and the results of our numerical investigation of model structures lead to design suggestions for capture-recapture studies in the presence of an unobservable state.
Fischer, Charlotte Froese; Rubin, Robert H
2004-01-01
Energy levels, lifetimes, and transition probabilities for transitions between computed levels of 3d^5 of Fe IV are reported. The E2 and M1 transition probabilities are compared with earlier theoretical results, often only the values published by Garstang in 1958. From the available astronomical observations of optical emission lines arising from the same level, a few direct tests are now possible and they show consistency with the theoretical calculations.
Jimenez-Cruz, Camilo Andres; Garcia, Angel E
2013-08-13
The characterization of transition pathways between long-lived states, and the identification of the corresponding transition state ensembles are useful tools in the study of rare events such as protein folding. In this work we demonstrate how the most probable transition path between metastable states can be recovered from replica exchange molecular dynamic simulation data by using the dynamic string method. The local drift vector in collective variables is determined via short continuous trajectories between replica exchanges at a given temperature, and points along the string are updated based on this drift vector to produce reaction pathways between the folded and unfolded state. The method is applied to a designed beta hairpin-forming peptide to obtain information on the folding mechanism and transition state using different sets of collective variables at various temperatures. Two main folding pathways differing in the order of events are found and discussed, and the relative free energy differences for each path estimated. Finally, the structures near the transition state are found and described. PMID:26584126
This work reports on results from two Recoil-Distance-Doppler-Shift lifetime measurements of excited states in 155Dy and 178Os. The experiments were carried out at the GASP spektrometer of the Laboratori Nazional i di Legnaro in combination with the Cologne plunger apparatus. The main purpose of the performed experiments was to test the predictions of the X(5) critical point symmetry in these two nuclei. In 156Dy and 178Os 29 lifetimes of excited states were derived using the Differential-Decay-Curve method. In weaker reaction channels the nuclei 155Dy, 157Dy and 177Os were populated. In these nuclei 32 additional lifetimes were measured, most of them for the first time. In order to calculate absolute transition probabilities from the measured lifetimes of the first excited band in 156Dy, essential branching ratios were derived from the measured data with a very small systematic error (178Os confirm the consistency of a X(5) description in these nuclei. A comparision with the well established X(5)-like nuclei in the N=90 isotones gives an agreement with the X(5) description of at least the same quality. (orig.)
The probability that an electron initiates breakdown has been investigated by measurements of spark delay times in a uniform field gap provided with a small photocurrent of free electrons. In N2, H2, and Ar the dependence of the breakdown probability on overvoltage agreed with calculations based on the Townsend mechanism. In SF6 and CC12F2 a transition was observed with increasing pressure from a dependence that agreed with the Townsend theory to a more gradual rise with voltage. This transition has been ascribed to a decrease in the secondary ionization coefficient with increasing pressure, which resulted in an average electron avalanche size at the static breakdown voltage that approached the critical value for streamer formation. A unified breakdown probability theory, for which the Townsend and streamer mechanisms are limiting cases, has been developed to account for the data over the full pressure range. The implications of these results for measurement of the static breakdown voltage and the secondary ionization coefficient are discussed
Gao Zhong-Ke; Hu Li-Dan; Jin Ning-De
2013-01-01
We generate a directed weighted complex network by a method based on Markov transition probability to represent an experimental two-phase flow.We first systematically carry out gas-liquid two-phase flow experiments for measuring the time series of flow signals.Then we construct directed weighted complex networks from various time series in terms of a network generation method based on Markov transition probability.We find that the generated network inherits the main features of the time series in the network structure.In particular,the networks from time series with different dynamics exhibit distinct topological properties.Finally,we construct two-phase flow directed weighted networks from experimental signals and associate the dynamic behavior of gas-liquid two-phase flow with the topological statistics of the generated networks.The results suggest that the topological statistics of two-phase flow networks allow quantitative characterization of the dynamic flow behavior in the transitions among different gas-liquid flow patterns.
Radiationless transition probabilities in muonic 208Pb, 232Th, and 238U
The probabilities for non-radiative (n.r.) excitations Pn.r. in the muonic nuclides 208Pb, 232Th, and 238U have been determined for (μ-, γγ)-measurements by comparing the intensities of muonic X-ray transitions in single and coincidence spectra. The value of Pn.r. (3p→1s), measured for the first time, is about 90% for the actinides 232Th and 238U, but only about 8% for 208Pb. The value of Pn.r. (3d→1s) is found to be 10% for 233Th, 13% for 238U, and about 4% for 208Pb. For 208Pb a vanishing strength of the n.r. decay of the 2p-level is found, while for 232Th and for 238U n.r. strengths of about 20% and 26%, respectively, are observed. By regarding two subcomplexes of the 2p→1s transitions leading to different mean excitation energies the n.r. transition probabilities were found to be different for 238U only, 21.6% and 31.1%, respectively. (orig.)
We generate a directed weighted complex network by a method based on Markov transition probability to represent an experimental two-phase flow. We first systematically carry out gas—liquid two-phase flow experiments for measuring the time series of flow signals. Then we construct directed weighted complex networks from various time series in terms of a network generation method based on Markov transition probability. We find that the generated network inherits the main features of the time series in the network structure. In particular, the networks from time series with different dynamics exhibit distinct topological properties. Finally, we construct two-phase flow directed weighted networks from experimental signals and associate the dynamic behavior of gas-liquid two-phase flow with the topological statistics of the generated networks. The results suggest that the topological statistics of two-phase flow networks allow quantitative characterization of the dynamic flow behavior in the transitions among different gas—liquid flow patterns. (general)
Multiconfiguration Dirac-Hartree-Fock energy levels and transition probabilities for 3d^5 in Fe IV
Fischer, C. Froese; Rubin, R. H.; M. Rodríguez
2008-01-01
Multiconfiguration Dirac-Hartree-Fock electric quadrupole (E2) and magnetic dipole (M1) transition probabilities are reported for transitions between levels of 3d^5 in [Fe IV]. The accuracy of the ab initio energy levels and the agreement in the length and velocity forms of the line strength for the E2 transitions are used as indicators of accuracy. The present E2 and M1 transition probabilities are compared with earlier Breit-Pauli results and other theories. An extensive set of transition p...
Absolute frequency measurement of the magnesium intercombination transition $^1S_0 \\to ^3P_1$
Friebe, Jan; Pape, André; Riedmann, Matthias; Moldenhauer, Karsten; Mehlstäubler, Tanja; Rehbein, Nils; Lisdat, Christian; Rasel, Ernst M.; Ertmer, Wolfgang; Schnatz, Harald; Lipphardt, Burghard; Grosche, Gesine
2007-01-01
We report on a frequency measurement of the $(3s^2)^1S_0\\to(3s3p)^3P_1$ clock transition of $^{24}$Mg on a thermal atomic beam. The intercombination transition has been referenced to a portable primary Cs frequency standard with the help of a femtosecond fiber laser frequency comb. The achieved uncertainty is $2.5\\times10^{-12}$ which corresponds to an increase in accuracy of six orders of magnitude compared to previous results. The measured frequency value permits the calculation of several ...
The volume and time comparison principle and transition probability estimates for random walks
Telcs, András
2003-01-01
This paper presents necessary and sufficient conditions for on- and off-diagonal transition probability estimates for random walks on weighted graphs. On the integer lattice and on may fractal type graphs both the volume of a ball and the mean exit time from a ball are independent of the center, uniform in space. Here the upper estimate is given without such restriction and two-sided estimate is given if the mean exit time is independent of the center but the volume is not.
Cappellari, Lorenzo; Jenkins, Stephen P.
2004-01-01
We model annual low pay transition probabilities taking account of three potentially endogenous selections: two sample drop-out mechanisms (panel attrition, non-employment) and â€˜initial conditionsâ€™ (base-year low pay status). This model, and variants that ignore one or more of these selection mechanisms, are fitted to data for men from the British Household Panel Survey. Tests of the ignorability of the endogenous selection mechanisms suggest that â€˜economicâ€™ selection mechanisms such ...
Crawford, Forrest W.; Suchard, Marc A.
2011-01-01
A birth-death process is a continuous-time Markov chain that counts the number of particles in a system over time. In the general process with n current particles, a new particle is born with instantaneous rate λn and a particle dies with instantaneous rate μn. Currently no robust and efficient method exists to evaluate the finite-time transition probabilities in a general birth-death process with arbitrary birth and death rates. In this paper, we first revisit the theory of continued fractio...
Radiative transition probabilities for all vibrational levels in the X 1Sigma(+) state of HF
Zemke, Warren T.; Stwalley, William C.; Langhoff, Stephen R.; Valderrama, Giuseppe L.; Berry, Michael J.
1991-01-01
Recent analyses have led to an experimentally-based potential energy curve for the ground state of HF which includes nonadiabatic corrections and which joins smoothly to the long-range potential at an accurately determined dissociation limit. Using this potential curve and a new ab initio dipole moment function, accurate radiative transition probabilities among all vibrational levels of the ground state of HF have been calculated for selected rotational quantum numbers. Comparisons of Einstein A spontaneous emission coefficients, dipole moment absorption matrix elements, and Herman-Wallis factors for absorption bands are presented.
Crawford, Forrest W.; Suchard, Marc A.
2011-01-01
A birth-death process is a continuous-time Markov chain that counts the number of particles in a system over time. In the general process with $n$ current particles, a new particle is born with instantaneous rate $\\lambda_n$ and a particle dies with instantaneous rate $\\mu_n$. Currently no robust and efficient method exists to evaluate the finite-time transition probabilities in a general birth-death process with arbitrary birth and death rates. In this paper, we first revisit the theory of c...
The abundances of Fe and other elements are determined for a star of intermediate metallicity and for nine extremely metal poor stars, including two members of the globular cluster M92 and CD -38 deg 245. The accuracy of the transition probabilities for Fe I and other elements is evaluated. The distribution of the abundances of other elements with respect to Fe is the same for most of the cases studied. Manganese is the only element that shows a different relative abundance in an extremely metal poor star. 120 refs
K-LL Auger transition probabilities for elements with low and intermediate atomic numbers
Chen, M. H.; Crasemann, B.
1973-01-01
Radiationless K-LL transition probabilities have been calculated nonrelativistically in j-j coupling and in intermediate coupling, without and with configuration interaction, for elements with atomic numbers from 13 to 47. The system is treated as a coupled two-hole configuration. The single-particle radial wave functions required in the calculation of radial matrix elements, and in the calculation of mixing coefficients in the intermediate-coupling scheme, were obtained from Green's atomic independent-particle model. Comparison with previous theoretical work and with experimental data is made. The effects of intermediate coupling, configuration interaction, and relativity are noted.
Results from multiconfiguration Dirac–Hartree–Fock (MCDHF) and relativistic configuration interaction (RCI) calculations are presented for the n=3 to n′=3 transitions in the Mg isoelectronic sequence. The calculated values for the lowest 35 levels including core–valence correlation are found to be similar and to compare very well with other theoretical and experimental values. The Breit interaction and leading quantum electrodynamic effects are included as perturbations. The calculations can provide useful data for the experimental study of determining the fine structure levels in future work. - Highlights: • Multiconfiguration Dirac–Hartree–Fock (MCDHF) and relativistic configuration interaction calculations were used. • The valence–valence and core–valence correlations are considered. • Energy levels and transitions probabilities are calculated for 35 levels of magnesium-like ions. • Detail QED and total energy for four configurations were presented
Transition probabilities for two-photon H(1-2) and He(11-21) transitions: A partial-closure approach
Monika Bassi; K L Baluja
2000-03-01
Transition amplitudes and transition probabilities for the two-photon 1-2 transition in the hydrogen atom and 11-21 transition in helium atom have been calculated using a partialclosure approach. The dominant term is calculated exactly and the remaining sum over intermediate states is calculated using a mean excitation energy. Our value of the transition amplitudes agree within 2% with the exact results for the hydrogen case. Our value of the transition probability for hydrogen is 8.50 -1 which is in good accord with its known value 8.226 s-1. For helium, the photon energy distribution of the metastable 21 state is in good agreement with the accurate values. The corresponding transition probability is 53.7 s-1 which is in good agreement with the accurate value 51.3 s-1.
Calculated level energies, transition probabilities, and lifetimes of silicon-like ions
The authors present theoretical excitation energies and lifetimes for the 27 low-lying levels of silicon-like ions of S, Ar, Ca, Ti, Fe, Zn, and Kr (16 ≤ Z ≤ 36). Special attention has been paid to provide a complete tabulation of all electric-dipole (E1) allowed transitions from levels of the 3s3p3 and 3s23p3d excited configurations to those of the 3s23p2 ground-state configuration, including all weak and intercombination transitions. Large-scale multiconfiguration Dirac-Fock wave functions are applied to compute transition energies and probabilities. They further investigate the decay of the 3s23p3dJ = 4 level which is connected to the ground-state configuration only via forbidden M2 transitions but otherwise mainly decays via M1 to lower-lying levels of the same parity. For a few selected data, they compare the results with experiment and with previous computations
Absolutely Continuous Spectrum and Spectral Transition for some Continuous Random Operators
M Krishna
2012-05-01
In this paper we consider two classes of random Hamiltonians on $L^2(\\mathbb{R}^d)$: one that imitates the lattice case and the other a Schrödinger operator with non-decaying, non-sparse potential both of which exhibit a.c. spectrum. In the former case we also know the existence of dense pure point spectrum for some disorder thus exhibiting spectral transition valid for the Bethe lattice and expected for the Anderson model in higher dimension.
Absolute frequency measurement of the magnesium intercombination transition $^1S_0 \\to ^3P_1$
Friebe, Jan; Riedmann, Matthias; Moldenhauer, Karsten; Mehlstäubler, Tanja; Rehbein, Nils; Lisdat, Christian; Rasel, Ernst M; Ertmer, Wolfgang; Schnatz, Harald; Lipphardt, Burghard; Grosche, Gesine
2007-01-01
We report on a frequency measurement of the $(3s^2)^1S_0\\to(3s3p)^3P_1$ clock transition of $^{24}$Mg on a thermal atomic beam. The intercombination transition has been referenced to a portable primary Cs frequency standard with the help of a femtosecond fiber laser frequency comb. The achieved uncertainty is $2.5\\times10^{-12}$ which corresponds to an increase in accuracy of six orders of magnitude compared to previous results. The measured frequency value permits the calculation of several other optical transitions from $^1S_0$ to the $^3P_J$-level system for $^{24}$Mg, $^{25}$Mg and $^{26}$Mg. We describe in detail the components of our optical frequency standard like the stabilized spectroscopy laser, the atomic beam apparatus used for Ramsey-Bord\\'e interferometry and the frequency comb generator and discuss the uncertainty contributions to our measurement including the first and second order Doppler effect. An upper limit of $3\\times10^{-13}$ in one second for the short term instability of our optical f...
New energy levels, calculated lifetimes and transition probabilities in Xe IX
Gallardo, M; Raineri, M; Reyna Almandos, J [Centro de Investigaciones Opticas (CIOp), CC 3 (1897) Gonnet, La Plata (Argentina); Biemont, E [IPNAS, Universite de Liege, B15 Sart Tilman, B-4000 Liege (Belgium)
2011-02-28
Twenty-one new experimental energy levels belonging to the 4d{sup 9}6p, 4d{sup 9}4f and 4d{sup 9}5f configurations of Xe IX are presented. They have been deduced from 75 newly classified lines involving the configurations 4d{sup 9}5p, 4d{sup 9}6p, 4d{sup 9}4f, 4d{sup 9}5f and 4d{sup 9}5d, 4d{sup 9}5s, 4d{sup 9}6s for the odd and even parities, respectively. The radiative lifetimes of these levels as well as the weighted oscillator strengths and transition probabilities for all the observed spectral lines have been calculated with optimized parameters deduced from a least-squares fitting procedure applied in the framework of a relativistic Hartree-Fock method including core-polarization effects. The scale of transition probabilities has also been assessed through comparisons with lifetimes calculated using a relativistic multiconfigurational Dirac-Fock approach.
Solution to a gene divergence problem under arbitrary stable nucleotide transition probabilities
Holmquist, R.
1976-01-01
A nucleic acid chain, L nucleotides in length, with the specific base sequence B(1)B(2) ... B(L) is defined by the L-dimensional vector B = (B(1), B(2), ..., B(L)). For twelve given constant non-negative transition probabilities that, in a specified position, the base B is replaced by the base B' in a single step, an exact analytical expression is derived for the probability that the position goes from base B to B' in X steps. Assuming that each base mutates independently of the others, an exact expression is derived for the probability that the initial gene sequence B goes to a sequence B' = (B'(1), B'(2), ..., B'(L)) after X = (X(1), X(2), ..., X(L)) base replacements. The resulting equations allow a more precise accounting for the effects of Darwinian natural selection in molecular evolution than does the idealized (biologically less accurate) assumption that each of the four nucleotides is equally likely to mutate to and be fixed as one of the other three. Illustrative applications of the theory to some problems of biological evolution are given.
Exact solution of electric transitions and production probability of isomer state of FP
This report describes the study done within the period of time when I was postdoctoral research worker at Japan Nuclear Cycle Development Institute. The report includes two parts as follows. 1) Exact Solution of Electric Transitions for High Energy photons. Technologies for creating high-energy γ beams have been rapidly developed. These advancements make the research using high-energy γ-rays more important. The electric transition rates for high energy γ-rays were formulated. The electric multipole fields were treated strictly in the process of calculating the electric transition rates and the nuclear states were taken as the harmonic oscillator wave functions. 2) Production of the isomeric state of 138Cs in the thermal neutron capture reaction 137Cs(n,γ)138Cs. In order to obtain precise data of the neutron capture cross section of the reaction 137Cs(n,γ)138Cs, the production probability of isomer state 138mCs was measured in this work. The 1436 keV γ-ray emitted from both of 138gCs and 138mCs was measured. A production ratio of 138mCs to (138gCs and 138mCs) was deduced from time dependence of peak counts of 1436 keV γ-ray. The probability of the production of 138mCs was obtained as 0.75±0.18 and this value revised the effective cross section upwards 9±2%. The effective cross section σ and the thermal neutron capture cross section σ0 were obtained as σ=0.29±0.02 b and σ0=0.27±0.03 b with taking into account the production of 138mCs. (author)
Dan Ye
2013-01-01
Full Text Available This paper is concerned with delay-dependent stochastic stability for time-delay Markovian jump systems (MJSs with sector-bounded nonlinearities and more general transition probabilities. Different from the previous results where the transition probability matrix is completely known, a more general transition probability matrix is considered which includes completely known elements, boundary known elements, and completely unknown ones. In order to get less conservative criterion, the state and transition probability information is used as much as possible to construct the Lyapunov-Krasovskii functional and deal with stability analysis. The delay-dependent sufficient conditions are derived in terms of linear matrix inequalities to guarantee the stability of systems. Finally, numerical examples are exploited to demonstrate the effectiveness of the proposed method.
We treat the N-particle zero range process whose jumping rates satisfy a certain condition. This condition is required to use the Bethe ansatz and the resulting model is the q-boson model by Sasamoto and Wadati [“Exact results for one-dimensional totally asymmetric diffusion models,” J. Phys. A 31, 6057–6071 (1998)] or the q-totally asymmetric zero range process (TAZRP) by Borodin and Corwin [“Macdonald processes,” Probab. Theory Relat. Fields (to be published)]. We find the explicit formula of the transition probability of the q-TAZRP via the Bethe ansatz. By using the transition probability we find the probability distribution of the left-most particle's position at time t. To find the probability for the left-most particle's position we find a new identity corresponding to identity for the asymmetric simple exclusion process by Tracy and Widom [“Integral formulas for the asymmetric simple exclusion process,” Commun. Math. Phys. 279, 815–844 (2008)]. For the initial state that all particles occupy a single site, the probability distribution of the left-most particle's position at time t is represented by the contour integral of a determinant
Korhonen, Marko [Department of Mathematics and Statistics, University of Helsinki, FIN-00014 (Finland); Lee, Eunghyun [Centre de Recherches Mathématiques (CRM), Université de Montréal, Quebec H3C 3J7 (Canada)
2014-01-15
We treat the N-particle zero range process whose jumping rates satisfy a certain condition. This condition is required to use the Bethe ansatz and the resulting model is the q-boson model by Sasamoto and Wadati [“Exact results for one-dimensional totally asymmetric diffusion models,” J. Phys. A 31, 6057–6071 (1998)] or the q-totally asymmetric zero range process (TAZRP) by Borodin and Corwin [“Macdonald processes,” Probab. Theory Relat. Fields (to be published)]. We find the explicit formula of the transition probability of the q-TAZRP via the Bethe ansatz. By using the transition probability we find the probability distribution of the left-most particle's position at time t. To find the probability for the left-most particle's position we find a new identity corresponding to identity for the asymmetric simple exclusion process by Tracy and Widom [“Integral formulas for the asymmetric simple exclusion process,” Commun. Math. Phys. 279, 815–844 (2008)]. For the initial state that all particles occupy a single site, the probability distribution of the left-most particle's position at time t is represented by the contour integral of a determinant.
MA Dong-Ping; LIU Yan-Yun; CHEN Ju-Rong
2001-01-01
On the basis of the unified calculation of the thermal shifts of R1 line, R2 line and ground-state-splitting transition probabilities of direct and Raman processes have theoretically been calculated. The thermal broadenings of R,The theoretically predicted transition probabilities are in good agreement with the experimental ones.PACS numbers: 71.70.Ch, 78.20.Nv, 63.20.Mt, 63.20.Kr
Sumangala Patil; P.Nagaraju; Somashekar Deasi
2012-01-01
This paper suggests an approach to software system architecture specification based on behavior models. The behavior of the system is defined as an event occurring probability and time. The behavior ofthe system over a time of stationary Markov process is completely characterized by the one step transition matrix, the matrix of instantaneous transition rates. Given the element of the appropriative matrix, it is possible to calculate probability of event of the process.
A. Akbulut; T. Adiguzel; YILMAZ, A. E.
2012-01-01
In this study, Particle Swarm Optimization is applied for the estimation of the channel state transition probabilities. Unlike most other studies, where the channel state transition probabilities are assumed to be known and/or constant, in this study, these values are realistically considered to be time-varying parameters, which are unknown to the secondary users of the cognitive radio systems. The results of this study demonstrate the following: without any a priori information about the cha...
Siegman, A. E.; Wang, S. C.
1970-01-01
Absorptivity, transition probability and collision broadening frequency of dimethylether at 3.51 micron He-Xe laser wavelength, noting pressure dependence, transition lifetime and saturation intensity
In the recent work devoted to the calculation of the rovibrational line list of the CO molecule [G. Li et al., Astrophys. J., Suppl. Ser. 216, 15 (2015)], rigorous validation of the calculated parameters including intensities was carried out. In particular, the Normal Intensity Distribution Law (NIDL) [E. S. Medvedev, J. Chem. Phys. 137, 174307 (2012)] was employed for the validation purposes, and it was found that, in the original CO line list calculated for large changes of the vibrational quantum number up to Δn = 41, intensities with Δn > 11 were unphysical. Therefore, very high overtone transitions were removed from the published list in Li et al. Here, we show how this type of validation is carried out and prove that the quadruple precision is indispensably required to predict the reliable intensities using the conventional 32-bit computers. Based on these calculations, the NIDL is shown to hold up for the 0 → n transitions till the dissociation limit around n = 83, covering 45 orders of magnitude in the intensity. The low-intensity 0 → n transition predicted in the work of Medvedev [Determination of a new molecular constant for diatomic systems. Normal intensity distribution law for overtone spectra of diatomic and polyatomic molecules and anomalies in overtone absorption spectra of diatomic molecules, Institute of Chemical Physics, Russian Academy of Sciences, Chernogolovka, 1984] at n = 5 is confirmed, and two additional “abnormal” intensities are found at n = 14 and 23. Criteria for the appearance of such “anomalies” are formulated. The results could be useful to revise the high-overtone molecular transition probabilities provided in spectroscopic databases
Medvedev, Emile S.; Meshkov, Vladimir V.; Stolyarov, Andrey V.; Gordon, Iouli E.
2015-10-01
In the recent work devoted to the calculation of the rovibrational line list of the CO molecule [G. Li et al., Astrophys. J., Suppl. Ser. 216, 15 (2015)], rigorous validation of the calculated parameters including intensities was carried out. In particular, the Normal Intensity Distribution Law (NIDL) [E. S. Medvedev, J. Chem. Phys. 137, 174307 (2012)] was employed for the validation purposes, and it was found that, in the original CO line list calculated for large changes of the vibrational quantum number up to Δn = 41, intensities with Δn > 11 were unphysical. Therefore, very high overtone transitions were removed from the published list in Li et al. Here, we show how this type of validation is carried out and prove that the quadruple precision is indispensably required to predict the reliable intensities using the conventional 32-bit computers. Based on these calculations, the NIDL is shown to hold up for the 0 → n transitions till the dissociation limit around n = 83, covering 45 orders of magnitude in the intensity. The low-intensity 0 → n transition predicted in the work of Medvedev [Determination of a new molecular constant for diatomic systems. Normal intensity distribution law for overtone spectra of diatomic and polyatomic molecules and anomalies in overtone absorption spectra of diatomic molecules, Institute of Chemical Physics, Russian Academy of Sciences, Chernogolovka, 1984] at n = 5 is confirmed, and two additional "abnormal" intensities are found at n = 14 and 23. Criteria for the appearance of such "anomalies" are formulated. The results could be useful to revise the high-overtone molecular transition probabilities provided in spectroscopic databases.
Medvedev, Emile S., E-mail: esmedved@orc.ru [The Institute of Problems of Chemical Physics, Russian Academy of Sciences, Prospect Akademika Semenova 1, 142432 Chernogolovka (Russian Federation); Meshkov, Vladimir V.; Stolyarov, Andrey V. [Department of Chemistry, Lomonosov Moscow State University, Leninskie gory 1/3, 119991 Moscow (Russian Federation); Gordon, Iouli E. [Atomic and Molecular Physics Division, Harvard-Smithsonian Center for Astrophysics, 60 Garden St, Cambridge, Massachusetts 02138 (United States)
2015-10-21
In the recent work devoted to the calculation of the rovibrational line list of the CO molecule [G. Li et al., Astrophys. J., Suppl. Ser. 216, 15 (2015)], rigorous validation of the calculated parameters including intensities was carried out. In particular, the Normal Intensity Distribution Law (NIDL) [E. S. Medvedev, J. Chem. Phys. 137, 174307 (2012)] was employed for the validation purposes, and it was found that, in the original CO line list calculated for large changes of the vibrational quantum number up to Δn = 41, intensities with Δn > 11 were unphysical. Therefore, very high overtone transitions were removed from the published list in Li et al. Here, we show how this type of validation is carried out and prove that the quadruple precision is indispensably required to predict the reliable intensities using the conventional 32-bit computers. Based on these calculations, the NIDL is shown to hold up for the 0 → n transitions till the dissociation limit around n = 83, covering 45 orders of magnitude in the intensity. The low-intensity 0 → n transition predicted in the work of Medvedev [Determination of a new molecular constant for diatomic systems. Normal intensity distribution law for overtone spectra of diatomic and polyatomic molecules and anomalies in overtone absorption spectra of diatomic molecules, Institute of Chemical Physics, Russian Academy of Sciences, Chernogolovka, 1984] at n = 5 is confirmed, and two additional “abnormal” intensities are found at n = 14 and 23. Criteria for the appearance of such “anomalies” are formulated. The results could be useful to revise the high-overtone molecular transition probabilities provided in spectroscopic databases.
HUDMAN, JOHN T.; ZABROWSKI, EDWARD K.
EQUATIONS FOR SYSTEM INTAKE, DROPOUT, AND RETENTION RATE CALCULATIONS ARE DERIVED FOR ELEMENTARY SCHOOLS, SECONDARY SCHOOLS, AND COLLEGES. THE PROCEDURES DESCRIBED WERE FOLLOWED IN DEVELOPING ESTIMATES OF SELECTED ELEMENTS OF THE TRANSITION PROBABILITY MATRICES USED IN DYNAMOD II. THE PROBABILITY MATRIX CELLS ESTIMATED BY THE PROCEDURES DESCRIBED…
E2 transition probabilities for decays of isomers observed in neutron-rich odd Sn isotopes
High-spin states were investigated with gamma coincidence techniques in neutron-rich Sn isotopes produced in fission processes following 48Ca + 208Pb, 48Ca + 238U, and 64Ni + 238U reactions. By exploiting delayedand cross-coincidence techniques, level schemes have been delineated in odd 119–125Sn isotopes. Particular attention was paid to the occurrence of 19/2+ and 23/2+ isomeric states for which the available information has now been significantly extended. Reduced transition probabilities, B(E2), extracted from the measured half-lives and the established details of the isomeric decays exhibit a striking regularity. This behavior was compared with the previously observed regularity of the B(E2) amplitudes for the seniority ν = 2 and 3, 10+ and 27/2– isomers in even- and odd-Sn isotopes, respectively
Transition probabilities and lifetimes of the low-lying levels of Fe XIV
Fan Jian-Zhong; Wang Qing-Min; Chang Zhi-Wei; Dong Chen-Zhong
2012-01-01
The multi-configuration Dirac-Fock method is employed to calculate the transition energies,probabilities,and oscillator strengths for electric dipole allowed (E1) and forbidden (M1,E2,M2) lines for the 3s23p,3s3p2,3s23d,3p3,and 3s3p3d configurations of Fe XIV.The lifetimes of all 40 levels of these low-lying configurations are also derived.The valence-valence and core-valence correlation effects are accounted for in a systematic way.Breit interactions and quantum electrodynamics (QED) effects are estimated in subsequent relativistic configuration interaction (CI)calculations.The present results are in good agreement with other available theoretical and experimental values,and therefore can be used for the further astrophysical investigations.
Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance
We consider a localized electronic spin controlled by a circularly polarized optical beam and an external magnetic field. When the frequency of the beam is tuned near an optical resonance with a continuum of higher energy states, effective magnetic fields are induced on the two-level system via the inverse Faraday effect. We explore the process in which the frequency of the beam is made linearly time-dependent so that it sweeps through the optical resonance, starting and ending at the values far away from it. In addition to changes of spin states, Kramers-Kronig relations guarantee that a localized electron can also escape into a continuum of states. We argue that probabilities of transitions between different possible electronic states after such a sweep of the optical frequency can be found exactly, regardless the shape of the resonance. We also discuss extension of our results to multistate systems. (paper)
Measurement of the transition probability of the C III 190.9 nanometer intersystem line
Kwong, Victor H. S.; Fang, Z.; Gibbons, T. T.; Parkinson, W. H.; Smith, Peter L.
1993-01-01
A radio-frequency ion trap has been used to store C(2+) ions created by electron bombardment of CO. The transition probability for the 2s2p 3Po1-2s2 1S0 intersystem line of C m has been measured by recording the radiative decay at 190.9 nm. The measured A-value is 121 +/- 7/s and agrees, within mutual uncertainty limits, with that of Laughlin et al. (1978), but is 20 percent larger than that of Nussbaumer and Storey (1978). The effective collision mixing rate coefficient among the fine structure levels of 3Po and the combined quenching and charge transfer rate coefficients out of the 3Po1 level with the CO source gas have also been measured.
Xu, Y. J.; Khandelwal, G. S.; Wilson, John W.
1989-01-01
A simple formula for the transition probability for electron exchange between unlike ions and atoms is established within the adiabatic approximation by employing the Linear Combination of Atomic Orbitals (LCAO) method. The formula also involves an adiabatic parameter, introduced by Massey, and thus the difficulties arising from the internal energy defect and the adiabatic approximation are avoided. Specific reactions Li(+++) + H to Li(++) + H(+) and Be(4+) + H to Be(3+) + H(+) are considered as examples. The calculated capture cross section results of the present work are compared with the experimental data and with the calculation of other authors over the velocity range of 10(7) cm/sec to 10(8) cm/sec.
Theoretical Calculations of Transition Probabilities and Oscillator Strengths for Sc(Ⅲ) and Y(Ⅲ)
Tian-yi Zhang; Neng-wu Zheng
2009-01-01
The Weakest Bound Electron Potential Model theory is used to calculate transition probability-values and oscillator strength-values for individual lines of Sc(Ⅲ) and Y(Ⅲ). In this method, by solving the SchrSdinger equation of the weakest bound electron, the expressions of energy eigenvalue and the radial function can be obtained. And a coupled equation is used to determine the parameters which are needed in the calculations. The ob-tained results of Sc(Ⅲ) from this work agree very well with the accepted values taken from the National Institute of Standards and Technoligy (NIST) data base, most deviations are within the accepted level. For Y(Ⅲ) there are no accepted values reported by the NIST data base. So we compared our results of Y(Ⅲ) with other theoretical results, good agreement is also obtained.
Shirai, Tomoyuki
2003-01-01
For a certain class of reversible random walks possibly with drift on an abelian covering graph of a finite graph, using the technique of twisted transition operator, we obtain the asymptotic behavior of the $n$-step transition probability $p_n(x,y)$ as $n \\to \\infty$ and give an expression of the constant which appears in the asymptotics.
Cooper, D. M.
1979-01-01
Electronic transition moments of seven C2 singlet and triplet band systems in the 0.2-1.2 micron spectral region were measured. The measurements were made in emission behind incident shock waves in C2H2-argon mixtures. Narrow bandpass radiometers were used to obtain absolute measurements of shock-excited C2 radiation from which absolute electronic transition moments are derived by a synthetic spectrum analysis. New results are reported for the Ballik-Ramsay, Phillips, Swan, Deslandres-d'Azambuja, Fox-Herzberg, Mulliken, and Freymark systems.
Easy Absolute Values? Absolutely
Taylor, Sharon E.; Mittag, Kathleen Cage
2015-01-01
The authors teach a problem-solving course for preservice middle-grades education majors that includes concepts dealing with absolute-value computations, equations, and inequalities. Many of these students like mathematics and plan to teach it, so they are adept at symbolic manipulations. Getting them to think differently about a concept that they…
Transition probability of the Si III 189.2-nm intersystem line
Kwong, H. S.; Johnson, B. C.; Smith, P. L.; Parkinson, W. H.
1983-01-01
Measurement of the lifetime of the metastable 3s3p(3)P(0)1 level of Si(2+) (Si III), which decays by photon emission at 189.2 nm to the 3s2(1)S0 state, is reported. The data were taken from spontaneous emission from metastable Si III stored in an RF ion trap. The Si III ions were produced through electron bombardment of SiH4 and SiF4 at pressures of 1/100,000,000-1/10,000,000 Torr. A photomultiplier was employed to count the photon emissions from the transitions. A total of 11 decay curves were generated for analysis, with Poisson statistics used to set the uncertainties at within 8 pct. Significant systematic effects were controlled, and the lifetime was found to be within 3.6 microsec of 59.9 microsec. The method used is concluded valid for determining the lifetimes of metastable levels of low-Z ions with low charge, and thereby the transition probabilities.
Einstein A coefficients and absolute line intensities for the E2Π-X2Σ+ transition of CaH
Einstein A coefficients and absolute line intensities have been calculated for the E2Π-X2Σ+ transition of CaH. Using wavefunctions derived from the Rydberg-Klein-Rees (RKR) method and electronic transition dipole moment functions obtained from high-level ab initio calculations, rotationless transition dipole moment matrix elements have been calculated for all 10 bands involving v′=0,1 of the E2Π state and v″=0,1,2,3,4 of the X2Σ state. The rotational line strength factors (Hönl-London factors) are derived for the intermediate coupling case between Hund's case (a) and (b) for the E2Π-X2Σ+ transition. The computed transition dipole moments and the spectroscopic constants from a recent study [Ram et al., Journal of Molecular Spectroscopy 2011;266:86-91] have been combined to generate line lists containing Einstein A coefficients and absolute line intensities for 10 bands of the E2Π-X2Σ+ transition of CaH for J-values up to 50.5. The absolute line intensities have been used to determine a rotational temperature of 778±3 °C for the CaH sample in the recent study.
Analyses of the resonant multiphoton ionization of atoms require knowledge of ac Stark energy shifts and of multiphoton, bound-to-bound state, transition amplitudes. In this paper, we consider the three-photon photoionization of hydrogen atoms at frequencies that are at and surrounding the two-photon 1s to 2s resonance. AC energy shift sums of both the 1s and 2s states are calculated as a function of the laser frequency along with two-photon 1s → 2s resonant transition amplitude sums. These quantities are calculated using an extended version of a method, which has often been employed in a variety of ways, of calculating these sums by expressing them in terms of solutions to a variety of differential equations that are derived from the different sums being evaluated. We demonstrate how exact solutions are obtained to these differential equations, which lead to exact evaluations of the corresponding sums. A variety of different cases are analysed, some involving analytic continuation, some involving real number analysis and some involving complex number analysis. A dc Stark sum calculation of the 2s state is carried out to illustrate the case where analytic continuation, pole isolation and pole subtraction are required and where the calculation can be carried out analytically; the 2s state, ac Stark shift sum calculations involve a case where no analytic continuation is required, but where the solution to the differential equation produces complex numbers owing to the finite photoionization lifetime of the 2s state. Results from these calculations are then used to calculate three-photon ionization probabilities of relevance to an analysis of the multiphoton ionization data published by Kyrala and Nichols (1991 Phys. Rev. A 44, R1450)
Engdahl, N.B.; Vogler, E.T.; Weissmann, G.S.
2010-01-01
River-aquifer exchange is considered within a transition probability framework along the Rio Grande in Albuquerque, New Mexico, to provide a stochastic estimate of aquifer heterogeneity and river loss. Six plausible hydrofacies configurations were determined using categorized drill core and wetland survey data processed through the TPROGS geostatistical package. A base case homogeneous model was also constructed for comparison. River loss was simulated for low, moderate, and high Rio Grande stages and several different riverside drain stage configurations. Heterogeneity effects were quantified by determining the mean and variance of the K field for each realization compared to the root-mean-square (RMS) error of the observed groundwater head data. Simulation results showed that the heterogeneous models produced smaller estimates of loss than the homogeneous approximation. Differences between heterogeneous and homogeneous model results indicate that the use of a homogeneous K in a regional-scale model may result in an overestimation of loss but comparable RMS error. We find that the simulated river loss is dependent on the aquifer structure and is most sensitive to the volumetric proportion of fines within the river channel. Copyright 2010 by the American Geophysical Union.
Transition probabilities for the UV0.01 multiplet in N III
Brage, Tomas; Fischer, Charlotte Froese; Judge, Philip G.
1995-01-01
We report on large-scale ab initio multiconfiguration Hartree-Fock calculations for the UV0.01 multiplet, 2s(sup 2)2p(sup 2)P(sub J) - 2s2p(sup 2 4)P(sub J prime), in N III. The resulting transition probabilities agree very well with recent semiempirical calculations, and the lifetimes for two of the three upper levels agree with experiments. The deviation for the third level is discussed. Comparisons made with the highest quality IUE echelle spectra available -- those of RR Tel and V1016 Cyg (both photoionized sources with electron densities below 10(exp 8)/cu cm) -- show that computed branching ratios of lines sharing a common upper level are in agreement with observations to within uncertainties of +/- 10%. High-quality solar limb data or stellar data from the Hubble Space Telescope (HST) could, in principle, be used to determine whether the theoretical or measured lifetimes for the discrepant level are in error. Unfortunately, stellar data for high-density plasmas (N(sub e) greater than 10(exp 11)/cu cm are needed) do not yet exist, and existing solar data lack the photometric precision to address this problem.
An exacting transition probability measurement - a direct test of atomic many-body theories
Dutta, T; Yum, D; Rebhi, R; Mukherjee, M
2016-01-01
A new protocol for measuring the branching fraction of hydrogenic atoms with only statistically limited uncertainty is proposed and demonstrated for the decay of the P$_{3/2}$ level of the barium ion, with precision below $0.5\\%$. Heavy hydrogenic atoms like the barium ion are test beds for fundamental physics such as atomic parity violation and they also hold the key to understanding nucleo-synthesis in stars. To draw definitive conclusion about possible physics beyond the standard model by measuring atomic parity violation in the barium ion it is necessary to measure the dipole transition probabilities of low-lying excited states with precision better than $1\\%$. Furthermore, enhancing our understanding of the $\\it{barium-puzzle}$ in barium stars requires branching fraction data for proper modelling of nucleo-synthesis. Our measurements are the first to provide a direct test of quantum many-body calculations on the barium ion with precision below one percent and more importantly with no known systematic unc...
The reduced transition probabilities for excited states of rare-earths and actinide even-even nuclei
The theoretical B(E2) ratios have been calculated on DF, DR and Krutov models. A simple method based on the work of Arima and Iachello is used to calculate the reduced transition probabilities within SU(3) limit of IBA-I framework. The reduced E2 transition probabilities from second excited states of rare-earths and actinide even–even nuclei calculated from experimental energies and intensities from recent data, have been found to compare better with those calculated on the Krutov model and the SU(3) limit of IBA than the DR and DF models
In this paper we propose the use of angular-momentum-projected generator coordinator method (GCM) wave functions for the evaluation of transition probabilities in heavy nuclei. We derive the relevant equations and discuss ways to cope with the technical difficulties which appear in the application of the theory. We show the feasibility of the method by applying it to the calculation of B(E3) transition probabilities in light nuclei within the GCM, in the gaussian overlap approximation (GOA). In the calculations we use the density-dependent Gogny force. The theoretical projected results are in much better agreement with experiment than the unprojected ones. (orig.)
The reduced transition probabilities for excited states of rare-earths and actinide even-even nuclei
Ghumman, S. S. [Department of Physics, Sant Longowal Institute of Engineering and Technology (Deemed University), Longowal, Sangrur-148106, Punjab, India s-ghumman@yahoo.com (India)
2015-08-28
The theoretical B(E2) ratios have been calculated on DF, DR and Krutov models. A simple method based on the work of Arima and Iachello is used to calculate the reduced transition probabilities within SU(3) limit of IBA-I framework. The reduced E2 transition probabilities from second excited states of rare-earths and actinide even–even nuclei calculated from experimental energies and intensities from recent data, have been found to compare better with those calculated on the Krutov model and the SU(3) limit of IBA than the DR and DF models.
2013-01-01
This paper is devoted to the investigation of the design of robust guaranteed cost observer for a class of linear singular Markovian jump time-delay systems with generally incomplete transition probability. In this singular model, each transition rate can be completely unknown or only its estimate value is known. Based on stability theory of stochastic differential equations and linear matrix inequality (LMI) technique, we design an observer to ensure that, for all uncertainties, the resultin...
Domínguez, Fernando; Platero, Gloria
2009-01-01
We apply an elementary measurement scheme to calculate the electronic triplet-singlet transition mediated by hyperfine interaction in a double quantum dot. We show how the local character of the hyperfine interaction and the nuclear back-action process (flip-flop) are crucial to cancel destructive interferences of the triplet-singlet transition probability. It is precisely this cancellation which differentiates the hyperfine interaction from an anisotropic magnetic field which mixes the tripl...
Pegg, D. J.; Elston, S. B.; Griffin, P. M.; Forester, J. P.; Thoe, R. S.; Peterson, R. S.; Sellin, I. A.; Hayden, H. C.
1976-01-01
The beam-foil time-of-flight method has been used to investigate radiative lifetimes and transition rates involving allowed intrashell transitions within the L shell of highly ionized sulfur. The results for these transitions, which can be particularly correlation-sensitive, are compared with current calculations based upon multiconfigurational models.
Critical Evaluation of Data on Atomic Energy Levels, Wavelengths, and Transition Probabilities
All modern concepts of implementation of thermonuclear fusion for energy production involve high- temperature plasmas confined by different methods. These plasmas generally contain impurities of multiple chemical elements in various stages of ionization. These impurities can be used to control and diagnose the plasma conditions. In both cases, extensive kinetic modeling is required in order to produce a predictable response of plasma parameters to changes in impurity contents and extract the plasma parameters from observed spectra. This implies that a large quantity of atomic data must be precisely known. One of the primary goals of the Atomic Spectroscopy Data Center of the National Institute of Standards and Technology (NIST) is to provide such critically evaluated data to the fusion research community. I will describe the methods we are using in this compilation process. Our procedure begins with an exhaustive review of the literature for relevant data. This process makes use of our online bibliographic databases. The critical assessment of atomic wavelengths and their energy- level classifications is based on level schemes and theoretical interpretations that have survived examinations for consistency (experimental, isoelectronic, theoretical). Reliable line classifications are thus a primary output of our evaluations of the laboratory data and analysis. We include leading eigenvector percentages for the energy levels, where available, and references to theoretical calculations in our level compilations. These give an immediate indication whether large deviations from, for example, Russell-Saunders multiplet intensities can be expected and serve as a guide to the theoretical literature. Calculations are used to help discriminate between possible contradictory line classifications. Our critical assessment of atomic transition probabilities follows a well-developed systematic approach. This is a key element of our work, since practically all calculated data - the
For Anderson localization on the Cayley tree, we study the statistics of various observables as a function of the disorder strength W and the number N of generations. We first consider the Landauer transmission TN. In the localized phase, its logarithm follows the traveling wave form TN≅(ln TN)-bar + ln t* where (i) the disorder-averaged value moves linearly (ln(TN))-bar≅-N/ξloc and the localization length diverges as ξloc∼(W-Wc)-νloc with νloc = 1 and (ii) the variable t* is a fixed random variable with a power-law tail P*(t*) ∼ 1/(t*)1+β(W) for large t* with 0 N are governed by rare events. In the delocalized phase, the transmission TN remains a finite random variable as N → ∞, and we measure near criticality the essential singularity (ln(T∞))-bar∼-|Wc-W|-κT with κT ∼ 0.25. We then consider the statistical properties of normalized eigenstates Σx|ψ(x)|2 = 1, in particular the entropy S = -Σx|ψ(x)|2ln |ψ(x)|2 and the inverse participation ratios (IPR) Iq = Σx|ψ(x)|2q. In the localized phase, the typical entropy diverges as Styp∼( W-Wc)-νS with νS 1.5, whereas it grows linearly as Styp(N) ∼ N in the delocalized phase. Finally for the IPR, we explain how closely related variables propagate as traveling waves in the delocalized phase. In conclusion, both the localized phase and the delocalized phase are characterized by the traveling wave propagation of some probability distributions, and the Anderson localization/delocalization transition then corresponds to a traveling/non-traveling critical point. Moreover, our results point toward the existence of several length scales that diverge with different exponents ν at criticality
Dudin, Alexander; Kim, Chesoong; Klimenok, Valentina
2008-01-01
In this paper we consider discrete-time multidimensional Markov chains having a block transition probability matrix which is the sum of a matrix with repeating block rows and a matrix of upper-Hessenberg, quasi-Toeplitz structure. We derive sufficient conditions for the existence of the stationary distribution, and outline two algorithms for calculating the stationary distribution.
K X-Ray Energies and Transition Probabilities for He-, Li- and Be-like Praseodymium ions
J. P. Santos; Costa, A. M.; Martins, M.C.; Indelicato, P.; Parente, F.
2011-01-01
Theoretical transition energies and probabilities for He-, Li- and Be-like Praseodymium ions are calculated in the framework of the multi-configuration Dirac-Fock method (MCDF), including QED corrections. These calculated values are compared to recent experimental data obtained in the Livermore SuperEBIT electron beam ion trap facility.
S Nasirimoghadam
2011-09-01
Full Text Available The ultracold atoms fermion gas such as 6Li undergo superfluidity state. The transport quantities of these fluids have a direct dependence on the transition probabilities. Here, by obtaining possible processes in p-wave superfluid, we have shown that only binary processes are dominate at low temperatures.
In this paper, by using the SO(6) representation of eigenstates and transitional Interacting Boson Model (IBM) Hamiltonian, the evolution from prolate to oblate shapes along the chain of Hg isotopes is studied. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are found to be in good agreement with experimental data for 200–204Hg isotopes which are supported to be located in this transitional region. (author)
Yanbo Li
2014-01-01
Full Text Available This paper is devoted to the investigation of the design of robust guaranteed cost observer for a class of linear singular Markovian jump time-delay systems with generally incomplete transition probability. In this singular model, each transition rate can be completely unknown or only its estimate value is known. Based on stability theory of stochastic differential equations and linear matrix inequality (LMI technique, we design an observer to ensure that, for all uncertainties, the resulting augmented system is regular, impulse free, and robust stochastically stable with the proposed guaranteed cost performance. Finally, a convex optimization problem with LMI constraints is formulated to design the suboptimal guaranteed cost filters for linear singular Markovian jump time-delay systems with generally incomplete transition probability.
Tomographic probability representation in the problem of transitions between the Landau levels
Zhebrak, E. D.
2012-01-01
The problem of moving of a charged particle in electromagnetic ?field is considered in terms of tomographic probability representation. The coherent and Fock states of a charge moving in varying homogeneous magnetic fi?eld are studied in the tomographic probability representation of quantum mechanics. The states are expressed in terms of quantum tomograms. The Fock state tomograms are given in the form of probability distributions described by multivariable Hermite polynomials with time-depen...
Probable metal-insulator transition in Ag{sub 4}SSe
Drebushchak, V.A., E-mail: dva@igm.nsc.ru [V.S. Sobolev Institute of Geology and Mineralogy, SB RAS, Pr. Ac. Koptyuga 3, Novosibirsk 630090 (Russian Federation); Novosibirsk State University, Ul. Pirogova 2, Novosibirsk 630090 (Russian Federation); Pal’yanova, G.A.; Seryotkin, Yu.V. [V.S. Sobolev Institute of Geology and Mineralogy, SB RAS, Pr. Ac. Koptyuga 3, Novosibirsk 630090 (Russian Federation); Novosibirsk State University, Ul. Pirogova 2, Novosibirsk 630090 (Russian Federation); Drebushchak, T.N. [Novosibirsk State University, Ul. Pirogova 2, Novosibirsk 630090 (Russian Federation); Institute of Solid State Chemistry and Mechanochemistry, SB RAS, Ul. Kutateladze 18, Novosibirsk 630128 (Russian Federation)
2015-02-15
Highlights: • New phase transition in Ag{sub 4}SSe was discovered with scanning calorimetry and supported with X-ray powder diffraction. • The thermal effect relates to the anomaly in electrical and thermal conductivity of Ag{sub 4}SSe. • Similar thermal and electrical effects in K{sub 3}Cu{sub 8}S{sub 6} are explained with the metal-insulator transition. - Abstract: New phase transition (285 K) in low-temperature monoclinic Ag{sub 4}SSe was found out below the α-β transition (358 K) after the measurements with differential scanning calorimetry. The transition reveals significant hysteresis (over 30 K). X-ray powder diffraction shows that the superlattice with doubled a and b parameters of the unit cell exists below the new transition point. The signs of this new phase transition can be found in thermal and electrical conductivity of Ag{sub 4}SSe published in literature. Elusive phase transition in Ag{sub 2}Se shows similar properties. The new transition is likely related to the metal-insulator type transition, like K{sub 3}Cu{sub 8}S{sub 6}.
The slater type radial wave functions of the 1S, 2S, and 2P orbitals have been employed in order to construct the hartree-fock (HF) wave functions of the ground states 1S2 2S2 2P for Si X, ph XI, S XII and C1 XIII of the boron iso-electronic sequence. The radial functions of the excited orbitals ns, np, and nf (n=3-5) have been optimized using the CIV3 code which uses the multi-configuration hartree-fock (MCHF) method in evaluating these functions. The wave functions thus obtained have been used in calculating energy levels, oscillator strengths and transition probabilities. The calculated energies (in au) relative to the ground state were in a good agreement with the available published experimental and theoretical values within the experimental error for all levels of the ions of the sequence except for the 3 p, 4 p, and 5 p levels of Si X, Ph XI, S XII and CI XIII. The deviation may be attributed to relativistic effects in case of highly ionized members of the sequence. The oscillator strengths for the allowed electric dipole transitions have been computed in dipole-length from by using the same code. The transition probabilities for spontaneous emission Aji (sec1) are calculated using the equation Aji=6.6 x 1015 gi fij / Lambda2 gj (sec1) where lambda is the wavelength of the transition (in A0) from state (i) to state (j) and gi. gj are the statistical weights for these states, fg is the oscillator strength of the transition. More over results of oscillator strengths and transition probabilities are found to be in a fairly good agreement with the available published experimental and theoretical values
Gonzalez, A. M.; Ortiz, M.; Campos, J.
1995-07-01
Absolute transition probabilities for lines of CR II, Na II and Sb I were determined by emission spectroscopy of laser induced plasmas. the plasma was produced focusing the emission of a pulsed Nd-Yag laser on solid samples containing the atom in study. the light arising from the plasma region was collected by and spectrometer. the detector used was a time-resolved optical multichannel analyzer (OMA III EG and G). The wavelengths of the measured transitions range from 2000 sto 4100 A. The spectral resolution of the system was 0. 2 A. The method can be used in insulators materials as Cl Na crystals and in metallic samples as Al-Cr and Sn-Sn alloys. to avoid self-absorption effects the alloys were made with low Sb or Cr content. Relative transition probabilities have been determined from measurements of emission-line intensities and were placed on an absolute scale by using, where possible, accurate experimental lifetime values form the literature or theoretical data. From these measurements, values for plasma temperature (8000-24000 K), electron densities ({approx}{approx} 10''16 cm ''-3) and self-absorption coefficients have been obtained. (Author) 56 refs.
The vibrational transition probability expressions for the forced Morse oscillator have been derived using the commutation relations of the anharmonic Boson operators. The formulation is based on the collinear collision model with the exponential repulsive potential in the framework of semiclassical collision dynamics. The sample calculation results for H2 + He collision system, where the anharmonicity is large, are in excellent agreement with those from an exact, numerical quantum mechanical study by Clark and Dickinson, using the reactance matrix. Our results,however, are markedly different from those of Ree, Kim, and Shin's in which they approximate the commutation operator Io as unity, the harmonic oscillator limit. We have concluded that the quantum number dependence in Io must be retained to get accurate vibrational transition probabilities for the Morse oscillator
Many ''sources'' of radioactive substances possess cylindrical geometry (waste drums for example) and gamma spectrometric detectors, as far as their active (selective) elements are concerned, are generally characterised by rotational symmetry about an axis. Such a situation may offer an analytical approach to the determination of the response of a cylindrical detector to a radiation produced homogeneously in a cylindrical emitter. Owing to the selective possibilities of spectrometry (in particular photoelectric effect) it is possible to reason purely in terms of transmission and absorption, which allows a formulation of the kind encountered in geometrical optics. In the present text we have developed the analytical expression beyond the limits from which most articles dealing with similar subjects have employed random sampling integration. Using a coaxial set-up in all cases, but with various relative dimensions of the right cylinder trunks (emitters and receivers), we have extracted fourfold definite integrals (with certain variable limits) giving the absolute and intrinsic efficiencies of which the ratios could be optimised by appropriate relative sizing of the right cylinder trunks (emission and detection)
Transition probabilities and Stark-broadening parameters of neutral and singly ionized lead
Miller, M. H.; Bengston, R. D.; Lindsay, J. M.
1979-01-01
Strengths and Stark widths of the prominent visible PbI and PbII lines are measured in emission by means of a gas-driven shock tube. Absolute ionic line strengths for 7s-7p and 7p-7d arrays conform well to quantum-mechanical sum rules and agree with theoretical predictions, but 6d-5f results differ markedly from central-field approximations. Neutral-line strengths agree satisfactorily with available comparison data. Semiempirical theory predicts the widths of PbII lines with characteristic reliability of better than 25%.
Time-resolved extreme ultraviolet spectra of foil-excited 120-MeV Br ions have been recorded, using a spectrometer equipped with a position-sensitive detector. The spectra near λ=20--30 nm were measured at times after excitation of up to 6 ns. Prominent in the delayed spectra were the long-lived decays of the intercombination transitions in the Mg-like Br23+ and Al-like Br22+ ions. The present paper reports on lifetime measurements for intercombination transitions in highly charged bromine ions using such a position-sensitive detector
Kastner, S. O.; Wade, C.
1974-01-01
The Coulomb approximation tables of Oertel and Shomo, together with binding-energy values obtained by a screening approximation, have been used to produce values of the dipole and quadrupole radial integrals needed in obtaining transition probabilities for ions of six, seven, and eight electrons. Some comparisons with more rigorously calculated values show that the present values are quite accurate, especially for ions of higher atomic number.
Frank T Denton; Byron G. Spencer
2014-01-01
[Background:] Surveys of chronic health conditions provide information about prevalence but not about the incidence and the process of change within the population. [Objective:] We show how the "age dynamics" of chronic conditions - the probabilities of contracting the conditions at different ages, of moving from one chronic conditions state to another, and of dying - can be inferred from prevalence data for those conditions that can be viewed as irreversible. [Methods:] Transition probabilit...
L2,3 subshell X-ray fluorescence yields and Coster-Kronig transition probabilities of Nd and Yb
X-ray spectra emitted in the radioactive decay of 17.7y 145Pm and 1.9y 171Tm were studied using a three-parameter technique for XX.t coincidence measurements. The following L2 and L3 subshell X-ray fluorescence yields, ω2, ω3, Coster-Kronig transition probabilities, f23, and radiative decay branching ratios, s2, s3, were determined for Nd (Z=60) and Yb (Z=70). (orig./WL)
In this paper we consider aperiodic ergodic Markov chains with transition probabilities exponentially small in a large parameter β. We extend to the general, not necessarily reversible case the analysis, started in part I of this work, of the first exit problem from a general domain Q containing many stable equilibria (attracting equilibrium points for the β = ∞ dynamics). In particular we describe the tube of typical trajectories during the first excursion outside Q
Luca Capriotti
2006-01-01
A computational technique borrowed from the physical sciences is introduced to obtain accurate closed-form approximations for the transition probability of arbitrary diffusion processes. Within the path integral framework the same technique allows one to obtain remarkably good approximations of the pricing kernels of financial derivatives. Several examples are presented, and the application of these results to increase the efficiency of numerical approaches to derivative pricing is discussed.
Lev Abolnikov
1991-01-01
Full Text Available A large class of Markov chains with so-called Δm,n-and Δ′m,n-transition matrices (delta-matrices which frequently occur in applications (queues, inventories, dams is analyzed.
Wavelengths, transition probabilities, and oscillator strengths have been calculated for M-shell electric dipole transitions in Co-, Ni-, Cu-, Zn-, Ga-, Ge-, and Se-like Au ions. The fully relativistic multiconfiguration Dirac–Fock method, taking quantum electrodynamical effects and the Breit correction into account, was used in the calculations. Calculated energy levels of M-shell excited states for Cu-, Zn-, Ga-, Ge-, and Se-like Au ions from the method were compared with available theoretical and experimental results, and good agreement with them was achieved
Stationary and Transition Probabilities in Slow Mixing, Long Memory Markov Processes
Asadi, Meysam; Torghabeh, Ramezan Paravi; Santhanam, Narayana P.
2013-01-01
We observe a length-$n$ sample generated by an unknown,stationary ergodic Markov process (\\emph{model}) over a finite alphabet $\\mathcal{A}$. Given any string $\\bf{w}$ of symbols from $\\mathcal{A}$ we want estimates of the conditional probability distribution of symbols following $\\bf{w}$, as well as the stationary probability of $\\bf{w}$. Two distinct problems that complicate estimation in this setting are (i) long memory, and (ii) \\emph{slow mixing} which could happen even with only one bit...
E2 transition probability and effective charge for the neutron i 13/2 subshell in lead isotopes
In (heavy ion, xn) reactions, X rays and low energy γ rays emitted by the compound nuclei are investigated using a catcher system for recoiling nuclei within the 10-100 keV energy range. 198Pb is studied by means of this technique. A 90 keV E2 (or E2+M1) transition is pointed out together with informations related to the 12+→10+ E2 transition energy. B(E2 ; 12+→10+) is deduced. The effective charge extracted from the analysis of the reduced transition probability between two members of the (νi13/2)-2 multiplet is compared to the corresponding values for other lead isotopes
Theoretical transition probabilities between the lowest 2S, 2P and 2D states of Na, K, Rb and Cs
Langhoff, S. R.; Bauschlicher, C. W., Jr.; Partridge, H.
1985-01-01
Theoretical transition probabilities between the lowest 2S, 2P and 2D states of the alkali atoms Na through Cs have been computed using near Hartree-Fock quality Slater basis sets. The important core-valence correlation effects are incorporated explicitly by a configuration-interaction procedure. For Cs, the calculations were repeated using a Gaussian basis set so that relativistic effects could be incorporated through an effective core potential procedure. The best calculated electric quadrupole Einstein coefficients are Na(196.3/s), K(103.6/s), Rb(72.4/s) and Cs(19.7/s). Core-valence effects become increasingly important down the column, and reduce the quadrupole transition strengths to about the same degree as for the 2P-2S and 2D-2P dipole-allowed transitions. Relativistic effects increase the quadrupole moment of Cs, but less so than in Ba, presumably because the alkali 2D states are more diffuse.
Forbidden Transition Probabilities of Astrophysical Interest among Low-lying States of V III
Andrei Irimia
2007-06-01
Electric and magnetic multipole transitions among low-lying states of doubly ionized vanadium were computed using the multi-configuration Hartree–Fock (MCHF) method with Breit–Pauli (BP) corrections to a non-relativistic Hamiltonian. Energy levels were determined up to and including 32(1)4 b 27/2 and computed energies were found to be in good agreement with experiment and other theories. In addition to Einstein coefficients for some E2 and M1 transitions, lifetime data and selected weighted oscillator strengths are also reported.
Parametrization of 5f-5f transition probabilities between Stark levels of U3+ in LiYF4
In order to simulate intensities of the 5f-5f transitions of U3+ in LiYF4, we applied the Judd-Ofelt theory. Because of the large crystal-field splitting of the J-multiplets in the actinides, a set of phenomenological intensity parameters Bλkq is introduced to describe the transition probabilities between the crystal-field sublevels of U3+. The intensities of the absorption transitions between the crystal field levels calculated and a set of six phenomenological intensity parameters give a rather good simulation of the experimental intensities, and the applicability of the Judd-Ofelt theory is discussed for the 5f → 5f transitions of the actinides. From these values, the oscillator strengths between the excited states involved in the laser transition 4I11/2 → 4I9/2 are calculated and the corresponding radiative lifetime is compared to the experimental one. Moreover, a comparison between the actinide ion U3+ (5f3) and the lanthanide ions Nd3+ (4f3) and Er3+ (4f11) in LiYF4 is made. (orig.)
E1 transition probabilities from K/sup π/ = 0- and K/sup π/ = 1- states of 238Pu
Levels of 238Pu were studied in the β- decay of 238Np and the α decay of 242Cm. Thirteen γ-ray transitions were observed for the first time, and additional information about multipolarities and mixing ratios was obtained. An analysis of the γ-ray branching ratios gives a measure of the E1 transition probabilities between octupole-vibrational states and the ground-state band, corresponding to F/sub W/ = 4.3 x 104 for ΔK = 1 transitions and F/sub W/ = 1.5 x 104 for ΔK = 0. The latter transitions are three orders of magnitude faster than those that occur in the isotone 236U, for which F/sub W/(ΔK = 0) = 2.2 x 107, from a direct measurement of the half-life of the 0,1- state. Estimates of the hindrance factors for E1 transitions from octupole states in other heavy nuclei are given, and the validity of the calculations on which they are based is discussed
Smith, Steven J.; Man, K.-F.; Chutjian, A.; Mawhorter, R. J.; Williams, I. D.
1991-01-01
Absolute cascade-free excitation cross-sections in an ion have been measured for the resonance 2S to 2P transition in Zn(+) using electron-energy-loss and merged electron-ion beams methods. Measurements were carried out at electron energies of below threshold to 6 times threshold. Comparisons are made with 2-, 5-, and 15-state close-coupling and distorted-wave theories. There is good agreement between experiment and the 15-state close-coupling cross-sections over the energy range of the calculations.
Shimada, Mitsuhiro; Watanabe, Shin; Tagami, Shingo; Matsumoto, Takuma; Shimizu, Yoshifumi R.; Yahiro, Masanobu
2016-06-01
We perform simultaneous analysis of (1) matter radii, (2) B (E 2 ;0+→2+) transition probabilities, and (3) excitation energies, E (2+) and E (4+) , for Mg-4024 by using the beyond-mean-field (BMF) framework with angular-momentum-projected configuration mixing with respect to the axially symmetric β2 deformation with infinitesimal cranking. The BMF calculations successfully reproduce all of the data for rm,B (E 2 ) , and E (2+) and E (4+) , indicating that it is quite useful for data analysis; particularly for low-lying states. We also discuss the absolute value of the deformation parameter β2 deduced from measured values of B (E 2 ) and rm. This framework makes it possible to investigate the effects of β2 deformation, the change in β2 due to restoration of rotational symmetry, β2 configuration mixing, and the inclusion of time-odd components by infinitesimal cranking. Under the assumption of axial deformation and parity conservation, we clarify which effect is important for each of the three measurements and propose the kinds of BMF calculations that are practical for each of the three kinds of observables.
Shimada, Mitsuhiro; Tagami, Shingo; Matsumoto, Takuma; Shimizu, Yoshifumi R; Yahiro, Masanobu
2016-01-01
We perform simultaneous analysis of (1) matter radii, (2) $B(E2; 0^+ \\rightarrow 2^+ )$ transition probabilities, and (3) excitation energies, $E(2^+)$ and $E(4^+)$, for $^{24-40}$Mg by using the beyond mean-field (BMF) framework with angular-momentum-projected configuration mixing with respect to the axially symmetric $\\beta_2$ deformation with infinitesimal cranking. The BMF calculations successfully reproduce all of the data for $r_{\\rm m}$, $B(E2)$, and $E(2^+)$ and $E(4^+)$, indicating that it is quite useful for data analysis, particularly for low-lying states. We also discuss the absolute value of the deformation parameter $\\beta_2$ deduced from measured values of $B(E2)$ and $r_{\\rm m}$. This framework makes it possible to investigate the effects of $\\beta_2$ deformation, the change in $\\beta_2$ due to restoration of rotational symmetry, $\\beta_2$ configuration mixing, and the inclusion of time-odd components by infinitesimal cranking. Under the assumption of axial deformation and parity conservation,...
Pandey, A.; Kumar, P.; Banerjee, S. B.; Subramanian, K. P.; Bapat, B.
2016-04-01
We present an experimental and computational analysis of dissociative double ionization of N2 and CO molecules under electron impact. Experiments are performed at three energies, viz. 1, 3, and 5 keV, in order to observe the effect of impact energy on the dissociative ionization kinematics. We compare the kinetic energy release (KER) distributions of the charge symmetric dissociation channels of N22 + and CO2 + at these impact energies. An approximately linear trend between the transition energy and the expected KER values is inferred on the basis of the calculated potential energy curves of the dications. Experimentally, the normalized differential KER cross sections for these channels show an increasing trend in the low KER range and a decreasing trend in the high KER range as the electron-impact energy is increased. This observation indicates that the transition probability for excitation to different molecular ion states is not only a function of energy difference between the ground and excited states, but also a complicated function of the impact energy. In addition, nature of the observed trend in the differential KER cross sections differs significantly from their differential transition probability, which are calculated using inelastic collision model for fast-electron-impact case.
Patient Education and Support During CKD Transitions: When the Possible Becomes Probable.
Green, Jamie A; Boulware, L Ebony
2016-07-01
Patients transitioning from kidney disease to kidney failure require comprehensive patient-centered education and support. Efforts to prepare patients for this transition often fail to meet patients' needs due to uncertainty about which patients will progress to kidney failure, nonindividualized patient education programs, inadequate psychosocial support, or lack of assistance to guide patients through complex treatment plans. Resources are available to help overcome barriers to providing optimal care during this time, including prognostic tools, educational lesson plans, decision aids, communication skills training, peer support, and patient navigation programs. New models are being studied to comprehensively address patients' needs and improve the lives of kidney patients during this high-risk time. PMID:27324676
On the Gauge Invariance of The Transition Probability of A Charged Particle in Electromagnetic Field
QIANShang－Wu; GUZhi－Yu
2002-01-01
This paper suggests a principle to find a unitary operator U which transforms non-hysical quantity,zero-potential Hamiltonian H0,into true physical quantity UH0U for a charged particle in classical electromagnetic field,and puts forward a unified form of constructing gauge-independent transition probabilitites in this case.Different methods correspond to different unitary operators which satisfy the above-mentioned principle.
Large-scale Breit-Pauli R-matrix calculations for transition probabilities of Fe V
Nahar, Sultana N.; Pradhan, Anil K.
2000-01-01
Ab initio theoretical calculations are reported for the electric (E1) dipole allowed and intercombination fine structure transitions in Fe V using the Breit-Pauli R-matrix (BPRM) method. We obtain 3865 bound fine structure levels of Fe V and $1.46 x 10^6$ oscillator strengths, Einstein A-coefficients and line strengths. In addition to the relativistic effects, the intermediate coupling calculations include extensive electron correlation effects that represent the complex configuration interac...
Local neighborhood transition probability estimation and its use in contextual classification
Chittineni, C. B.
1979-01-01
The problem of incorporating spatial or contextual information into classifications is considered. A simple model that describes the spatial dependencies between the neighboring pixels with a single parameter, Theta, is presented. Expressions are derived for updating the posteriori probabilities of the states of nature of the pattern under consideration using information from the neighboring patterns, both for spatially uniform context and for Markov dependencies in terms of Theta. Techniques for obtaining the optimal value of the parameter Theta as a maximum likelihood estimate from the local neighborhood of the pattern under consideration are developed.
Laser-induced photoionization and fluorescence signals were simultaneously observed in atomic samarium using Nd:YAG-pumped dye lasers. Two-color, three-photon photoionization and two-color fluorescence signals were recorded simultaneously as a function of the second-step laser power for two photoionization pathways. The density matrix formalism has been employed to analyze these signals. Two-color laser-induced fluorescence signal depends on the laser powers used for the first and second-step transitions as well as the first and second-step transition probability whereas two-color, three-photon photoionization signal depends on the third-step transition cross-section at the second-step laser wavelength along with the laser powers and transition probability for the first and second-step transitions. Two-color laser-induced fluorescence was used to measure the second-step transition probability. The second-step transition probability obtained was used to infer the photoionization cross-section. Thus, the methodology combining two-color, three-photon photoionization and two-color fluorescence signals in a single experiment has been established for the first time to measure the second-step transition probability as well as the photoionization cross-section. - Highlights: • Laser-induced photoionization and fluorescence signals have been simultaneously observed. • The density matrix formalism has been employed to analyze these signals. • Two-color laser-induced fluorescence was used to measure the second-step transition probability. • The second-step transition probability obtained was used to infer the photoionization cross-section. • Transition probability and photoionization cross-section have been measured in a single experiment
Chen, Y. Z.; Prohofsky, E W
1993-01-01
We calculate room temperature thermal fluctuational base pair opening probabilities of B and Z DNA Poly[d(G-C)] at various salt concentrations and discuss the significance of thermal fluctuation in facilitating base pair disruption during B to Z transition. Our calculated base pair opening probability of the B DNA at lower salt concentrations and the probability of the Z DNA at high salt concentrations are in agreement with observations. The salt dependence of the probabilities indicates a B ...
Pettersen, C.; Best, F. A.; Adler, D. P.; Aguilar, D. M.; Perepezko, J. H.
2012-12-01
The next generation of infrared remote sensing missions, including the climate benchmark missions, will require better absolute measurement accuracy than now available, and will most certainly rely on the emerging capability to fly SI traceable standards that provide irrefutable absolute measurement accuracy. As an example, instrumentation designed to measure spectrally resolved infrared radiances with an absolute brightness temperature error of better than 0.1 K will require high-emissivity (>0.999) calibration blackbodies requiring absolute temperature uncertainties of better than 0.045K (k=3). Key elements of an On-Orbit Absolute Radiance Standard (OARS) meeting these stringent requirements have been demonstrated in the laboratory at the University of Wisconsin and were further refined under the NASA Instrument Incubator Program (IIP). In particular, the OARS has imbedded thermistors that can be periodically calibrated on-orbit using the melt signatures of small quantities (technology for on-orbit application is a demonstration of performance in microgravity to be conducted on the International Space Station (ISS). This demonstration will make use of an Experiment Support Package developed by Utah State Space Dynamics Laboratory to continuously run melt cycles on miniature phase change cells containing gallium, a gallium-tin eutectic, and water. The phase change cells will be mounted in a small aluminum block along with a thermistor temperature sensor. A thermoelectric cooler will be used to change the temperature of the block. The demonstration will use the configuration of the phase transition cells developed under our NASA IIP that has been tested extensively in the laboratory under simulated mission life cycle scenarios - these included vibration, thermal soaks, and deep cycling. Melt signatures obtained on orbit will be compared to those recorded on the ground to validate that the melt behavior of the three phase change materials is unaltered in the
Bounds on long-baseline nu_e->nu_e and nu_mu->nu_e transition probabilities
Bilenky, S. M.; Giunti, C.; W. Grimus(University of Vienna, Faculty of Physics, Boltzmanngasse 5, A-1090 Vienna, Austria)
1997-01-01
We discuss long-baseline neutrino oscillations in the framework of the two 4-neutrino schemes which can accommodate all existing neutrino oscillation data. Negative results of short-baseline reactor and accelerator experiments allow to obtain rather strong bounds on the long-baseline nu_e->nu_e and nu_mu->nu_e transition probabilities. We consider in detail matter effects and show that the vacuum bounds are not substantially modified. We also comment on corresponding bounds in 3-neutrino scen...
We consider an oscillator subjected to a sudden change in equilibrium position or in effective spring constant, or both-to a squeeze in the language of quantum optics. We analyze the probability of transition from a given initial state to a final state, in its dependence on final-state quantum number. We make use of five sources of insight: Bohr-Sommerfeld quantization via bands in phase space, area of overlap between before-squeeze band and after-squeeze band, interference in phase space, Wigner function as quantum update of B-S band and near-zone Fresnel diffraction as mockup Wigner function
Kessler, Timo Christian; Nilsson, Bertel; Klint, Knud Erik;
2010-01-01
of sand-lenses in clay till. Sand-lenses mainly account for horizontal transport and are prioritised in this study. Based on field observations, the distribution has been modeled using two different geostatistical approaches. One method uses a Markov chain model calculating the transition probabilities...... the geology of e.g. a contaminated site, it is not always possible to gather enough information to build a representative geological model. Mapping in analogue geological settings and applying geostatistical tools to simulate spatial variability of heterogeneities can improve ordinary geological models...
Costa, A M; Santos, J P; Indelicato, P J; Parente, F; Indelicato, Paul
2006-01-01
Energies and transition probabilities of K$\\beta$ hypersatellite lines are computed using the Dirac-Fock model for several values of $Z$ throughout the periodic table. The influence of the Breit interaction on the energy shifts from the corresponding diagram lines and on the K$\\beta\\_{1}^{\\rm h}$/K$\\beta\\_{3}^{\\rm h}$ intensity ratio is evaluated. The widths of the double-K hole levels are calculated for Al and Sc. The results are compared to experiment and to other theoretical calculations.
Transition probability values of the 1s22s3p 3P0 level in Be-like ions
Transition probability values from the 1s22s3p 3P0 level for selected beryllium-like ions, from Z = 5 to 92, are calculated using the multi-configuration Dirac–Fock method including QED corrections, and full correlation up to the 4f subshell in both initial and final levels, for 1s22s3s 3S1, 1s22s2p 3P2 level and 1s22p23P1 decay modes of this level. (paper)
Li Liang
2014-01-01
Full Text Available This paper is concerned with the problem of finite-time boundedness for a class of delayed Markovian jumping neural networks with partly unknown transition probabilities. By introducing the appropriate stochastic Lyapunov-Krasovskii functional and the concept of stochastically finite-time stochastic boundedness for Markovian jumping neural networks, a new method is proposed to guarantee that the state trajectory remains in a bounded region of the state space over a prespecified finite-time interval. Finally, numerical examples are given to illustrate the effectiveness and reduced conservativeness of the proposed results.
We have started a systematic investigation of the radiative properties of the elements of the sixth row of the periodic table. Using a combination of experimental radiative lifetimes obtained with the time-resolved laser-induced fluorescence (LIF) technique and of theoretical branching fractions (BF) calculated with a HFR approach taking configuration interaction and core-polarization effects into account, transition probabilities have been deduced for a number of transitions of astrophysical interest. So far results have been obtained for the elements Ta, Re, Os, Ir, Tl or Au or their ions. The results obtained are stored in the database DatabasE for the SIxth Row Elements (DESIRE), an extension of the database DREAM, which will be progressively created on a web site of the University of Mons-Hainaut in Belgium. In the present paper, some emphasis is put on the procedures followed to obtain the new results but also on the difficulties associated with their determination
Cluster-shell competition and its effect on the $E0$ transition probability in $^{20}$Ne
Itagaki, N
2016-01-01
$^{20}$Ne has been known as a typical example of a nucleus with $\\alpha$ cluster structure ($^{16}$O+$\\alpha$ structure). However according to the spherical shell model, the spin-orbit interaction acts attractively for four nucleons outside of the $^{16}$O core, and this spin-orbit effect cannot be taken into account in the simple $\\alpha$ cluster models. We investigate how the $\\alpha$ cluster structure competes with independent particle motions of these four nucleons. The antisymmetrized quasi-cluster model (AQCM) is a method to describe a transition from the $\\alpha$ cluster wave function to the $jj$-coupling shell model wave function. In this model, the cluster-shell transition is characterized by only two parameters; $R$ representing the distance between clusters and $\\Lambda$ describing the breaking of $\\alpha$ clusters, and the contribution of the spin-orbit interaction, very important in the $jj$-coupling shell model, can be taken into account by changing $\\alpha$ clusters to quasi clusters. In this a...
Triaxial projected shell model study of transition probabilities for 134Pr nucleus
The quest to establish stable triaxial shapes in nuclei is being pursued with keen interest during the last about half-a-century. In the initial phases for it, the structures of energy levels at relatively low angular momenta were considered. Generally, the deviations from axially symmetric shape are expected at high spins since the rotational effects are strong for high-j orbitals. The loss of axial symmetry affects a number of observables. For a nucleus having a stable triaxial shape, different moments of inertia are associated with each of the principal axes and the rotational motion is possible about all the three axes. Therefore, the rotational spectra are expected to be richer for stable triaxial nuclei as compared to that for axially symmetric deformed nuclei. There are several empirical observations indicating that axial symmetry is broken in transitional regions and therefore the nuclei in these regions have triaxial shapes
The model of a level crossing with a Coulomb band: exact probabilities of nonadiabatic transitions
We derive an exact solution of an explicitly time-dependent multichannel model of quantum mechanical nonadiabatic transitions. Our model corresponds to the case of a single linear diabatic energy level interacting with a band of an arbitrary N states, for which the diabatic energies decay with time according to the Coulomb law. We show that the time-dependent Schrödinger equation for this system can be solved in terms of Meijer functions whose asymptotics at a large time can be compactly written in terms of elementary functions that depend on the roots of an Nth order characteristic polynomial. Our model can be considered a generalization of the Demkov–Osherov model. In comparison to the latter, our model allows one to explore the role of curvature of the band levels and diabatic avoided crossings. (paper)
Proton configuration dependence of neutron alignments and transition probabilities in 165Lu
High-spin states in 165Lu have been populated in the 153Eu(160,4n) reaction. An excitation function measurement was made to assign correct γ-rays to transitions in 165Lu. A level scheme is constructed from the studies of γ-γ coincidences, and the measurement of γ-ray angular distributions. Nine decay sequences are assigned to γLu. At low-spin these sequences are identified with the 5/2+(402), 1/2+(411), 1/2-(541), 7/2+(404) and 9/2-(514) Nilsson states. The crossing frequencies are determined and the variation in the crossing frequency is discussed. ΔI = 1 transtions observed between the favoured and unfavoured decay sequences of four of the five configurations, are also discussed. (author)
Smith, P. L.; Johnson, B. C.; Kwong, H. S.; Parkinson, W. H.; Knight, R. D.
1984-01-01
The intensities of ultraviolet, spin-changing, 'intersystem' lines of low-Z atomic ions are frequently used in determinations of electron densities and temperatures in astrophysical plasmas as well as in measurements of element abundances in the interstellar gas. The transition probabilities (A-values) of these lines, which are about five orders of magnitude weaker than allowed lines, have not been measured heretofore and various calculations produce A-values for these lines that differ by as much as 50 percent A radio-frequency ion trap has been used for the first measurements of transition probabilities for intersystem lines seen in astronomical spectra. The measurement procedure is discussed and results for Si III, O III, N II, and C III are reviewed and compared to calculated values. Discrepancies exist; these indicate that some of the calculated A-values may be less reliable than has been beleived and that revisions to the electron densities determined for some astrophysical plasmas may be required.
The electron excited ultraviolet spectrum of HD : cross sections and transition probabilities
Ajello, Joseph; Palle, Prahlad Vatti; Abgrall, Herve'; Roueff, Evelyne; Bhardwaj, Anil; Gustin, Jacques
2005-01-01
We have analyzed the high-resolution ultraviolet (UV) emission spectrum of molecular deuterium hydride (HD) excited by electron impact at 100 eV under optically thin, single-scattering experimental conditions. The high-resolution spectrum (FWHM=160 mA) spans the wavelength range from 900 to 1650 A and contains the two Rydberg series of HD: (sup 1)Sigma(sub u)(sup +)1s(sigma), np(si n=2, 3, 4) --> X(sup 1)Sigma(sub g)(sup +) and (sup 1)Pi(sub u)(sup +)1s(sigma), np(pi)(C,D,D',D'', n=2, 3, 4, 5) -->X(sup 1)Sigma(sub g)(sup +). A model spectrum of HD, based on newly calculated tra rovibrational coupling for the strongest band systems, B (sup 1)Sigma(sub u)(sup +)-X(sup 1)Sigma(sub g)(sup +),B'(sup 1)Sigma(sub g)(sup +)-X(sup 1)Sigma(sub g)(sup +),C(sup 1)Pi(sub u)-X(sup 1)Sigm sections for direct excitation at 100 eV of the B (sup 1)Sigma(sub u)(sup +), B' (sup 1)Sigma(sub u)(sup +), C(sup 1)Pi(sub u), and D(sup 1)Pi(sub u) states were derived from a model analysis of the state. The absolute cross section values for excitation to the B (sup 1)Sigma(sub u)(sup +), B' (sup 1)Sigma(sub u)(sup +), C(sup 1)Pi(sub u), and D(sup 1)Pi(sub u) states were found to be (2.57+/-0. and (0.17+/-0.04)x10(exp -17) sq cm, respectively. We have also determined the dissociative excitation cross sections at 100 eV for the emission of Ly(alpha) at 1216 A and Ly(Beta) at 1025 A lines, which are (7.98+/-1.12)x10(exp -18) and (0.40+/-0.10)x10(exp -18) sq cm, respectively. The summed excitation function of the closely spaced pair of lines, H Ly(alpha) and D Ly(Beta), resulting from excitation of HD, has been measured from the threshold to 800 eV and is analytically modeled with a semiempirical relation. The model cross sections are in good agreement with the corrected Ly(alpha) cross sections of Mohlmann et al. up to 2 keV. Based on measurements of H, D (2s) production cross section values by Mohlmann et al., the H, D (n=2) cross section is estimated to be 1.6 x 10(exp -17) sq cm at 100 eV.
Cost Probability Analysis of China's Nuclear Fuel Cycle Transition
The Chinese government has already determined to develop the closed nuclear fuel cycle, its long-term roadmap of spent fuel management has not been decided yet. Currently, it seems that China's booming economy gives abundant financial assurance to develop nuclear programs in full play according to its near-term national plans. However, the viability and sustainability of nuclear power always depends critically on its economics. Therefore, it is necessary to conduct a well focused cost-benefit and objective analysis of China's ongoing nuclear power programs with the future prospects. In this study, we conduct a comparative analysis of electricity generation cost in four reference nuclear fuel cycle transition scenarios by 2050. Direct disposal is assumed to produce the cheapest LCT as low as 62.688 mills/kWh compared to the other options. However, after performing a relative uncertainty study, the results show that the capital cost of reactor is the key cost component which leads to the cost gap
Xingang Zhao; Jianda Han; Yiwen Zhao
2015-01-01
This paper is concerned with the stability analysis of discrete-time Markov jump linear systems (MJLSs) with time-varying delay and partly known transition probabilities. The time delay is varying between lower and upper bounds, and the partly known transition probabilities cover the cases of known, uncertain with known lower and upper bounds, and completely unknown, which is more general than the existing result. Via constructing an appropriate Lyapunov function and employing a new technique...
Lawler, J. E.; Sneden, C.; Cowan, J. J.; Wyart, J. -F.; Ivans, I. I.; Sobeck, J. S.; Stockett, M. H.; Hartog, E.A. den
2008-01-01
Recent radiative lifetime measurements accurate to +/- 5% (Stockett et al. 2007, J. Phys. B 40, 4529) using laser-induced fluorescence (LIF) on 8 even-parity and 62 odd-parity levels of Er II have been combined with new branching fractions measured using a Fourier transform spectrometer (FTS) to determine transition probabilities for 418 lines of Er II. This work moves Er II onto the growing list of rare earth spectra with extensive and accurate modern transition probability measurements usin...
Mughal, Muhammad Aurang Zeb
2009-01-01
The concept of absolute time is a hypothetical model from the laws of classical physics postulated by Isaac Newton in the Principia in 1687. Although the Newtonian model of absolute time has since been opposed and rejected in light of more recent scholarship, it still provides a way to study science with reference to time and understand the phenomena of time within the scientific tradition. According to this model, it is assumed that time runs at the same rate for all the observers in the uni...
Tang, Yinan; Chen, Ping
2014-06-01
The sub-prime crisis in the U.S. reveals the limitation of diversification strategy based on mean-variance analysis. A regime switch and a turning point can be observed using a high moment representation and time-dependent transition probability. Up-down price movements are induced by interactions among agents, which can be described by the birth-death (BD) process. Financial instability is visible by dramatically increasing 3rd to 5th moments one-quarter before and during the crisis. The sudden rising high moments provide effective warning signals of a regime-switch or a coming crisis. The critical condition of a market breakdown can be identified from nonlinear stochastic dynamics. The master equation approach of population dynamics provides a unified theory of a calm and turbulent market.
Li, Hui; Dulieu, Olivier; Nascimbene, Sylvain; Lepers, Maxence
2016-01-01
The efficiency of optical trapping of ultracold atoms depend on the atomic dynamic dipole polarizability governing the atom-field interaction. In this article, we have calculated the real and imaginary parts of the dynamic dipole polarizability of dysprosium in the ground and first excited level. Due to the high electronic angular momentum of those two states, the polarizabilities possess scalar, vector and tensor contributions that we have computed, on a wide range of trapping wavelengths, using the sum-over-state formula. Using the same formalism, we have also calculated the $C_6$ coefficients characterizing the van der Waals interaction between two dysprosium atoms in the two lowest levels. We have computed the energies of excited states and the transition probabilities appearing in the sums, using a combination of \\textit{ab initio} and least-square-fitting techniques provided by the Cowan codes and extended in our group. Regarding the real part of the polarizability, for field frequencies far from atomic...
Vasilyev, A. A.; Savukov, I. M.; Safronova, M. S.; Berry, H.G.
2001-01-01
We have measured the 6s - 7p_{1/2,3/2} transition probabilities in atomic cesium using a direct absorption technique. We use our result plus other previously measured transition rates to derive an accurate value of the vector transition polarizability \\beta and, consequently, re-evaluate the weak charge Q_W. Our derived value Q_W=-72.65(49) agrees with the prediction of the standard model to within one standard deviation.
Vilkas, M J; Ishikawa, Y; Trabert, E
2007-03-27
Relativistic multireference many-body perturbation theory calculations have been performed on Xe{sup 43+}-Xe{sup 39+} ions, resulting in energy levels, electric dipole transition probabilities, and level lifetimes. The second-order many-body perturbation theory calculation of energy levels included mass shifts, frequency-dependent Breit correction and Lamb shifts. The calculated transition energies and E1 transition rates are used to present synthetic spectra in the extreme ultraviolet range for some of the Xe ions.
Costa, Carlos Casimiro da; Costa, Jacinta Casimiro da
2012-01-01
Tomorrow, I m recovering my Thursday child as an absolute beginner , Transporting you to the essential touch of surface skin and space, Only for you, i do not regret, looking for education in a materia set. My love is your love , my materiality is you making things, The legacy of our ethnography, craftsmen s old and disappear, make me strong hard feelings, Recovering experiences and knowledge sprinkled in powder of stone, wood and metal ( ) reflecting in your dirty face the ...
Energy levels, oscillator strengths, and transition probabilities for transitions among the 14 LS states belonging to configurations of sulfur-like iron, Fe XI, have been calculated. These states are represented by configuration interaction wavefunctions and have configurations 3s23p4, 3s3p5, 3s23p33d, 3s23p34s, 3s23p34p, and 3s23p34d, which give rise to 123 fine-structure energy levels. Extensive configuration interaction calculations using the CIV3 code have been performed. To assess the importance of relativistic effects, the intermediate coupling scheme by means of the Breit–Pauli Hamiltonian terms, such as the one-body mass correction and Darwin term, and spin–orbit, spin–other-orbit, and spin–spin corrections, are incorporated within the code. These incorporations adjusted the energy levels, therefore the calculated values are close to the available experimental data. Comparisons between the present calculated energy levels as well as oscillator strengths and both experimental and theoretical data have been performed. Our results show good agreement with earlier works, and they might be useful in thermonuclear fusion research and astrophysical applications. -- Highlights: •Accurate atomic data of iron ions are needed for identification of solar corona. •Extensive configuration interaction wavefunctions including 123 fine-structure levels have been calculated. •The relativistic effects by means of the Breit–Pauli Hamiltonian terms are incorporated. •This incorporation adjusts the energy levels, therefore the calculated values are close to experimental values
Phillips, Alfred, Jr.
Summ means the entirety of the multiverse. It seems clear, from the inflation theories of A. Guth and others, that the creation of many universes is plausible. We argue that Absolute cosmological ideas, not unlike those of I. Newton, may be consistent with dynamic multiverse creations. As suggested in W. Heisenberg's uncertainty principle, and with the Anthropic Principle defended by S. Hawking, et al., human consciousness, buttressed by findings of neuroscience, may have to be considered in our models. Predictability, as A. Einstein realized with Invariants and General Relativity, may be required for new ideas to be part of physics. We present here a two postulate model geared to an Absolute Summ. The seedbed of this work is part of Akhnaton's philosophy (see S. Freud, Moses and Monotheism). Most important, however, is that the structure of human consciousness, manifest in Kenya's Rift Valley 200,000 years ago as Homo sapiens, who were the culmination of the six million year co-creation process of Hominins and Nature in Africa, allows us to do the physics that we do. .
Fonseca, Katia Aparecida
1997-07-01
The accurate knowledge of the gamma-ray emission probability per decay of radionuclides is important in several applications. In the case of {sup 126} I, its importance lies mainly in fast neutron dosimetry as well as in the production of {sup 125} I where {sup 126} I appears as an impurity. In the present work the gamma-ray emission probabilities per decay for the 388 and 666-KeV transitions of {sup 126} I have been measured. This radionuclide was obtained by means of the {sup 127} I(n, 2n){sup 126} I reaction in a fast neutron flux at the IPEN 2 MW research reactor. The methodology for the primary standardization of {sup 126} I is described. For this purpose, two different coincidence systems were used due to the complex decay scheme of this radionuclide. The {beta}branch measurement was carried out in a 4 {pi}(PC){beta}-{gamma} coincidence system consisting of a proportional counter, coupled to a pair of 3'x3' Na I (Tl) crystal. The electron capture branch was measured in a X-{gamma} coincidence system using two NaI(Tl) crystals. The gamma-ray measurements were performed in a HPGe system, previously calibrated by means of standard sources supplied by the International Atomic Energy Agency. All the uncertainties evolved were treated rigorously, by means of covariance analysis. (author)
Transition probability from the ground to the first-excited 2+ state of even-even nuclides
Adopted values for the reduced electric quadrupole transition probability, B(E2)↑, from the ground state to the first-excited 2+ state of even-even nuclides are given in Table I. Values of τ, the mean life of the 2+ state; E, the energy; and β, the quadrupole deformation parameter, are also listed there. The ratio of β to the value expected from the single-particle model is presented. The intrinsic quadrupole moment, Q0, is deduced from the B(E2)↑ value. The product ExB(E2)↑ is expressed as a percentage of the energy-weighted total and isoscalar E2 sum-rule strengths. Table II presents the data on which Table I is based, namely the experimental results for B(E2)↑ values with quoted uncertainties. Information is also given on the quantity measured and the method used. The literature has been covered to November 2000. The adopted B(E2)↑ values are compared in Table III with the values given by systematics and by various theoretical models. Predictions of unmeasured B(E2)↑ values are also given in Table III
Hartman, H.; Nilsson, H.; Engström, L.; Lundberg, H.
2015-12-01
We report lifetime measurements of the 6 levels in the 3d6(5D)4d e6G term in Fe ii at an energy of 10.4 eV, and f-values for 14 transitions from the investigated levels. The lifetimes were measured using time-resolved laser-induced fluorescence on ions in a laser-produced plasma. The high excitation energy, and the fact that the levels have the same parity as the the low-lying states directly populated in the plasma, necessitated the use of a two-photon excitation scheme. The probability for this process is greatly enhanced by the presence of the 3d6(5D)4p z6F levels at roughly half the energy difference. The f-values are obtained by combining the experimental lifetimes with branching fractions derived using relative intensities from a hollow cathode discharge lamp recorded with a Fourier transform spectrometer. The data is important for benchmarking atomic calculations of astrophysically important quantities and useful for spectroscopy of hot stars.
Hartman, H; Engström, L; Lundberg, H
2015-01-01
We report lifetime measurements of the 6 levels in the 3d6(5D)4d e6G term in Fe ii at an energy of 10.4 eV, and f -values for 14 transitions from the investigated levels. The lifetimes were measured using time-resolved laser-induced fluorescence on ions in a laser-produced plasma. The high excitation energy, and the fact that the levels have the same parity as the the low-lying states directly populated in the plasma, necessitated the use of a two-photon excitation scheme. The probability for this process is greatly enhanced by the presence of the 3d6(5D)4p z6F levels at roughly half the energy di?erence. The f -values are obtained by combining the experimental lifetimes with branching fractions derived using relative intensities from a hollow cathode discharge lamp recorded with a Fourier transform spectrometer. The data is important for benchmarking atomic calculations of astrophysically important quantities and useful for spectroscopy of hot stars.
Transition probability measurements of the N22P and N2+ 1N systems by laser-induced fluorescence
Laser-induced fluorescence (LIF) from a low pressure (pn ≤ 1 mTorr), magnetized, RF-produced plasma was observed for the Second Positive (2P) system of N2 (C3Πu-B3Πg) and First Negative (1N) system of N2+(B2Σu+-X2Σ). A transverse discharge nitrogen laser operating at 337.1 nm (0-0) was used to excite the 2P system; by varying the filling pressure the same laser emitting at 427.8 urn (0-1) was used to excite the 1N system. Transition probabilities Av'vdouble-prime were experimentally determined for the 2P (v' = 0, v double-prime = 0, 1, 2,3,4) and 1N (v' = 0, v double-prime = 0, 1) systems. The observed upper state lifetimes did not vary over the pressure range (4 - 10) x 10-4 Torr, indicating that effects due to collisional depopulation were absent
Zimmer, Christoph; Sahle, Sven
2015-10-01
Estimating model parameters from experimental data is a crucial technique for working with computational models in systems biology. Since stochastic models are increasingly important, parameter estimation methods for stochastic modelling are also of increasing interest. This study presents an extension to the 'multiple shooting for stochastic systems (MSS)' method for parameter estimation. The transition probabilities of the likelihood function are approximated with normal distributions. Means and variances are calculated with a linear noise approximation on the interval between succeeding measurements. The fact that the system is only approximated on intervals which are short in comparison with the total observation horizon allows to deal with effects of the intrinsic stochasticity. The study presents scenarios in which the extension is essential for successfully estimating the parameters and scenarios in which the extension is of modest benefit. Furthermore, it compares the estimation results with reversible jump techniques showing that the approximation does not lead to a loss of accuracy. Since the method is not based on stochastic simulations or approximative sampling of distributions, its computational speed is comparable with conventional least-squares parameter estimation methods. PMID:26405142
Savukov, I. M.
2016-02-01
The precision of the mixed configuration-interaction plus many-body-perturbation-theory (CI+MBPT) method is limited in multivalence atoms by the large size of valence CI space. Previously, to study this problem, the CI+MBPT method was applied to calculations of energies in a four-valence electron atom, Si i. It was found that by using a relatively small cavity of 30 a.u. and by choosing carefully the configuration space, quite accurate agreement between theory and experiment at the level of 100 cm-1 can be obtained, especially after subtraction of systematic shifts for groups of states of the same J and parity. However, other properties are also important to investigate. In this work, the CI+MBPT method is applied to studies of transition probabilities, oscillator strengths, and lifetimes. A close agreement with accurate experimental measurements and other elaborate theories is obtained. The long-term goal is to extend the CI+MBPT approach to applications in more complex atoms, such as lantanides and actinides.
Volkov, M.V.; Ostrovsky, V. N.
2006-01-01
Multistate generalizations of Landau-Zener model are studied by summing entire series of perturbation theory. A new technique for analysis of the series is developed. Analytical expressions for probabilities of survival at the diabatic potential curves with extreme slope are proved. Degenerate situations are considered when there are several potential curves with extreme slope. New expressions for some state-to-state transition probabilities are derived in degenerate cases.
The systematics of E2 transition probabilities and g-factors of even–even N ≥ 86 Xe, Ba, Ce and Nd have been studied by using the projected shell model approach. The E2 transition probabilities and g-factors have been calculated by using the many-body wave functions that reproduce the low-lying ground state energy levels. The calculated B(E2) values show an increasing trend with spin and neutron number. The calculated g-factors reproduce the observed decreasing trend of g(21+) with neutron number except Nd nuclei. (author)
Chen, Guo Xin; Pradhan, Anil K.
2000-01-01
Relativistic atomic structure calculations for electric dipole E1, electric quadrupole E2 and magnetic dipole M1 transition probabilities among the first 80 fine-structure levels of Fe VI, dominated by configurations 3d^3, 3d^24s, and 3d^24p, are carried out using the Breit-Pauli version of the code Superstructure. Experimental energies are used to improve the accuracy of these transition probabilities. Employing the 80-level collision-radiative (CR) model with these dipole and forbidden tran...
We study the gap probabilities of the single-time tacnode process. Through steepest descent analysis of a suitable Riemann–Hilbert problem, we show that under appropriate scaling regimes the gap probability of the tacnode process degenerates into a product of two independent gap probabilities of the Airy processes. (paper)
Girotti, Manuela
2014-01-01
We study the gap probabilities of the single-time Tacnode process. Through steepest descent analysis of a suitable Riemann-Hilbert problem, we show that under appropriate scaling regimes the gap probability of the Tacnode process degenerates into a product of two independent gap probabilities of the Airy processes.
Xiao Bingjia; Shinichiro Kado; Shin Kajita; Daisuge Yamasaki; Satoru Tanaka
2005-01-01
A novel fitting procedure is proposed for a better determination of H2 rovibrational distribution from the Fulcher-a band spectroscopy. We have recalculated the transition probabilities and the results show that they deviate from Franck-Condon approximation especially for the non-diagonal transitions. We also calculated the complete sets of vibrationally resolved crosssections for electron impact d3∏u- X3∑g transition based on the semi-classical Gryzinski theory.An example of experimental study confirms that current approach provides a tool for a better diagnostics of H2 rovibrational distribution in electronic ground state.
Lifetime measurements are presented for 1s2p 3Psub(1,2) levels for He-like C V and N VI. From the measured lifetimes, transition probabilities are deduced for both allowed and spin-forbidden transitions. The values for the 1s21S0 - 1s2p 3P1 transition rates, 0.29 . 108 and 1.38 . 108 s-1 for C V and N VI respectively, are found to be in good agreement with theory. (orig.)
The program makes it possible to calculate the E1, E2 and M1 reduced transition probabilities in odd-odd deformed nuclei. The mixed wave functions used result from a least-squares fit of energy levels (taking the Coriolis effect into account) to the experimental ones, performed with the modified ODDODDCORI subprogram. (orig./HSI)
Transition probabilities of 76 lines of an yttrium atom and eight lines of its first ion in the spectra of plasmas of an erosion jet, flowing out of a channel in a dielectric, are determined by the method of brightness ratio in the wavelength region 4000<λ<6000 Aa
Guberman, S.; Dalgarno, A.; Posen, A.; Kwok, T. L.
1986-01-01
Multiconfiguration variational calculations of the electronic wave functions of the a 3Sigma(+)g and b 3Sigma(+)u states of molecular hydrogen are presented, and the electric dipole transition moment between them (of interest in connection with stellar atmospheres and the UV spectrum of the Jovian planets) is obtained. The dipole moment is used to calculate the probabilities of radiative transitions from the discrete vibrational levels of the a 3Sigma(+)g state to the vibrational continuum of the repulsive b 3Sigma(+)u state as functions of the wavelength of the emitted photons. The total transition probabilities and radiative lifetimes of the levels v prime = 0-20 are presented.
The sticking probability for H-2 on some transition metals at a hydrogen pressure of 1 bar
Johansson, Martin; Lytken, Ole; Chorkendorff, Ib
2008-01-01
The sticking probability for hydrogen on films of Co, Ni, Cu, Ru, Rh, Pd, Ir, and Pt supported on graphite has been measured at a hydrogen pressure of 1 bar in the temperature range 40–200 °C. The sticking probability is found to increase in the order Ni, Co, Ir, Pd, Pt, Rh, and Ru at temperature...
Prompt and delayed EUV spectra of foil-excited Ag have been recorded at ion energies of 19 and 25 MeV. The recent identifications of intercombination transitions in Ga- and Ge-like Ag ions are corroborated by spectra recorded with higher resolution than before and by lifetime measurements. Lifetime results for the resonance transitions of Cu-like ions and for the intercombination transitions in Zn- to Ge-like ions are compared with theoretical predictions. (orig.)
Large-scale multiconfiguration Hartree–Fock and Dirac–Fock calculations have been performed for the ground configuration, [Kr]4d104f4, energy levels of the W24+ ion. The relativistic corrections were taken into account in the quasirelativistic Breit–Pauli and fully relativistic Breit (taking into account QED effects) approximations. The role of correlation, relativistic, and QED corrections is discussed. Line strengths, oscillator strengths, and transition probabilities in the Coulomb and Babushkin gauges are presented for the electric quadrupole (E2) transitions among these levels. The magnetic dipole transitions are also investigated. Dependence of the E2 transition probabilities on the gauge condition of the electromagnetic field potential is studied as well.
Within the range of atomic number 88 to 94, the Coster-Kronig transitions L2-L3M4 and L2-L3M5 become energetically available causing a large change in the probability of Coster-Kronig transitions between the L2 and L3 subshells (f23) and smaller changes in the L2 subshell fluorescence yield (#betta#). In order to determine f23 and #betta# experimentally, it is essential that the chosen method gives explicit definition of the distribution of vacancies in all three L subshells. The nuclides under study decay predominantly to excited states of low energy in the daughter nuclei, which tend to de-excite by electromagnetic transitions. The transitions are highly internally converted in the L subshells. The distribution of vacancies is determined mainly by the strengths of the α branches and the internal conversion coefficients for the L subshells
Energy levels, line strengths, oscillator strengths, and transition rates are calculated for electric dipole nl1nl2[LSJ]-nl3nl4[L'S'J'] transition in Be- (n=2), Mg- (n=3), Zn- (n=4) and Sm- (n=5) like ions with nuclear charges ranging from Z=N to 100 where N is number of electron in system. (author)
Transition probabilities of the B-prime 1Sigma(u)(+) to X 1Sigma(g)(+) system of molecular hydrogen
Kwok, T. L.; Dalgarno, A.; Posen, A.
1985-01-01
From published potential energy curves and transition dipole moments, there are obtained by numerical integration of the equations of nuclear motion the vibrational eigenfunctions of the X 1Sigma(g)(+) and B-prime 1Sigma(u)(+) states of H2. The probabilities of radiative transitions from the discrete vibrational levels of the excited B-prime 1Sigma(u)(+) electronic state of H2 to the discrete and continuum vibrational levels of the ground X 1Sigma(g)(+) electronic state are calculated. The Franck-Condon factors are also presented.
Nahar, Sultana N.
2000-01-01
The Breit-Pauli R-matrix method developed under the Iron Project has been used to obtain extensive sets of oscillator strengths and transition probabilities for dipole allowed and intercombination fine structure transitions in carbon like ions, Ar XIII and Fe XXI. The complete set consists of 1274 fine structure bound energy levels and 198,259 oscillator strengths for Ar XIII, and 1611 bound levels and 300,079 oscillator strengths for Fe XXI. These correspond to levels of total angular moment...
We carried out a comparative analysis of the recent atomic data for iron-peak elements, mainly Ti, Cr and Fe, for a new release of the Vienna Atomic Line Database (VALD3). New data were compared with those available in VALD2 and were checked using high-resolution, high signal-to-noise spectra of sharp-lined chemically normal stars including the Sun, and the zero-rotation extremely Cr- and Fe-rich chemically peculiar star HD 133792. The observed spectrum of the latter star allowed for comparison with transition probability calculations based on the orthogonal operator technique with the Cowan code for Cr II and Fe II lines for lower level energies between 2 eV and 11 eV in the wavelength region 3100 to 9000 A. In general, the agreement between the new experimental transition probabilities and those currently available in VALD2 is fairly good, which helps to validate the stellar abundance data derived with the VALD2 atomic parameters. We also found that, for a few important Ti II and Fe II lines in the visible spectral region, new transition probabilities are not consistent within their quoted accuracy. In a series of recent works on experimental f-values for Fe II it was shown that calculations based on the orthogonal operator technique agree better with the experimental data than the Cowan code calculations and, hence, should have preference for stellar spectroscopy. Our analysis of the Ap star HD 133792 spectrum clearly demonstrates that there are quite a number of high-excitation Cr II and Fe II lines which are fitted reasonably well when using the transition probabilities calculated with the Cowan code. As a rule these lines have their upper energy levels classified differently in both methods of calculations.
We calculated the hyperfine induced transition probability for 47Ti18+ (2s2p 3P0 → 2s21S0) and analysed the influence of the electron correlation effects in order to interpret the reason for a large difference between existing experimental value and previous only one theoretical result with neglected electron correlation effects. An improved result AHFI=0.3708 s-1 was obtained. (author)
Theoretical calculation for forbidden transition probability of ΔL=±2, ΔS=±1 lines in N II
The forbidden transition probabilities have been calculated for the 2p3d-2p2 and 2p3d-2p3p (ΔL = +-2, ΔS = +-1) spectra of N II by using a large-scale multiconfiguration Dirac-Fock (MCDF) method. The most important effects of relativity, correlation, and relaxation are considered in the calculation Comparing with other calculations, a remarkable improvement is achieved
Safronova, U.I.; Johnson, W.R. [Dept. of Physics, Univ. of Notre Dame, IN (United States)
2000-01-01
Energy levels, line strengths, oscillator strengths, and transition rates are calculated for electric dipole nl{sub 1}nl{sub 2}[LSJ]-nl{sub 3}nl{sub 4}[L'S'J'] transition in Be- (n=2), Mg- (n=3), Zn- (n=4) and Sm- (n=5) like ions with nuclear charges ranging from Z=N to 100 where N is number of electron in system. (author)
Peters, E.; Reinhardt, S.; Hänsch, Th. W.; Udem, Th.
2015-12-01
We use a picosecond frequency-doubled mode-locked titanium sapphire laser to generate a frequency comb at 431 nm in order to probe the (3 s2) 1S0 →(3 s 3 d ) 1D2 transition in atomic magnesium. Using a second, self-referenced femtosecond frequency comb, the absolute transition frequency and the 24Mg and 26Mg isotope shift is determined relative to a global-positioning-system-referenced hydrogen maser. Our result for the transition frequency of the main isotope 24Mg of 1 391 128 606.14 (12 ) MHz agrees with previous measurements and reduces its uncertainty by four orders of magnitude. For the isotope shift we find δ ν26 ,24=3915.13 (39 ) MHz. Accurate values for transition frequencies in Mg are relevant in astrophysics and to test atomic structure calculations.
Probability model of solid to liquid-like transition of a fluid suspension after a shear flow onset
Nouar, C.; Říha, Pavel
2008-01-01
Roč. 34, č. 5 (2008), s. 477-483. ISSN 0301-9322 R&D Projects: GA AV ČR IAA200600803 Institutional research plan: CEZ:AV0Z20600510 Keywords : laminar suspension flow * liquid-liquid interface * probability model Subject RIV: BK - Fluid Dynamics Impact factor: 1.497, year: 2008
Oscillator strengths and transition probabilities from the Breit–Pauli R-matrix method: Ne IV
The atomic parameters–oscillator strengths, line strengths, radiative decay rates (A), and lifetimes–for fine structure transitions of electric dipole (E1) type for the astrophysically abundant ion Ne IV are presented. The results include 868 fine structure levels with n≤ 10, l≤ 9, and 1/2≤J≤ 19/2 of even and odd parities, and the corresponding 83,767 E1 transitions. The calculations were carried out using the relativistic Breit–Pauli R-matrix method in the close coupling approximation. The transitions have been identified spectroscopically using an algorithm based on quantum defect analysis and other criteria. The calculated energies agree with the 103 observed and identified energies to within 3% or better for most of the levels. Some larger differences are also noted. The A-values show good to fair agreement with the very limited number of available transitions in the table compiled by NIST, but show very good agreement with the latest published multi-configuration Hartree–Fock calculations. The present transitions should be useful for diagnostics as well as for precise and complete spectral modeling in the soft X-ray to infra-red regions of astrophysical and laboratory plasmas. -- Highlights: •The first application of BPRM method for accurate E1 transitions in Ne IV is reported. •Amount of atomic data (n going up to 10) is complete for most practical applications. •The calculated energies are in very good agreement with most observed levels. •Very good agreement of A-values and lifetimes with other relativistic calculations. •The results should provide precise nebular abundances, chemical evolution etc
Dobeš, Jan; Jolos, R. V.
2004-01-01
Roč. 70, - (2004), 044308. ISSN 0556-2813 R&D Projects: GA ČR GA202/02/0939; GA AV ČR KSK1048102 Keywords : interacting boson model * yrast transition Subject RIV: BE - Theoretical Physics Impact factor: 3.125, year: 2004
Judd–Ofelt analysis and transition probabilities of Er3+ doped KY1−x−yGdxLuy(WO4)2 crystals
In this work the transition probabilities, radiative lifetimes and branching ratios of Er3+ ions in KY1−x−yGdxLuy(WO4)2 crystals have been determined. With this aim, Er3+ doped KY1−x−yGdxLuy(WO4)2 crystals have been grown by means of the high temperature Top-Seeded Solution Growth. A spectroscopic analysis of Er3+ ions in this crystal has been performed following anisotropic Judd–Ofelt analysis to obtain basic spectroscopic properties. A quantum efficiency over 97% has been determined for the 4I13/2→4I15/2 transition, indicating that this material is adequate for the development of lasers and amplifiers working in the third telecommunication window. - Highlights: • Er0.01:KY1−x−yGdxLuy(WO4)2 crystals have been grown. • Anisotropic Judd Ofelt analysis has been carried out. • Optical transition probabilities and branching ratios have been calculated. • Radiative and non-radiative lifetimes have been obtained
By using the path probability method (PPM) with point distribution, we study the dynamic phase transitions (DPTs) in the Blume–Emery–Griffiths (BEG) model under an oscillating external magnetic field. The phases in the model are obtained by solving the dynamic equations for the average order parameters and a disordered phase, ordered phase and four mixed phases are found. We also investigate the thermal behavior of the dynamic order parameters to analyze the nature dynamic transitions as well as to obtain the DPT temperatures. The dynamic phase diagrams are presented in three different planes in which exhibit the dynamic tricritical point, double critical end point, critical end point, quadrupole point, triple point as well as the reentrant behavior, strongly depending on the values of the system parameters. We compare and discuss the dynamic phase diagrams with dynamic phase diagrams that were obtained within the Glauber-type stochastic dynamics based on the mean-field theory. - Highlights: • Dynamic magnetic behavior of the Blume–Emery–Griffiths system is investigated by using the path probability method. • The time variations of average magnetizations are studied to find the phases. • The temperature dependence of the dynamic magnetizations is investigated to obtain the dynamic phase transition points. • We compare and discuss the dynamic phase diagrams with dynamic phase diagrams that were obtained within the Glauber-type stochastic dynamics based on the mean-field theory
We have derived the general expression for the energy-dependent cross section of the transition between two resonant states in the continuous spectrum of atoms and molecules, under the physically meaningful conditions of broadband excitation. The profile is expressed in terms of a symmetric, an asymmetric and a background component, and is cast in a form containing as limiting cases the discrete-discrete Lorentzian profile and the discrete-resonance Beutler-Fano profile. The theory has been implemented numerically by ab initio methods on the transition He** '2s2p' 1po → '2p3p' 1D, for tunable radiation hv around 3.4 eV. (Author)
Martin Weale; Ehsan Khoman
2006-01-01
Will the United Kingdom’s ageing population be fit and independent, or suffer from greater chronic ill health? Healthy life expectancy is commonly used to assess this: it is an estimate of how many years are lived in good health over the lifespan. This paper examines a means of generating estimates of healthy and unhealthy life expectancy consistent with exogenous population mortality data. The method takes population transition matrices and adjusts these in a statistically coherent way so as...
Mielke, Steven L.; Truhlar, Donald G.; Schwenke, David W.
1991-01-01
Improved techniques and well-optimized basis sets are presented for application of the outgoing wave variational principle to calculate converged quantum mechanical reaction probabilities. They are illustrated with calculations for the reactions D + H2 yields HD + H with total angular momentum J = 3 and F + H2 yields HF + H with J = 0 and 3. The optimization involves the choice of distortion potential, the grid for calculating half-integrated Green's functions, the placement, width, and number of primitive distributed Gaussians, and the computationally most efficient partition between dynamically adapted and primitive basis functions. Benchmark calculations with 224-1064 channels are presented.
Teaching Absolute Value Meaningfully
Wade, Angela
2012-01-01
What is the meaning of absolute value? And why do teachers teach students how to solve absolute value equations? Absolute value is a concept introduced in first-year algebra and then reinforced in later courses. Various authors have suggested instructional methods for teaching absolute value to high school students (Wei 2005; Stallings-Roberts…
The delayed detonation model describes the observational properties of the majority of Type Ia supernovae very well. Using numerical data from a three-dimensional deflagration model for Type Ia supernovae, the intermittency of the turbulent velocity field and its implications on the probability of a deflagration-to-detonation (DDT) transition are investigated. From structure functions of the turbulent velocity fluctuations, we determine intermittency parameters based on the log-normal and the log-Poisson models. The bulk of turbulence in the ash regions appears to be less intermittent than predicted by the standard log-normal model and the She-Leveque model. On the other hand, the analysis of the turbulent velocity fluctuations in the vicinity of the flame front by Roepke suggests a much higher probability of large velocity fluctuations on the grid scale in comparison to the log-normal intermittency model. Following Pan et al., we computed probability density functions for a DDT for the different distributions. The determination of the total number of regions at the flame surface, in which DDTs can be triggered, enables us to estimate the total number of events. Assuming that a DDT can occur in the stirred flame regime, as proposed by Woosley et al., the log-normal model would imply a delayed detonation between 0.7 and 0.8 s after the beginning of the deflagration phase for the multi-spot ignition scenario used in the simulation. However, the probability drops to virtually zero if a DDT is further constrained by the requirement that the turbulent velocity fluctuations reach about 500 km s-1. Under this condition, delayed detonations are only possible if the distribution of the velocity fluctuations is not log-normal. From our calculations follows that the distribution obtained by Roepke allow for multiple DDTs around 0.8 s after ignition at a transition density close to 1 x 107 g cm-3.
Pobiruchin, Monika; Bochum, Sylvia; Martens, Uwe M; Kieser, Meinhard; Schramm, Wendelin
2016-06-01
Records of female breast cancer patients were selected from a clinical cancer registry and separated into three cohorts according to HER2-status (human epidermal growth factor receptor 2) and treatment with or without Trastuzumab (a humanized monoclonal antibody). Propensity score matching was used to balance the cohorts. Afterwards, documented information about disease events (recurrence of cancer, metastases, remission of local/regional recurrences, remission of metastases and death) found in the dataset was leveraged to calculate the annual transition probabilities for every cohort. PMID:27054173
Copeland, Richard A.; Jeffries, Jay B.; Crosley, David R.
1986-01-01
Experimental results for relative vibrational band transition probabilities for v prime = 0 and 1, and v double prime = 0 to 4 in the A-X electronic system of OH are presented. The measurements, part of a larger set involving v prime = 0 to 4 and v double prime = 0 to 6, were made using spectrally dispersed laser-induced fluorescence (LIF) in the burnt gases of a flame. These Einstein coefficients will be useful in dynamics experiments for quantitative LIF determinations of OH radical concentrations in high v double prime.
Electric-dipole allowed (E1) and forbidden (E2, M1 and M2) transition probabilities of 4f for N+
By applying systematically enlarged multi-configuration Dirac–Fock wavefunction, the transitions for electric-dipole allowed (E1) and forbidden (E2, M1 and M2) lines are studied among 4f pair coupling and low-lying configurations for singly ionized nitrogen. Most important effects of relativity, electron correlation, the rearrangement of electron density, Breit interaction, and quantum electrodynamic effects are included in the computation. Then, allowed (E1) and forbidden (E2, M1 and M2) transition probabilities of 4f for N+ are obtained and compared with experimental results. Good agreement with available experimental results is found and most of the data of 4f are presented for the first time. (atomic and molecular physics)
Radiative transition probabilities for the B 1PI - X 1SIGMA+ and B 1PI - A 1SIGMA+ of 7LiH
The recently reported (J. Chem. Phys. 66, 5412 (1977)) hybrid potential curves for the X 1Σ+ and A 1Σ+ states of LiH and the herein reported hybrid potential curve for the B 1Pi state of LiH are combined with the ab initio transition moments of Docken and Hinze (J. Chem. Phys. 57, 4936 (1972)) to calculate radiative transition probabilities between all B 1Pi (v' less than or equal to 2) and all X 1Σ+ (v'' less than or equal to 23) and A 1Σ+ (v'' less than or equal to 26) vibrational levels of 7LiH. The strongest single emission band found is the B 1Pi (v' = 2) → X 1Σ+ (v'' = 23) band between the highest ''long-range'' levels in each potential. For all B 1Pi levels, the emission is dominated by B → X rather than B → A emission
Ertaş, Mehmet; Keskin, Mustafa
2015-03-01
By using the path probability method (PPM) with point distribution, we study the dynamic phase transitions (DPTs) in the Blume-Emery-Griffiths (BEG) model under an oscillating external magnetic field. The phases in the model are obtained by solving the dynamic equations for the average order parameters and a disordered phase, ordered phase and four mixed phases are found. We also investigate the thermal behavior of the dynamic order parameters to analyze the nature dynamic transitions as well as to obtain the DPT temperatures. The dynamic phase diagrams are presented in three different planes in which exhibit the dynamic tricritical point, double critical end point, critical end point, quadrupole point, triple point as well as the reentrant behavior, strongly depending on the values of the system parameters. We compare and discuss the dynamic phase diagrams with dynamic phase diagrams that were obtained within the Glauber-type stochastic dynamics based on the mean-field theory.
In this paper, the interacting boson model (IBM-1) is discussed and employed for calculating the energy level and the electromagnetic transition probabilities B(E2) of the even - even 174-180Hf isotopes. These isotopes have been investigated based on two different arrangements; i.e., the dynamical symmetry of 176-180Mf isotopes, SU (3) (deformed nuclei) and the dynamical symmetry of 174Hf isotopein transition region SU(30-O(6). The determined values using the IBM-1 Hamiltonian showed significant agreement with the experimentally reported energy level and B(E2) values. The model provides a fast and accurate predication method of energy level B(E2)values. (authors).
Sobeck, Jennifer S; Sneden, Christopher
2007-01-01
Branching fraction measurements from Fourier transform spectra in conjunction with published radiative lifetimes are used to determine transition probabilities for 263 lines of neutral chromium. These laboratory values are employed to derive a new photospheric abundance for the Sun: log $\\epsilon$(Cr I)$_{\\odot}$ = 5.64$\\pm$0.01 ($\\sigma = 0.07$). These Cr I solar abundances do not exhibit any trends with line strength nor with excitation energy and there were no obvious indications of departures from LTE. In addition, oscillator strengths for singly-ionized chromium recently reported by the FERRUM Project are used to determine: log $\\epsilon$(Cr II)$_{\\odot}$ = 5.77$\\pm$0.03 ($\\sigma = 0.13$). Transition probability data are also applied to the spectra of three stars: HD 75732 (metal-rich dwarf), HD 140283 (metal-poor subgiant), and CS 22892-052 (metal-poor giant). In all of the selected stars, Cr I is found to be underabundant with respect to Cr II. The possible causes for this abundance discrepancy and app...
Lawler, J E; Cowan, J J; Wyart, J -F; Ivans, I I; Sobeck, J S; Stockett, M H; Hartog, E A Den
2008-01-01
Recent radiative lifetime measurements accurate to +/- 5% (Stockett et al. 2007, J. Phys. B 40, 4529) using laser-induced fluorescence (LIF) on 8 even-parity and 62 odd-parity levels of Er II have been combined with new branching fractions measured using a Fourier transform spectrometer (FTS) to determine transition probabilities for 418 lines of Er II. This work moves Er II onto the growing list of rare earth spectra with extensive and accurate modern transition probability measurements using LIF plus FTS data. This improved laboratory data set has been used to determine a new solar photospheric Er abundance, log epsilon = 0.96 +/- 0.03 (sigma = 0.06 from 8 lines), a value in excellent agreement with the recommended meteoric abundance, log epsilon = 0.95 +/- 0.03. Revised Er abundances have also been derived for the r-process-rich metal-poor giant stars CS 22892-052, BD+17 3248, HD 221170, HD 115444, and CS 31082-001. For these five stars the average Er/Eu abundance ratio, = 0.42, is in very good agreement ...
Full-dimensional calculations of initial state-selected reaction probabilities on an accurate ab initio potential energy surface (PES) have been communicated recently [R. Welsch and U. Manthe, J. Chem. Phys. 141, 051102 (2014)]. These calculations use the quantum transition state concept, the multi-layer multi-configurational time-dependent Hartree approach, and graphics processing units to speed up the potential evaluation. Here further results of these calculations and an extended analysis are presented. State-selected reaction probabilities are given for many initial ro-vibrational states. The role of the vibrational states of the activated complex is analyzed in detail. It is found that rotationally cold methane mainly reacts via the ground state of the activated complex while rotationally excited methane mostly reacts via H–H–CH3-bending excited states of the activated complex. Analyzing the different contributions to the reactivity of the vibrationally states of methane, a complex pattern is found. Comparison with initial state-selected reaction probabilities computed on the semi-empirical Jordan-Gilbert PES reveals the dependence of the results on the specific PES
Transition probabilities and the structure of some negative-parity states in 126,130Xe and 132Ba
The lifetimes of several negative-parity states in 126,130Xe and 132Ba have been determined by means of the generalized centroid-shift method. The reactions 124,128Te(α,2n) and 122Sn(13C,3n) have been used. Following results were obtained: T1/2(2758keV)=1.3±0.2 ns in 126Xe, T1/2(2060 keV)=0.20±0.10 ns, T1/2(2104 keV)=0.50±0.10 ns, T1/2(2376 keV)=0.30±0.10 ns and T1/2(2973 keV)=4.6±40.4 ns in 130Xe as well as T1/2(2120 keV)=0.40+0.20-0.10 ns in 132Ba. A systematic of the B(E2; 7-1→5-1) values in the N=76 nuclei is presented. Electric dipole and quadrupole transition rates are discussed in terms of octupole and quadrupole collectivity. The structure of the 5-1 and 7-1 states is considered. (orig.)
Lexicographic probability, conditional probability, and nonstandard probability
Halpern, Joseph Y.
2003-01-01
The relationship between Popper spaces (conditional probability spaces that satisfy some regularity conditions), lexicographic probability systems (LPS's), and nonstandard probability spaces (NPS's) is considered. If countable additivity is assumed, Popper spaces and a subclass of LPS's are equivalent; without the assumption of countable additivity, the equivalence no longer holds. If the state space is finite, LPS's are equivalent to NPS's. However, if the state space is infinite, NPS's are ...
Eosinophils; Absolute eosinophil count ... the white blood cell count to give the absolute eosinophil count. ... than 500 cells per microliter (cells/mcL). Normal value ranges may vary slightly among different laboratories. Talk ...
The cumulative reaction probability as eigenvalue problem
Manthe, Uwe; Miller, William H.
1993-09-01
It is shown that the cumulative reaction probability for a chemical reaction can be expressed (absolutely rigorously) as N(E)=∑kpk(E), where {pk} are the eigenvalues of a certain Hermitian matrix (or operator). The eigenvalues {pk} all lie between 0 and 1 and thus have the interpretation as probabilities, eigenreaction probabilities which may be thought of as the rigorous generalization of the transmission coefficients for the various states of the activated complex in transition state theory. The eigenreaction probabilities {pk} can be determined by diagonalizing a matrix that is directly available from the Hamiltonian matrix itself. It is also shown how a very efficient iterative method can be used to determine the eigenreaction probabilities for problems that are too large for a direct diagonalization to be possible. The number of iterations required is much smaller than that of previous methods, approximately the number of eigenreaction probabilities that are significantly different from zero. All of these new ideas are illustrated by application to three model problems—transmission through a one-dimensional (Eckart potential) barrier, the collinear H+H2→H2+H reaction, and the three-dimensional version of this reaction for total angular momentum J=0.
The cumulative reaction probability as eigenvalue problem
It is shown that the cumulative reaction probability for a chemical reaction can be expressed (absolutely rigorously) as N(E)=summation kpk(E), where {pk} are the eigenvalues of a certain Hermitian matrix (or operator). The eigenvalues {pk} all lie between 0 and 1 and thus have the interpretation as probabilities, eigenreaction probabilities which may be thought of as the rigorous generalization of the transmission coefficients for the various states of the activated complex in transition state theory. The eigenreaction probabilities {pk} can be determined by diagonalizing a matrix that is directly available from the Hamiltonian matrix itself. It is also shown how a very efficient iterative method can be used to determine the eigenreaction probabilities for problems that are too large for a direct diagonalization to be possible. The number of iterations required is much smaller than that of previous methods, approximately the number of eigenreaction probabilities that are significantly different from zero. All of these new ideas are illustrated by application to three model problems---transmission through a one-dimensional (Eckart potential) barrier, the collinear H+H2→H2+H reaction, and the three-dimensional version of this reaction for total angular momentum J=0
Transition probabilities for 30 spectral lines, arising from the 5d10 6s{8s, 7p, 5f, 5g} electronic configurations of Pb III (20 measured for the first time), have been experimentally determined from measurements of emission line intensities in a plasma lead induced by ablation with a Nd:YAG laser. The line intensities were obtained with the target placed in molecular argon at 6 Torr, recorded at a 400 ns delay from the laser pulse, which provides appropriate measurement conditions, and analysed between 200 and 700 nm. They are measured when the plasma reaches local thermodynamic equilibrium (LTE). The plasma under study had an electron temperature (T) of 21,400 K and an electron number density (Ne) of 7x1016 cm-3. The influence of self-absorption has been estimated for every line, and plasma homogeneity has been checked. The values obtained were compared with previous experimental values and theoretical estimates where possible.
Moeller, O.
2005-07-01
This work reports on results from two Recoil-Distance-Doppler-Shift lifetime measurements of excited states in {sup 155}Dy and {sup 178}Os. The experiments were carried out at the GASP spektrometer of the Laboratori Nazional i di Legnaro in combination with the Cologne plunger apparatus. The main purpose of the performed experiments was to test the predictions of the X(5) critical point symmetry in these two nuclei. In {sup 156}Dy and {sup 178}Os 29 lifetimes of excited states were derived using the Differential-Decay-Curve method. In weaker reaction channels the nuclei {sup 155}Dy, {sup 157}Dy and {sup 177}Os were populated. In these nuclei 32 additional lifetimes were measured, most of them for the first time. In order to calculate absolute transition probabilities from the measured lifetimes of the first excited band in {sup 156}Dy, essential branching ratios were derived from the measured data with a very small systematic error (<5%). The most important results can be summarized as mentioned below: Lifetimes measured in the first excited band, confirm that this nucleus can be located close to the critical point X(5). With model calculations, special criteria of the X(5) model were found that can be used to identify other X(5)-like nuclei. Using these criterias a new region of X(5)-like nuclei could be suggested within the osmium isotopes in the A=180 mass region. The measured lifetimes in {sup 178}Os confirm the consistency of a X(5) description in these nuclei. A comparision with the well established X(5)-like nuclei in the N=90 isotones gives an agreement with the X(5) description of at least the same quality. (orig.)
New experimental branching fractions and transition probabilities are reported for 56 transitions in FeII. The branching fractions are measured with a Fourier transform spectrometer and also with a high-resolution grating spectrometer on an optically thin hollow cathode discharge. Highly accurate experimental radiative lifetimes from the recent literature provide the normalization required to convert our branching fractions into absolute transition probabilities. Results are compared with experimental and theoretical values in the literature. Our new transition probabilities will establish the absolute scale for relative absorption oscillator strengths of vacuum ultraviolet lines measured using a new high-sensitivity absorption experiment at the University of Wisconsin. copyright 1996 The American Astronomical Society
Transition probabilities for NII 2p4f-2p3d and 2s2p23d-2s2p23p obtained by a semiclassical method
2007-01-01
Based on NII spectra, some transition probabilities for 2p4f-2p3d and 2s2p23d-2s2p23p are obtained by a semiclassical method. The results are in good agreement with other measurements and the data reported by the National Institute of Standards and Technology. The transition probability for a line of 424.18nm is reported for the first time. Meanwhile, a feasible method of calculating transition parameters related to special excited configurations or highly excited states is provided.
Sean S Downey
Full Text Available Analysis of the proportion of immature skeletons recovered from European prehistoric cemeteries has shown that the transition to agriculture after 9000 BP triggered a long-term increase in human fertility. Here we compare the largest analysis of European cemeteries to date with an independent line of evidence, the summed calibrated date probability distribution of radiocarbon dates (SCDPD from archaeological sites. Our cemetery reanalysis confirms increased growth rates after the introduction of agriculture; the radiocarbon analysis also shows this pattern, and a significant correlation between both lines of evidence confirms the demographic validity of SCDPDs. We analyze the areal extent of Neolithic enclosures and demographic data from ethnographically known farming and foraging societies and we estimate differences in population levels at individual sites. We find little effect on the overall shape and precision of the SCDPD and we observe a small increase in the correlation with the cemetery trends. The SCDPD analysis supports the hypothesis that the transition to agriculture dramatically increased demographic growth, but it was followed within centuries by a general pattern of collapse even after accounting for higher settlement densities during the Neolithic. The study supports the unique contribution of SCDPDs as a valid demographic proxy for the demographic patterns associated with early agriculture.
Adopted values for the excitation energy, Ex(31-), of the first 3- state of the even-even nuclei are tabulated. Values of the reduced electric-octupole transition probability, B(E3;O1+ → 31-), from the ground state to this state, as determined from Coulomb excitation, lifetime measurements, inelastic electron scattering, deformation parameters β3 obtained from angular distributions of inelastically scattered nucleons and light ions, and other miscellaneous procedures are listed in separate Tables. Adopted values for B(E3; O1+ → 31-) are presented in Table VII, together with the E3 transition strengths, in Weisskopf units, and the product Ex(31-) x B(E3; O1+ → 31--) expressed as a percentage of the energy-weighted E3 sum-rule strength. An evaluation is made of the reliability of B(E3; O1+ → 31-) values deduced from deformation parameters β3. The literature has been covered to March 1988
Merica, H
2011-01-01
Little attention has gone into linking to its neuronal substrates the dynamic structure of non-rapid-eye-movement (NREM) sleep, defined as the pattern of time-course power in all frequency bands across an entire episode. Using the spectral power time-courses in the sleep electroencephalogram (EEG), we showed in the typical first episode, several moves towards-and-away from deep sleep, each having an identical pattern linking the major frequency bands beta, sigma and delta. The neuronal transition probability model (NTP) - in fitting the data well - successfully explained the pattern as resulting from stochastic transitions of the firing-rates of the thalamically-projecting brainstem-activating neurons, alternating between two steady dynamic-states (towards-and-away from deep sleep) each initiated by a so-far unidentified flip-flop. The aims here are to identify this flip-flop and to demonstrate that the model fits well all NREM episodes, not just the first. Using published data on suprachiasmatic nucleus (SCN...
Relative transition probabilities for krypton.
Miller, M. H.; Roig, R. A.; Bengtson, R. D.
1972-01-01
First experimental line strength data for the visible Kr II lines and for several of the more prominent Kr I lines are given. The spectroscopic light source used is the thermal plasma behind the reflected shock wave in a gas-driven shock tube. A 3/4-m spectrograph and a 1-m spectrograph were employed simultaneously to provide redundant photometry. The data are compared with other measurements and with theoretical calculations.
Absolute nuclear material assay
Prasad, Manoj K.; Snyderman, Neal J.; Rowland, Mark S.
2010-07-13
A method of absolute nuclear material assay of an unknown source comprising counting neutrons from the unknown source and providing an absolute nuclear material assay utilizing a model to optimally compare to the measured count distributions. In one embodiment, the step of providing an absolute nuclear material assay comprises utilizing a random sampling of analytically computed fission chain distributions to generate a continuous time-evolving sequence of event-counts by spreading the fission chain distribution in time.
Absolute nuclear material assay
Prasad, Manoj K.; Snyderman, Neal J.; Rowland, Mark S.
2012-05-15
A method of absolute nuclear material assay of an unknown source comprising counting neutrons from the unknown source and providing an absolute nuclear material assay utilizing a model to optimally compare to the measured count distributions. In one embodiment, the step of providing an absolute nuclear material assay comprises utilizing a random sampling of analytically computed fission chain distributions to generate a continuous time-evolving sequence of event-counts by spreading the fission chain distribution in time.
Florescu, Ionut
2013-01-01
THE COMPLETE COLLECTION NECESSARY FOR A CONCRETE UNDERSTANDING OF PROBABILITY Written in a clear, accessible, and comprehensive manner, the Handbook of Probability presents the fundamentals of probability with an emphasis on the balance of theory, application, and methodology. Utilizing basic examples throughout, the handbook expertly transitions between concepts and practice to allow readers an inclusive introduction to the field of probability. The book provides a useful format with self-contained chapters, allowing the reader easy and quick reference. Each chapter includes an introductio
Schechter, J.; Shahid, M. N.
2012-01-01
We discuss the possibility of using experiments timing the propagation of neutrino beams over large distances to help determine the absolute masses of the three neutrinos.......We discuss the possibility of using experiments timing the propagation of neutrino beams over large distances to help determine the absolute masses of the three neutrinos....
We obtain here a new relation for the reduced electric quadrupole transition probability B(E2)↑ of a given nucleus in terms of its derivatives with respect to neutron and proton numbers based on a similar local energy relation in the Infinite Nuclear Matter (INM) model of atomic nuclei, which is essentially built on the foundation of the Hugenholtz–Van Hove (HVH) theorem of many-body theory. Obviously, such a relation in the form of a differential equation is expected to be more powerful than the usual algebraic difference equations. Although the relation for B(E2)↑ has been perceived simply on the basis of a corresponding differential equation for the local energy in the INM model, its theoretical foundation otherwise has been clearly demonstrated. We further exploit the differential equation in using the very definitions of the derivatives to obtain two different recursion relations for B(E2)↑, connecting in each case three neighboring even–even nuclei from lower to higher mass numbers and vice versa. We demonstrate their numerical validity using available data throughout the nuclear chart and also explore their possible utility in predicting B(E2)↑ values. (author)
Pattnaik, S
2014-01-01
We obtain here a new relation for the reduced electric quadrupole transition probability B(E2) of a given nucleus in terms of its derivatives with respect to neutron and proton numbers based on a similar local energy relation in the Infinite Nuclear Matter (INM) model of Atomic Nuclei, which is essentially built on the foundation of the Hugenholtz-Van Hove Theorem of many-body theory. Obviously such a relation in the form of a differential equation is expected to be more powerful than the usual algebraic difference equations. Although the relation for B(E2) has been perceived simply on the basis of a corresponding differential equation for the local energy in the INM model, its theoretical foundation otherwise has been clearly demonstrated. We further exploit the differential equation in using the very definitions of the derivatives to obtain two different recursion relations for B(E2) , connecting in each case three neighboring even-even nuclei from lower to higher mass numbers and vice-verse. We demonstrate...
Gudder, Stanley P
2014-01-01
Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism.Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles.The first two chapters survey the ne
Asmussen, Søren; Albrecher, Hansjörg
, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantially......The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramér-Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities...... updated and extended second version, new topics include stochastic control, fluctuation theory for Levy processes, Gerber–Shiu functions and dependence....
Is spacetime absolutely or just most probably Lorentzian?
Davidson, Aharon; Yellin, Ben
2016-08-01
Pre-gauging the cosmological scale factor a(t) does not introduce unphysical degrees of freedom into the exact FLRW classical solution. It seems to lead, however, to a non-dynamical mini superspace. The missing ingredient, a generalized momentum enjoying canonical Dirac (rather than Poisson) brackets with the lapse function n(t), calls for measure scaling which can be realized by means of a scalar field. The latter is essential for establishing a geometrical connection with the five-dimensional Kaluza–Klein Schwarzschild–deSitter black hole. Contrary to the Hartle–Hawking approach, (i) the t-independent wave function \\psi (a) is traded for an explicit t-dependent \\psi (n,t), (ii) the classical FLRW configuration does play a major role in the structure of the ’most classical’ cosmological wave packet, and (iii) the non-singular Euclid/Lorentz crossovers get quantum mechanically smeared.
Is spacetime absolutely or just most probably Lorentzian?
Davidson, Aharon
2015-01-01
An algebraic evolution equation for the lapse function $n(t)$, the result of a tenable pre-gauging of the cosmological scale factor $a(t)$, signals a non-dynamical mini-superspace. The missing ingredient, a generalized momentum enjoying canonical Dirac (rather than Poisson) brackets with $n(t)$, calls for measure scaling. Contrary to the Hartle-Hawking approach: (i) The static wave function $\\psi(a)$ is traded for an explicit time dependent $\\psi(n, t)$, (ii) The 'most classical' cosmological wave packet is dominated by the classic FLRW configuration, and (iii) The Euclid/Lorentz crossover gets quantum mechanically smeared. A correspondence with the classical/quantum 5-dim Schwarzschild-deSitter black hole is noted.
Shiryaev, Albert N
2016-01-01
This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, the measure-theoretic foundations of probability theory, weak convergence of probability measures, and the central limit theorem. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for independent study. To accommodate the greatly expanded material in the third edition of Probability, the book is now divided into two volumes. This first volume contains updated references and substantial revisions of the first three chapters of the second edition. In particular, new material has been added on generating functions, the inclusion-exclusion principle, theorems on monotonic classes (relying on a detailed treatment of “π-λ” systems), and the fundamental theorems of mathematical statistics.
National Oceanic and Atmospheric Administration, Department of Commerce — The NGS Absolute Gravity data (78 stations) was received in July 1993. Principal gravity parameters include Gravity Value, Uncertainty, and Vertical Gradient. The...
Cosmological dynamics in tomographic probability representation
Man'ko, V. I.; G. Marmo(Università di Napoli and INFN, Napoli, Italy); Stornaiolo, C.
2004-01-01
The probability representation for quantum states of the universe in which the states are described by a fair probability distribution instead of wave function (or density matrix) is developed to consider cosmological dynamics. The evolution of the universe state is described by standard positive transition probability (tomographic transition probability) instead of the complex transition probability amplitude (Feynman path integral) of the standard approach. The latter one is expressed in te...
Çuhadar, C.Hakan
2008-01-01
Musicians are debated people in the academic circles with the claim of they have both various characteristics and different cognitive personalities on the analogy those other people. One of these different characteristics is absolute pitch ability. Absolute pitch (AP) is a cognitive ability which can be characterized as to identify any tones (labeling) at a given pitch without using any external references. According to the different studies which were held in different times, the prevalence ...
Okada, H.; Alekseev, I.; Bravar, A; Bunce, G.; Dhawan, S.; Eyser, K. O.; Gill, R; Haeberli, W.; Huang, H.; Jinnouchi, O.; Makdisi, Y.; Nakagawa, I.; Nass, A.; Saito, N; Stephenson, E.
2007-01-01
Precise and absolute beam polarization measurements are critical for the RHIC spin physics program. Because all experimental spin-dependent results are normalized by beam polarization, the normalization uncertainty contributes directly to final physics uncertainties. We aimed to perform the beam polarization measurement to an accuracy of $\\Delta P_{beam}/P_{beam} < 5%$. The absolute polarimeter consists of Polarized Atomic Hydrogen Gas Jet Target and left-right pairs of silicon strip detector...
Absolute surface energy determination
Metois, J. J.; Muller, P.
2007-01-01
Experimental determination of absolute surface energies remains a challenge. We propose a simple method based on two independent measurements on 3D and 2D equilibrium shapes completed by the analysis of the thermal fluctuation of an isolated step. Using then basic equations (Wulff' theorem, Gibbs-Thomson equation, thermodynamics fluctuation of an isolated step) allows us to extract the absolute surface free energy of a singular face. The so-proposed method can be applied when (i) all orientat...
Şerafettin ATALAY
1998-02-01
Full Text Available The Wolfram isotopes are at the end of the deformed region 150 ? A ? 190 and therefore exhibit an interesting situation. In this work by using the IBM-I the BE (2 transition probabilities, quadrupole moments and the SU (3 character of 168 W and 170 W isotopes are investigated. The results obtained give correct and reasonable knowledge about these nuclei.
ATALAY, Şerafettin; M. Duran DULKAR; Uluer, İhsan
1998-01-01
The Wolfram isotopes are at the end of the deformed region 150 ? A ? 190 and therefore exhibit an interesting situation. In this work by using the IBM-I the BE (2) transition probabilities, quadrupole moments and the SU (3) character of 168 W and 170 W isotopes are investigated. The results obtained give correct and reasonable knowledge about these nuclei.
Calibration with Absolute Shrinkage
Øjelund, Henrik; Madsen, Henrik; Thyregod, Poul
2001-01-01
In this paper, penalized regression using the L-1 norm on the estimated parameters is proposed for chemometric je calibration. The algorithm is of the lasso type, introduced by Tibshirani in 1996 as a linear regression method with bound on the absolute length of the parameters, but a modification...
A previously developed random matrix/transition state theory (RM/TST) model for the probability distribution of state-specific unimolecular decay rates has been generalized to incorporate total angular momentum conservation and other dynamical symmetries. The model is made into a predictive theory by using a semiclassical method to determine the transmission probabilities of a nonseparable rovibrational Hamiltonian at the transition state. The overall theory gives a good description of the state-specific rates for the D2CO→D2+CO unimolecular decay; in particular, it describes the dependence of the distribution of rates on total angular momentum J. Comparison of the experimental values with results of the RM/TST theory suggests that there is mixing among the rovibrational states
New atomic transition probability measurements for 948 lines of Ti I are reported. Branching fractions from Fourier transform spectra and from spectra recorded using a 3 m echelle spectrometer are combined with published radiative lifetimes from laser-induced fluorescence measurements to determine these transition probabilities. Generally good agreement is found in comparisons to the NIST Atomic Spectra Database. The new Ti I data are applied to re-determine the Ti abundance in the photospheres of the Sun and metal-poor star HD 84937 using many lines covering a range of wavelength and excitation potential to explore possible non-local thermal equilibrium effects. The variation of relative Ti/Fe abundance with metallicity in metal-poor stars observed in earlier studies is supported in this study.
Lawler, J. E.; Guzman, A.; Wood, M. P. [Department of Physics, University of Wisconsin, Madison, WI 53706 (United States); Sneden, C. [Department of Astronomy and McDonald Observatory, University of Texas, Austin, TX 78712 (United States); Cowan, J. J., E-mail: jelawler@wisc.edu, E-mail: adrianaguzman2014@u.northwestern.edu, E-mail: mpwood@wisc.edu, E-mail: chris@verdi.as.utexas.edu, E-mail: cowan@nhn.ou.edu [Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019 (United States)
2013-04-01
New atomic transition probability measurements for 948 lines of Ti I are reported. Branching fractions from Fourier transform spectra and from spectra recorded using a 3 m echelle spectrometer are combined with published radiative lifetimes from laser-induced fluorescence measurements to determine these transition probabilities. Generally good agreement is found in comparisons to the NIST Atomic Spectra Database. The new Ti I data are applied to re-determine the Ti abundance in the photospheres of the Sun and metal-poor star HD 84937 using many lines covering a range of wavelength and excitation potential to explore possible non-local thermal equilibrium effects. The variation of relative Ti/Fe abundance with metallicity in metal-poor stars observed in earlier studies is supported in this study.
Since the recent convincing evidence for massive neutrinos in oscillation experiments, the next task is to determine the absolute masses of neutrinos. A unique pattern of neutrino masses will be hopefully fixed in the future superbeam experiments and neutrino factories. However, the determination of the exact scale is more complicated and depends on the mass of the lightest neutrino ( mμ )min . If ( mμ)min ≥ 0.35 eV, the future tritium β decay experiments ( e.g. KATRIN) will have a chance to establish absolute neutrino masses. For smaller masses, 0.004 eV ≤ (mμ)min ≤ 0.35 eV, if neutrinos are Majorana particles, an additional information can be derived from the neutrinoless double β decay (ββ)0μ of nuclei and again the absolute neutrino masses can be fixed. If, however, (mμ)min ≤ 0.004 eV, none of the present and foreseeable future experiments is known to be able to fix the mass scale. (author)
Walewski, Mateusz
2011-01-01
This paper presents the results of an attempt to use the combined results of the dedicated survey performed by CASE in 2007 and Polish LFS data in order to: (a) analyze the development of the shadow employment in Poland in years 2003-2008 and, (b) analyze the transition probabilities in and out of shadow employment. The estimated share of shadow workers in total employment in Poland in yea...
It is shown within the microscopic approach combining the quasiparticle-phonon nuclear model and the nonadiabatic rotational model (QPNM + NRM) that a complicated behaviour of E1 transitions in nuclei 153,155Eu and 155,157Tb can be described only if both the Coriolis and quasiparticle-phonon interactions are taken into account. In contrast with the results obtained in the NRM allowing for pairing and the Coriolis forces only, QPNM + NRM calculations provide a considerable increase in E1(ΔK = 0) transitions whereas E1(vertical strokeΔKvertical stroke = 1) transitions can undergo either increase or essential decrease. We also describe the low-lying states of the considered nuclei and demonstrate the decisive role of the giant dipole resonance 'tail' in E1 transitions between the low-lying states. The obtained results are analysed in detail. (orig.)
Johansson, Martin; Lytken, Ole; Chorkendorff, Ib
2008-01-01
sticking probability significantly for all the metals, even at 200 degrees C. In the presence of 10 ppm CO, the sticking probability increases in the order It, Pt, Ni, Co, Pd, Rh, Ru, whereas for Cu, it is below the detection limit of the measurement, even in pure H2. The sticking probability for H2 in...... presence of CO relative to its value in pure hydrogen is largest for Pd and smallest for Pt and It. The high sensitivity to CO seen for It and Pt is explained by the fact that the difference in desorption energy for H and CO is largest for those metals. (C) 2008 Elsevier B.V. All rights reserved....
OKADA; BRAVAR, A.; BUNCE, G.; GILL, R.; HUANG, H.; MAKDISI, Y.; NASS, A.; WOOD, J.; ZELENSKI, Z.; ET AL.
2007-09-10
Precise and absolute beam polarization measurements are critical for the RHIC spin physics program. Because all experimental spin-dependent results are normalized by beam polarization, the normalization uncertainty contributes directly to final physics uncertainties. We aimed to perform the beam polarization measurement to an accuracy Of {Delta}P{sub beam}/P{sub beam} < 5%. The absolute polarimeter consists of Polarized Atomic Hydrogen Gas Jet Target and left-right pairs of silicon strip detectors and was installed in the RHIC-ring in 2004. This system features proton-proton elastic scattering in the Coulomb nuclear interference (CNI) region. Precise measurements of the analyzing power A{sub N} of this process has allowed us to achieve {Delta}P{sub beam}/P{sub beam} = 4.2% in 2005 for the first long spin-physics run. In this report, we describe the entire set up and performance of the system. The procedure of beam polarization measurement and analysis results from 2004-2005 are described. Physics topics of AN in the CNI region (four-momentum transfer squared 0.001 < -t < 0.032 (GeV/c){sup 2}) are also discussed. We point out the current issues and expected optimum accuracy in 2006 and the future.
Okada, H; Bravar, A; Bunce, G; Dhawan, S; Eyser, K O; Gill, R; Haeberli, W; Huang, H; Jinnouchi, O; Makdisi, Y; Nakagawa, I; Nass, A; Saitô, N; Stephenson, E; Sviridia, D; Wise, T; Wood, J; Zelenski, A
2007-01-01
Precise and absolute beam polarization measurements are critical for the RHIC spin physics program. Because all experimental spin-dependent results are normalized by beam polarization, the normalization uncertainty contributes directly to final physics uncertainties. We aimed to perform the beam polarization measurement to an accuracy of $\\Delta P_{beam}/P_{beam} < 5%$. The absolute polarimeter consists of Polarized Atomic Hydrogen Gas Jet Target and left-right pairs of silicon strip detectors and was installed in the RHIC-ring in 2004. This system features \\textit{proton-proton} elastic scattering in the Coulomb nuclear interference (CNI) region. Precise measurements of the analyzing power $A_N$ of this process has allowed us to achieve $\\Delta P_{beam}/P_{beam} =4.2%$ in 2005 for the first long spin-physics run. In this report, we describe the entire set up and performance of the system. The procedure of beam polarization measurement and analysis results from 2004-2005 are described. Physics topics of $A...
Estimating Small Probabilities for Langevin Dynamics
Aristoff, David
2012-01-01
The problem of estimating small transition probabilities for overdamped Langevin dynamics is considered. A simplification of Girsanov's formula is obtained in which the relationship between the infinitesimal generator of the underlying diffusion and the change of probability measure corresponding to a change in the potential energy is made explicit. From this formula an asymptotic expression for transition probability densities is derived. Separately the problem of estimating the probability ...
Martínez de Mendívil, Jon, E-mail: jon.martinez@uam.es [Departamento de Física de Materiales, Universidad Autónoma de Madrid, 28049 Madrid (Spain); Lifante, Ginés [Departamento de Física de Materiales, Universidad Autónoma de Madrid, 28049 Madrid (Spain); Pujol, Maria Cinta; Aguiló, Magdalena; Díaz, Francesc [Física i Cristalografia de Materials i Nanomaterials (FiCMA-FiCNA), Universitat Rovira i Virgili, Tarragona (Spain); Cantelar, Eugenio [Departamento de Física de Materiales, Universidad Autónoma de Madrid, 28049 Madrid (Spain)
2015-09-15
In this work the transition probabilities, radiative lifetimes and branching ratios of Er{sup 3+} ions in KY{sub 1−x−y}Gd{sub x}Lu{sub y}(WO{sub 4}){sub 2} crystals have been determined. With this aim, Er{sup 3+} doped KY{sub 1−x−y}Gd{sub x}Lu{sub y}(WO{sub 4}){sub 2} crystals have been grown by means of the high temperature Top-Seeded Solution Growth. A spectroscopic analysis of Er{sup 3+} ions in this crystal has been performed following anisotropic Judd–Ofelt analysis to obtain basic spectroscopic properties. A quantum efficiency over 97% has been determined for the {sup 4}I{sub 13/2}→{sup 4}I{sub 15/2} transition, indicating that this material is adequate for the development of lasers and amplifiers working in the third telecommunication window. - Highlights: • Er{sub 0.01}:KY{sub 1−x−y}Gd{sub x}Lu{sub y}(WO{sub 4}){sub 2} crystals have been grown. • Anisotropic Judd Ofelt analysis has been carried out. • Optical transition probabilities and branching ratios have been calculated. • Radiative and non-radiative lifetimes have been obtained.
Quantum Statistical Mechanics. III. Equilibrium Probability
Attard, Phil
2014-01-01
Given are a first principles derivation and formulation of the probabilistic concepts that underly equilibrium quantum statistical mechanics. The transition to non-equilibrium probability is traversed briefly.
Optical tweezers absolute calibration
Dutra, R S; Neto, P A Maia; Nussenzveig, H M
2014-01-01
Optical tweezers are highly versatile laser traps for neutral microparticles, with fundamental applications in physics and in single molecule cell biology. Force measurements are performed by converting the stiffness response to displacement of trapped transparent microspheres, employed as force transducers. Usually, calibration is indirect, by comparison with fluid drag forces. This can lead to discrepancies by sizable factors. Progress achieved in a program aiming at absolute calibration, conducted over the past fifteen years, is briefly reviewed. Here we overcome its last major obstacle, a theoretical overestimation of the peak stiffness, within the most employed range for applications, and we perform experimental validation. The discrepancy is traced to the effect of primary aberrations of the optical system, which are now included in the theory. All required experimental parameters are readily accessible. Astigmatism, the dominant effect, is measured by analyzing reflected images of the focused laser spo...
Aunion, Jose Luis Alcaraz; /Barcelona, IFAE
2010-07-01
This thesis presents the measurement of the charged current quasi-elastic (CCQE) neutrino-nucleon cross section at neutrino energies around 1 GeV. This measurement has two main physical motivations. On one hand, the neutrino-nucleon interactions at few GeV is a region where existing old data are sparse and with low statistics. The current measurement populates low energy regions with higher statistics and precision than previous experiments. On the other hand, the CCQE interaction is the most useful interaction in neutrino oscillation experiments. The CCQE channel is used to measure the initial and final neutrino fluxes in order to determine the neutrino fraction that disappeared. The neutrino oscillation experiments work at low neutrino energies, so precise measurement of CCQE interactions are essential for flux measurements. The main goal of this thesis is to measure the CCQE absolute neutrino cross section from the SciBooNE data. The SciBar Booster Neutrino Experiment (SciBooNE) is a neutrino and anti-neutrino scattering off experiment. The neutrino energy spectrum works at energies around 1 GeV. SciBooNE was running from June 8th 2007 to August 18th 2008. In that period, the experiment collected a total of 2.65 x 10{sup 20} protons on target (POT). This thesis has used full data collection in neutrino mode 0.99 x 10{sup 20} POT. A CCQE selection cut has been performed, achieving around 70% pure CCQE sample. A fit method has been exclusively developed to determine the absolute CCQE cross section, presenting results in a neutrino energy range from 0.2 to 2 GeV. The results are compatible with the NEUT predictions. The SciBooNE measurement has been compared with both Carbon (MiniBoonE) and deuterium (ANL and BNL) target experiments, showing a good agreement in both cases.