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NOTES ON THE DISTRIBUTION OF PHASE SHIFTS
Modern Physics Letters B, 2008We consider three-dimensional inverse scattering with fixed energy for which the spherically symmetrical potential is nonvanishing only in a ball. We give exact upper and lower bounds for the phase shifts. We provide a variational formula for the Weyl–Titchmarsh m-function of the one-dimensional Schrödinger operator defined on the half-line.
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Distribution of Phases in Two-Phase Solids
Journal of Applied Physics, 1949The quasi-equilibrium distribution of a disperse phase, B, within a polycrystalline second phase, A, is investigated by methods of statistical thermodynamics. Phase B is assumed to consist of spherical particles of uniform size within the A crystals, and of lenticular particles of uniform size at the boundaries between two A crystals. The concentration
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Phase state and phase probability distribution
Optics Communications, 1992Abstract The properties of the phase state and phase probability distribution of photons are investigated in terms of the phase operator formalism based on the relative-number state representation. The calculation method of phase dynamics is also presented.
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2017
The class of distributions on [0, ∞) having a rational Laplace transform (i.e., a Laplace transform that is the fraction between two polynomials) will, for reasons that will become apparent in the next chapter, be referred to as matrix-exponential distributions.
Mogens Bladt, Bo Friis Nielsen
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The class of distributions on [0, ∞) having a rational Laplace transform (i.e., a Laplace transform that is the fraction between two polynomials) will, for reasons that will become apparent in the next chapter, be referred to as matrix-exponential distributions.
Mogens Bladt, Bo Friis Nielsen
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A Phase Transition for the Distribution of Matching Blocks
Combinatorics, Probability and Computing, 1996We show distributional results for the length of the longest matching consecutive subsequence between two independent sequencesA1,A2, …,AmandB1,B2, …,Bnwhose letters are taken from a finite alphabet. We assume thatA1,A2, … are i.i.d. with distribution μ andB1,B2, … are i.i.d. with distribution ν.
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2014
Abstract This chapter formally presents the representation of the quantum density operator by phase space distribution functions of phase space variables, leading to expressions for quantum correlation functions in terms of phase space integrals in which phase space variables for each mode—c-numbers for bosons, Grassmann numbers for ...
Bryan J. Dalton +2 more
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Abstract This chapter formally presents the representation of the quantum density operator by phase space distribution functions of phase space variables, leading to expressions for quantum correlation functions in terms of phase space integrals in which phase space variables for each mode—c-numbers for bosons, Grassmann numbers for ...
Bryan J. Dalton +2 more
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2014
Continuous-time Markov chainsContinuous-time Markov chain (CTMCs)CTMC seealso Continuous-time Markov chain Markov chain seealso Continuous-time Markov chain are a class of stochastic processes with a discrete state space in which the time between transitions follows an exponential distribution.
Peter Buchholz, Jan Kriege, Iryna Felko
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Continuous-time Markov chainsContinuous-time Markov chain (CTMCs)CTMC seealso Continuous-time Markov chain Markov chain seealso Continuous-time Markov chain are a class of stochastic processes with a discrete state space in which the time between transitions follows an exponential distribution.
Peter Buchholz, Jan Kriege, Iryna Felko
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On inferring the number of phases in a coxian phase-type distribution
Communications in Statistics. Stochastic Models, 1998Summary: Coxian phase-type distributions of increasing order were fitted to simulated exponential data by maximum likelihood, and the distributions of the resulting likelihood ratio statistic considered. These distributions resembled mixed chi-squared distributions with mixing probabilities related to parameter redundancies apparent from the estimates ...
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Quasiprobability Distribution and Phase Distribution in Interacting Fock Space
International Journal of Theoretical Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Phase Transitions in 2D Materials
Nature Reviews Materials, 2021Wenbin Li, Ju Li, Xiaofeng Qian
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