PROBABILITY DISTRIBUTIONS ATTACHED TO GENERALIZED BARGMANN–FOCK SPACES IN THE COMPLEX PLANE-Reference-Cited by-同舟云学术

PROBABILITY DISTRIBUTIONS ATTACHED TO GENERALIZED BARGMANN–FOCK SPACES IN THE COMPLEX PLANE

Published:2010-06 Issue:02 Volume:13 Page:257-271
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

MOUAYN ZOUHAÏR¹,TOUHAMI AHMED²

Affiliation:

1. Department of Mathematics, Faculty of Sciences and Technics (M'Ghila), Sultan Moulay Slimane University, BP 523, Béni Mellal, Morocco

2. Department of Mathematics and Computer Science, Faculty of Sciences and Technologies (Settat), Hassan 1st University, BP 577, Route de Casablanca, Settat, Morocco

Abstract

Probability distributions attached to generalized Bargmann–Fock spaces in the complex plane are introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As application, quantum photon counting statistics related to the coherent states under consideration are discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021902571000405X

Reference13 articles.

1. Theory of reproducing kernels

2. Espaces de Bargmann généralisés et formules explicites pour leurs noyaux reproduisants

3. Spectral decomposition and resolvent kernel for a magnetic Laplacian in C[sup n]

4. The Confluent Hypergeometric Function

5. `Nonclassical' states in quantum optics: a `squeezed' review of the first 75 years

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A generalized Euler probability distribution;Reports on Mathematical Physics;2021-06

2. Generalized Wehrl entropies and Euclidean Landau levels;International Journal of Wavelets, Multiresolution and Information Processing;2019-07

3. Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels;Journal of Mathematical Physics;2016-07

4. Analysis of generalized Poisson distributions associated with higher Landau levels;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2015-12

5. Husimi’s Q-Function of the Isotonic Oscillator in a Generalized Negative Binomial States Representation;Mathematical Physics, Analysis and Geometry;2014-12