Probability Distributions attached to generalised Bergman Spaces on the Poincaré Disk

2010/03/23 by Nour Eddine Askour, Askour, Nour Eddine, Zouhaı̈r Mouayn +2 · 3 citations
Mathematics · Physics and Astronomy · #Class (philosophy) #Computer science #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Physics #Poincaré conjecture #Probability (math.PR) #Probability distribution #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Statistical physics #Statistics #math-ph #math.MP #math.PR #quant-ph

paper · pdf · doi:10.48550/arxiv.1003.4323

published in arXiv (Cornell University) (Cornell University) · Submitted paper

arxiv created 2010/03/23 · openalex publication_date 2010/03/23 · arxiv updated 2010/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A family of probability distributions attached to a class of generalized weighted Bergman spaces on the Poincaré disk are introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As application, photon number statistics related to coherent states under consideration are discussed.

Citations

• Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces

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