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Probability Distributions attached to generalised Bergman Spaces on the Poincar\'e Disk

Mathematical Physics 2010-03-24 v1 math.MP Probability Quantum Physics

Abstract

A family of probability distributions attached to a class of generalized weighted Bergman spaces on the Poincar\'e 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.

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Cite

@article{arxiv.1003.4323,
  title  = {Probability Distributions attached to generalised Bergman Spaces on the Poincar\'e Disk},
  author = {Nour Eddine Askour and Zouhair Mouayn},
  journal= {arXiv preprint arXiv:1003.4323},
  year   = {2010}
}

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R2 v1 2026-06-21T15:01:06.260Z