Probability Distributions attached to generalised Bergman Spaces on the Poincaré Disk

Details Probability Distributions attached to generalised Bergman Spaces on the Poincaré Disk Probability Distributions attached to generalised Bergman Spaces on the Poincaré Disk

2010-03-23

arxiv.org/abs/1003.4323v1

Physics

Mathematical Physics

Submitted paper

Scientific paper

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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