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

Research paper by Nour Eddine Askour, Zouhair Mouayn

Indexed on: 22 Mar '10Published on: 22 Mar '10Published in: Mathematical Physics


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.