{ "id": "1003.4323", "version": "v1", "published": "2010-03-23T01:57:17.000Z", "updated": "2010-03-23T01:57:17.000Z", "title": "Probability Distributions attached to generalised Bergman Spaces on the Poincaré Disk", "authors": [ "Nour Eddine Askour", "Zouhair Mouayn" ], "comment": "Submitted paper", "categories": [ "math-ph", "math.MP", "math.PR", "quant-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2010-03-23T01:57:17.000Z" } ], "analyses": { "keywords": [ "probability distributions", "generalised bergman spaces", "poincare disk", "generalized coherent states", "main statistical parameters" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1003.4323E" } } }