Generalized Binomial Probability Distributions Attached to Landau Levels on the Riemann Sphere

A family of generalized binomial probability distributions attached to Landau levels on the Riemann sphere is introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As an application, photon number statistics related to coherent s...

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Bibliographic Details
Published in:Advances in mathematical physics 2011-01, Vol.2011 (2011), p.1-17
Main Authors: Ghanmi, Allal, Mouayn, Zouhaïr, Hafoud, A.
Format: Article
Language:English
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Summary:A family of generalized binomial probability distributions attached to Landau levels on the Riemann sphere is introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As an application, photon number statistics related to coherent states under consideration are discussed.
ISSN:1687-9120
1687-9139
DOI:10.1155/2011/393417