A generalized Euler probability distribution

We construct a class of generalized q-deformed coherent states (Gq-CS) and we introduce a generalization of the Euler probability distribution for which we write down the probability generating function. As application, we discuss the statistics of a q-deformed number operator in these Gq-CS with re...

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Bibliographic Details
Published in:Reports on mathematical physics 2021-06, Vol.87 (3), p.291-311
Main Authors: Mouayn, Zouhaïr, El Moize, Othmane
Format: Article
Language:English
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Summary:We construct a class of generalized q-deformed coherent states (Gq-CS) and we introduce a generalization of the Euler probability distribution for which we write down the probability generating function. As application, we discuss the statistics of a q-deformed number operator in these Gq-CS with respect to many parameters.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(21)00038-0