On nonlinear coherent states properties for electron-phonon dynamics

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AuteurAREMUA, ISIAKA
AuteurHOUNKONNOU, MAHOUTON NORBERT
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2014
ResumeThis work addresses a construction of a dual pair of nonlinear coherent states (NCS) in the context of changes of bases in the underlying Hilbert space for a model pertaining to an electron-phonon model in the condensed matter physics, obeying a f -deformed Heisenberg algebra. The existence and properties of reproducing kernel in the NCS Hilbert space are studied and discussed; the probability density and its dynamics in the basis of constructed coherent states are provided. A Glauber-Sudarshan P-representation of the density matrix and relevant issues related to the reproducing kernel properties are presented. Moreover, a NCS quantization of classical phase space observables is performed and illustrated in a concrete example of q-deformed coherent states. Finally, an exposition of quantum optical properties is given.
Autre identifiantBECDB-4092
URIhttps://dspace.uac.bj/handle/123456789/3922
Languefr
Fait partie deJournal of Nonlinear Mathematical Physics
SujetDeformed Heisenberg algebra
SujetElectron-phonon dynamics
Sujetcoherent states
SujetCoherent state quantization
TitreOn nonlinear coherent states properties for electron-phonon dynamics
TypeArticle

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