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GENERALIZED DISCRETE Q-HERMITE Ⅰ POLYNOMIALS AND Q-DEFORMED OSCILLATOR
Journal article   Peer reviewed

GENERALIZED DISCRETE Q-HERMITE Ⅰ POLYNOMIALS AND Q-DEFORMED OSCILLATOR

Kamel Mezlini and Néji Bettaibi
Acta mathematica scientia, Vol.38(4), pp.1411-1426
2018
DOI: https://doi.org/10.3969/j.issn.0252-9602.2018.04.021

Abstract

basic orthogonal polynomials coherent states quantum algebra
In this paper,we present an explicit realization of q-deformed Calogero-Vasiliev algebra whose generators are first-order q-difference operators related to the generalized discrete q-Hermite Ⅰ polynomials recently introduced in [14].Furthermore,we construct the wave functions and we determine the q-coherent states.

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