Generalized discrete q-Hermite II polynomials and q-deformed oscillator

Generalized discrete q-Hermite II polynomials and q-deformed oscillator

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 II polynomials recently introduced in [13]. Furthermore, we construct the wave functions and we determine th...

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Veröffentlicht in:arXiv.org 2015-11
1. Verfasser: Kamel Mezlini
Format: Artikel
Sprache:eng
Schlagworte:
Deformation
Finite differences
Hermite polynomials
Mathematical analysis
Operators (mathematics)
Wave functions
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Zusammenfassung: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 II polynomials recently introduced in [13]. Furthermore, we construct the wave functions and we determine the q-coherent states.
ISSN:2331-8422