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arXiv · 1511.08879

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

Kamel Mezlini
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Abstract

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.

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Kamel Mezlini. 2015-11-28. Generalized discrete q-Hermite II polynomials and q-deformed oscillator. https://arxiv.org/abs/1511.08879

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