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

Published 28 Nov 2015 in math-ph and math.MP | (1511.08879v1)

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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Authors (1)

  1. Kamel Mezlini 

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