Generalized discrete q-Hermite II polynomials and q-deformed oscillator
Mathematical Physics
2015-12-01 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1511.08879,
title = {Generalized discrete q-Hermite II polynomials and q-deformed oscillator},
author = {Kamel Mezlini},
journal= {arXiv preprint arXiv:1511.08879},
year = {2015}
}
Comments
18 pages