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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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. |
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DOI: | 10.48550/arxiv.1511.08879 |