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arXiv:quant-ph/0407252

Generalized Coherent States for q-oscillator connected with discrete q-Hermite polynomials

Вадим Васильевич Борзов, Eugene V. Damaskinsky

Published Jul 29, 2004• 2 citations
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Abstract

We are continuing here the study of generalized coherent states of Barut-Girardello type for the oscillator-like systems connected with the given set of orthogonal polynomials. In this work we construct the family of coherent states associated with discrete $q$-Hermite polynomials of the II-type and prove the over-completeness of this family of states by constructing the measure for unity decomposition for this family of coherent states.

DOI
10.48550/arxiv.quant-ph/0407252

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