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

Vadim V. Borzov·Eugene V. Damaskinsky
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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.

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Vadim V. Borzov, Eugene V. Damaskinsky. 2004-07-29. Generalized Coherent States for q-oscillator connected with discrete q-Hermite polynomials. https://arxiv.org/abs/quant-ph/0407252

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