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

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

2004-07-29

arxiv.org/abs/quant-ph/0407252v1

Physics

Quantum Physics

15pages, no figures

Scientific paper

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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