Generalized coherent states for q-oscillator connected with q-Hermite polynomials

Details Generalized coherent states for q-oscillator connected with q-Hermite polynomials Generalized coherent states for q-oscillator connected with q-Hermite polynomials

2003-07-27

arxiv.org/abs/math/0307356v2

Mathematics

Quantum Algebra

Latex2e, 10 pages, Submited to the Proceedings of the international seminar "DAY on DIFFRACTION'2003" v2 Some misprints are co

Scientific paper

For the oscillator-like systems, connected with q-Hermite polynomials, coherent states of Barut-Girardello type are defined. The well-known Arik-Coon oscillator naturally arose in the framework of suggested approach as oscillator, connected with the Rogers q-Hermite polynomials, in the same way as usual oscillator with standard Hermite polynomials. The results about the coherent states for discrete q-Hermite polynomials of II type are quite new.

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