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

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

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Quantum Algebra, Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/68184

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307356
 http://arxiv.org/abs/math/0307356

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arXiv