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

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dc.creatorBorzov, Vadim V.
dc.creatorDamaskinsky, Eugene V.
dc.date2003-07-27
dc.date2003-08-18
dc.date.accessioned2026-07-07T04:59:55Z
dc.date.available2026-07-07T04:59:55Z
dc.descriptionFor 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.
dc.descriptionLatex2e, 10 pages, Submited to the Proceedings of the international seminar "DAY on DIFFRACTION'2003" v2 Some misprints are corrected
dc.identifierhttps://arxiv.org/abs/math/0307356
dc.identifierhttp://arxiv.org/abs/math/0307356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68184
dc.subjectQuantum Algebra
dc.subjectClassical Analysis and ODEs
dc.titleGeneralized coherent states for q-oscillator connected with q-Hermite polynomials
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