Generalized q-deformed oscillators, q-Hermite polynomials, generalized coherent states

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dc.creatorBurban, I. M.
dc.date2006-07-20
dc.date.accessioned2026-07-07T07:20:33Z
dc.date.available2026-07-07T07:20:33Z
dc.descriptionThe aim of this paper is to study generalized q-analogs of the well-known q-deformed harmonic oscillators and to connect them with q-Hermite polynomials. We give a construction of the appropriate oscillator-like algebras and show that corresponding Hermite polynomials are generalization of the discrete q-Hermite I and the discrete q-Hermite II polynomials. We also construct generalized coherent states of Barut-Girardello type for oscillator-like systems connected with these polynomials.
dc.description21 pages, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/0607045
dc.identifierhttp://arxiv.org/abs/math-ph/0607045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114991
dc.subjectMathematical Physics
dc.titleGeneralized q-deformed oscillators, q-Hermite polynomials, generalized coherent states
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