GENERALIZED DEFORMED HARMONIC OSCILLATORS IN THE FRAMEWORK OF UNIFIED (q; α, β, γ; ν)-DEFORMATION

Autor:	I. M. Burban
Rok vydání:	2010
Předmět:	Physics Nuclear and High Energy Physics Hermite polynomials Special functions Quantum mechanics Anharmonicity General Physics and Astronomy Coherent states Astronomy and Astrophysics Operator theory Type (model theory) Quantum Harmonic oscillator
Zdroj:	Modern Physics Letters A. 25:1239-1249
ISSN:	1793-6632 0217-7323
Popis:	The aim of this paper is the study of the generalized deformed quantum oscillators in the framework (q; α, β, γ; ν)-deformed of oscillator algebra. By selecting the special values of deformation parameters, we have separated a generalized deformed oscillator connected with generalized discrete Hermite II polynomials. By these means we have constructed Barut–Girardello type coherent states of this oscillator. We have found the conditions on the (q; α, β, γ; ν)-deformation parameters at which the free (q; α, β, γ; ν)-deformed oscillator approximate the usual anharmonic oscillator in the homogeneous Kerr medium.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::69493de690ac42ac56feb3d150b23d26 https://doi.org/10.1142/s0217732310033050 Zobrazit plný text záznamu