Artículo
On a q-extension of the linear harmonic oscillator with the continuous orthogonality property on R
Autor/es | Álvarez Nodarse, Renato
Atakishiyeva Kyazim Zade, Messouma Atakishiyev Mektiyev, Natig |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2005-11 |
Fecha de depósito | 2016-05-31 |
Publicado en |
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Resumen | We discuss a q-analogue of the linear harmonic oscillator in quantum mechanics, based on a q-extension of the classical Hermite polynomials Hn(x), recently introduced by us in [1] R. Alvarez-Nodarse, M. K. Atakishiyeva, ... We discuss a q-analogue of the linear harmonic oscillator in quantum mechanics, based on a q-extension of the classical Hermite polynomials Hn(x), recently introduced by us in [1] R. Alvarez-Nodarse, M. K. Atakishiyeva, and N. M. Atakishiyev.. On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R. Boletín de la Sociedad Matemática Mexicana (3), 8, No.2, pp.127–139, 2002. The wave functions in this q-model of the quantum harmonic oscillator possess the continuous orthogonality property on the whole real line R with respect to a positive weight function. A detailed description of the corresponding q-system is carried out. |
Identificador del proyecto | BFM 2003-06335-C03-01
FQM-0262 IN102603-3 |
Cita | Álvarez Nodarse, R., Atakishiyeva Kyazim Zade, M. y Atakishiyev Mektiyev, N. (2005). On a q-extension of the linear harmonic oscillator with the continuous orthogonality property on R. Czechoslovak Journal of Physics, 55 (11), 1315-1320. |
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