A quantum quasi-harmonic nonlinear oscillator with an isotonic term
Rañada, M. F. (Universidad de Zaragoza)
Resumen: The properties of a nonlinear oscillator with an additional term kg/x2, character- izing the isotonic oscillator, are studied. The nonlinearity affects to both the kinetic term and the potential and combines two nonlinearities associated to two parameters, ¿ and kg, in such a way that for ¿ = 0 all the characteristics of of the standard isotonic system are recovered. The first part is devoted to the classical system and the sec- ond part to the quantum system. This is a problem of quantization of a system with position-dependent mass of the form m(x) = 1/(1 - ¿x2), with a ¿-dependent non- polynomial rational potential and with an additional isotonic term. The Schr ¨odinger equation is exactly solved and the (¿,kg)-dependent wave functions and bound state energies are explicitly obtained for both ¿ < 0 and ¿ > 0.
Idioma: Inglés
DOI: 10.1063/1.4892084]
Año: 2014
Publicado en: JOURNAL OF MATHEMATICAL PHYSICS 55, 8 (2014), 082108 (12 pp.)
ISSN: 0022-2488
Factor impacto JCR: 1.243 (2014)
Categ. JCR: PHYSICS, MATHEMATICAL rank: 27 / 54 = 0.5 (2014) - Q2 - T2
Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2012-33575
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
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Idioma: Inglés
DOI: 10.1063/1.4892084]
Año: 2014
Publicado en: JOURNAL OF MATHEMATICAL PHYSICS 55, 8 (2014), 082108 (12 pp.)
ISSN: 0022-2488
Factor impacto JCR: 1.243 (2014)
Categ. JCR: PHYSICS, MATHEMATICAL rank: 27 / 54 = 0.5 (2014) - Q2 - T2
Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2012-33575
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2019-02-26-08:06:06)
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Record created 2019-02-26, last modified 2019-02-26