77265 20190226082308.0 doi 10.1063/1.4892084] sideral 108591 ART-2014-108591 eng (orcid)0000-0002-8402-2332 Rañada, M. F. Universidad de Zaragoza A quantum quasi-harmonic nonlinear oscillator with an isotonic term 2014 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA/E24-1 info:eu-repo/grantAgreement/ES/MICINN/MTM2012-33575 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.243 2014 PHYSICS, MATHEMATICAL 27 / 54 = 0.5 2014 Q2 T2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 55, 8 (2014), 082108 (12 pp.) J. math. phys. JOURNAL OF MATHEMATICAL PHYSICS 0022-2488 355021 http://zaguan.unizar.es/record/77265/files/texto_completo.pdf Postprint 50212 http://zaguan.unizar.es/record/77265/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:77265 articulos driver 2019-02-26-08:06:06 ARTICLE