Variable Mass Quantum Harmonic Oscillator; Exact Solvability and Isospectral Potentials

M. Tchoffo; M. Vubangsi; L. C. Fai

doi:10.9734/PSIJ/2014/9756

Research Article Open access CC BY 3.0

Variable Mass Quantum Harmonic Oscillator; Exact Solvability and Isospectral Potentials

M. Tchoffo, M. Vubangsi, L. C. Fai

Physical Science International Journal · pp. 1370–1382 · Published 15 Sep 2014

10.9734/PSIJ/2014/9756

Abstract

By imposing a particular constraint of solvability on the Liouville normal form of the BenDaniel-Duke type variable mass Schr¨odinger equation, we have derived a class of solvable potentials and harmonic oscillator type solutions for the system. The method has been shown to be applicable in finding isospectral potentials for an infinite possibility of position-dependent mass distributions as well as in determining the effective mass profile for a given effective interaction.

Variable mass isospectral potentials quantum harmonic oscillator Sturm-Liouville transformation quantum states energy spectrum

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M. Tchoffo, M. Vubangsi, L. C. Fai (2014). Variable Mass Quantum Harmonic Oscillator; Exact Solvability and Isospectral Potentials. Physical Science International Journal , 1370–1382. https://doi.org/10.9734/PSIJ/2014/9756

Affiliations

M. Tchoffo — Mesoscopic and Multilayer Structures Laboratory (MMLS), Department of Physics, Faculty of Science, University of Dschang, P.O. Box, 417, West Region, Cameroon
M. Vubangsi — Mesoscopic and Multilayer Structures Laboratory (MMLS), Department of Physics, Faculty of Science, University of Dschang, P.O. Box, 417, West Region, Cameroon
L. C. Fai — Mesoscopic and Multilayer Structures Laboratory (MMLS), Department of Physics, Faculty of Science, University of Dschang, P.O. Box, 417, West Region, Cameroon and Department of Physics, Higher Teachers’ Training College, University of Bamenda, P.O. Box, 39, North West Region, Cameroon

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