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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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Cited by 6

Wave packet dynamics for a system with position and time-dependent effective mass in an infinite square well

M. Vubangsi, M. Tchoffo, L. C. Fai · Journal of Mathematical Physics · 2015

Transport properties at a sigmoidal graded heterojunction

M. Tchoffo, L. S. Yonya Tchapda, M. Vubangsi · The European Physical Journal Plus · 2020

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