JAMP  Vol.7 No.5 , May 2019
A New Class of Exactly Solvable Models within the Schrödinger Equation with Position Dependent Mass
Abstract: The study of physical systems endowed with a position-dependent mass (PDM) remains a fundamental issue of quantum mechanics. In this paper we use a new approach, recently developed by us for building the quantum kinetic energy operator (KEO) within the Schrodinger equation, in order to construct a new class of exactly solvable models with a position varying mass, presenting a harmonic-oscillator-like spectrum. To do so we utilize the formalism of supersymmetric quantum mechanics (SUSY QM) along with the shape invariance condition. Recent outcomes of non-Hermitian quantum mechanics are also taken into account.
Cite this paper: Dhahbi, A. , Chargui, Y. and Trablesi, A. (2019) A New Class of Exactly Solvable Models within the Schrödinger Equation with Position Dependent Mass. Journal of Applied Mathematics and Physics, 7, 1013-1026. doi: 10.4236/jamp.2019.75068.

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