A New Class of Exactly Solvable Models within the Schrödinger Equation with Position Dependent Mass

@article{Dhahbi2019ANC,
title={A New Class of Exactly Solvable Models within the Schr{\"o}dinger Equation with Position Dependent Mass},
author={A. Dhahbi and Y. Chargui and Adel Trablesi},
journal={Journal of Applied Mathematics and Physics},
year={2019},
volume={07},
pages={1013-1026}
}

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… Expand