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https://doi.org/10.1088/0305-4470/38/13/008

has been cited by the following article:

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

  AUTHORS: Anis Dhahbi, Yassine Chargui, Adel Trablesi

  KEYWORDS: Schrödinger Equation, Position Dependent Mass, Kinetic Energy Operator, Solvable Models, Supersymmetric Quantum Mechanics, Shape Invariance

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.5, May 6, 2019

  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.