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

• 作者: Adel Trablesi Anis Dhahbi Yassine Chargui
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Schr?dinger Equation POSITION DEPENDENT MASS Kinetic Energy Operator SOLVABLE Models SUPERSYMMETRIC Quantum Mechanics Shape INVARIANCE
• 年，卷（期）: 2019,（5）
• 页码范围: 1013-1026
• 页数: 14页
• 分类号: O1

摘要

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.