Solutions of One-Dimensional Effective Mass Schrödinger Equation for PT-Symmetric Scarf Potential

Abstract

The one-dimensional effective mass Schrdinger equation for PT -symmetric Scarf potential is investigated. The analytical expressions of energy eigenvalue and corresponding wave function are presented. They are accomplished by using an appropriate coordinate transformation to map the transformed exactly solvable one-dimensional Schrdinger equation with constant mass into the position-dependent mass equation. In the computation, three different forms of mass distributions are considered.