Position-dependent effective mass Schrödinger equations for PT-symmetric potentials

Abstract

We use the method of point canonical transformations and choose the Rosen-Morse-type potential as the reference potential to study exact solutions of the position-dependent effective mass Schrodinger equations. Choosing three position-dependent mass distributions, we construct seven exactly solvable target potentials with PT symmetry. The energy spectra of the bound states and corresponding wavefunctions for the PT-symmetric potentials are given in the exact closed forms. We also discuss the isospectrality of different Schrodinger equations with the same mass distribution or different mass distributions for different PT-symmetric potentials.