Exact solutions for the position‐dependent effective mass Schrödinger equation using the analogy with a PT‐symmetric invariant anharmonic potential
S. K. Moayedi, Mohammad Solimannejad, Abraham F. Jalbout
Abstract The aim of the present study is to obtain exact solutions for the one‐dimensional position‐dependent effective mass Schrödinger equation. After the change of wave function on position‐dependent effective mass Schrödinger equation and comparison between the resulted equation with the PT‐symmetric invariant anharmonic potential, three distinct classes of exact solutions are obtained for the Schrödinger equation. As an illustrative example for a Gaussian form of m(x), energy spectrum, potential energy function and wave function are obtained explicitly. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004
International Journal of Quantum Chemistry•Jan 1, 2004•3 citations