Physica Scripta

Series Solutions of theN-Dimensional Effective-Mass Schrödinger Equation with the Power Law Potential

Zidong Chen, Gang Chen

Published Jan 1, 2005• 9 citations

Abstract

In this paper the N -dimensional Schrödinger equation with position-dependent effective mass for any physical potential is derived. As an example, the analytical bound state solutions of the power law potential with the position dependent mass are obtained by series expansion method. The special cases of the Coulomb potential and the harmonic oscillator are discussed.

DOI: 10.1238/physica.regular.072a00011

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