arXiv:math-ph/0602044 · Journal of Physics A Mathematical and General

d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass

Omar Mustafa, S. Habib Mazharimousavi

Published Aug 2, 2006• 60 citations

Abstract

The d -dimensional generalization of the point canonical transformation for a quantum particle endowed with a position-dependent mass in the Schrödinger equation is described. Illustrative examples including the harmonic oscillator, Coulomb, spiked harmonic, Kratzer, Morse oscillator, Pőschl–Teller and Hulthén potentials are used as reference potentials to obtain exact energy eigenvalues and eigenfunctions for target potentials at different position-dependent mass settings.

DOI: 10.1088/0305-4470/39/33/020

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