d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
Mathematical Physics
2007-05-23 v3 math.MP
Abstract
The d-dimensional generalization of the point canonical transformation for a quantum particle endowed with a position-dependent mass in Schrodinger equation is described. Illustrative examples including; the harmonic oscillator, Coulomb, spiked harmonic, Kratzer, Morse oscillator, Poschl-Teller and Hulthen potentials are used as reference potentials to obtain exact energy eigenvalues and eigenfunctions for target potentials at different position-dependent mass settings.
Keywords
Cite
@article{arxiv.math-ph/0602044,
title = {d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass},
author = {Omar Mustafa and S. Habib Mazharimousavi},
journal= {arXiv preprint arXiv:math-ph/0602044},
year = {2007}
}
Comments
14 pages, no figures, to appear in J. Phys. A: Math. Gen