Exact Solutions of the Schr\"{o}dinger Equation with position-dependent effective mass via general point canonical transformation
Quantum Physics
2009-11-13 v1
Abstract
Exact solutions of the Schrodinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.
Keywords
Cite
@article{arxiv.quant-ph/0604041,
title = {Exact Solutions of the Schr\"{o}dinger Equation with position-dependent effective mass via general point canonical transformation},
author = {Cevdet Tezcan and Ramazan Sever},
journal= {arXiv preprint arXiv:quant-ph/0604041},
year = {2009}
}
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12 pages