Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials
Quantum Physics
2007-05-23 v1
Abstract
The analytical solutions of the N-dimensional Schrodinger equation with position-dependent mass for a general class of central potentials is obtained via the series expansion method. The position-dependent mass is expanded in series about origin. As a special case, the analytical bound-state series solutions and the recursion relation of the linear-plus-Coulomb (Cornell) potential with the decaying position-dependent mass m=m_{0}e^{-\lambda r} are also found.
Keywords
Cite
@article{arxiv.quant-ph/0604095,
title = {Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials},
author = {Sameer M. Ikhdair and Ramazan Sever},
journal= {arXiv preprint arXiv:quant-ph/0604095},
year = {2007}
}
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12 pages