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Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials

Sameer M. Ikhdair·Ramazan Sever
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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^{-λr} are also found.

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Sameer M. Ikhdair, Ramazan Sever. 2006-04-13. Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials. https://arxiv.org/abs/quant-ph/0604095

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