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

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

2006-04-13

arxiv.org/abs/quant-ph/0604095v1

Physics

Quantum Physics

12 pages

Scientific paper

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.

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