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

Ikhdair, Sameer M.; Sever, Ramazan

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

Authors

Description

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.
12 pages