Journal of Southwest China Normal University
Exact Solutions of Bound States of the Schrdinger Equation with the Ring-Shaped Hartmann Potential
Zidong Chen
Abstract
The Schrdinger equation with the ring-shaped Hartmann potential is solved by using the usual method of variable separation in spherical polar coordinates. The exact energy equation is obtained by then solved angle equation and radial equation. The normalized angle wavefunction and radial wavefunction are presented. The general calculation formulas for radial matrix elements and radial average values of the Hartmann potential are obtained.