Analytical Solution of Schrodinger Equation for Modified Anisotropic Nonquadratic with Exponential Potential Using Supersymmetric Quantum Mechanics

Schrodinger equation for an anisotropic nonquadratic potential that modified by exponential form in axial part is investigated using supersymmetric approach. The three dimensional Schrodinger equation for an anisotropic nonquadratic potential in cylindrical coordinate is separated into three parts that contain one dimensional Schrödinger type equation which are solved using supersymmetric operator and the idea of shape invariant potential. The energy spectrum and the total wave functions are obtained. (paper)