Involving Nikiforov-Uvarov Method in Schrodinger Equation Obtaining Hartmann Potential

Abstract

The total wave function and the bound state energy are investigated by involving the Nikiforov-Uvarov method to the Schrodinger equation in spherical coordinates employing Hartmann Potential (HP). The HP is considered as the non-central potential that is mostly recognized in nuclear field potentials. Every wave function is specified by a principal quantum number n, angular momentum number l, and magnetic quantum number m. The radial part of the wave function is obtained in terms of the associated Laguerre polynomial, using the coordinate transformation x=cosθ to obtain the angular wave function that depends on inverse associated Legendre polynomials.

Keywords

• Schrödinger equation
• Nikiforov-Uvarov method
• Hartmann Potential