Bound state solutions of Schrödinger equation for Rydberg potential energy function

Abstract

The arbitrary angular momentum solutions of the Schrödinger equation for a diatomic molecule with the Rydberg potential energy function D {1 +ar}exp(ar) has been presented. The energy eigenvalues and the corresponding eigenfunctions are calculated analytically by the use of
Nikiforov-Uvarov (NU) method which is related to the solutions in terms of Jacobi polynomials.