ANALYTICAL SOLUTIONS OF THE KLEIN–FOCK–GORDON EQUATION WITH THE MANNING–ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL

Abstract

In this work, on the condition that scalar potential is equal to vector potential, the bound state solutions of the Klein–Fock–Gordon equation of the Manning–Rosen plus ring-shaped like potential are obtained by Nikiforov–Uvarov method. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states. The conclusion also contain central Manning–Rosen, central and noncentral Hulthén potential.