Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials

Abstract

We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the non-central equal scalar and vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state energy eigenvalues and corresponding eigenfunctions are obtained for a particle bound in a potential of $V(r,θ) = \fracα{r} + \fracβ{r^2\sin ^2θ} + γ\frac{\cos θ}{r^2\sin ^2θ}$ type.