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 $V(r,\theta )=\frac{\alpha }{r}+\frac{\beta }{r^2{\sin }^2\theta }+\gamma \frac{\cos \theta }{r^2{\sin }^2\theta }$ type.

12 pages, accepted for publication in Journal of Mathematical Physics

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