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

References in corpus (1)

• Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation

Cited by in corpus (5)

• Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential
• The Klein-Gordon equation with the Kratzer potential in d dimensions
• Polynomial Solution of Non-Central Potentials
• Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential
• An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems