Analytical solutions of the Klein-Gordon equation for the deformed generalized Deng-Fan potential plus deformed Eckart potential

Abstract

Abstract.In this paper, we study approximate analytical solutions of the Klein-Gordon equation with arbitrary l state for the deformed generalized Deng-Fan potential plus deformed Eckart potential using the Nikiforov-Uvarov method and employing the approximation scheme for the centrifugal term. We obtain the energy eigenvalue equation and corresponding wave functions. Also, we discuss nonrelativistic limit of the energy equation. Finally, some numerical results are presented and show that these results are in good agreement with those obtained previously by other methods.