Exact Solutions of Klein-Gordon Equation with Exponential Scalar and Vector Potentials

Abstract

We obtain the exact analytical solution of the Klein-Gordon equation for the expo- nential vector and scalar potentials by using the asymptotic iteration method. For the scalar potential greater than the vector potential case, the exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunction solutions are obtained in terms of the confluent hypergeometric functions.