Bound states of the Klein–Gordon equation with vector and scalar five-parameter exponential-type potentials

Abstract

Solving Klein–Gordon equation with equal five-parameter exponential-type scalar and vector potentials by the method of the supersymmetric quantum mechanics and shape invariance, we obtain the exact energy equation for the s-wave bound states. It has been shown that the energy equations for a large class of exponential-type potentials are included in the energy equation for the five-parameter exponential-type potential as special cases.