Analytical solutions of the Klein–Gordon equation with a combined potential

Abstract The supersymmetric approach is employed to calculate any l-state solutions of the Klein–Gordon equation in the non-relativistic limit of potential V with a combined potential by using a proper approximation scheme to the centrifugal term. The energy equation and the corresponding unnormalized wave function are obtained analytically. The non-relativistic limit is obtained and numerical results are computed for some values of n and l with σ = 0.1 , 0.2 , 0.3 and 0.4 using MATLAB 7.5.0.342 programing. In a more interesting form, we studied some special cases and compared our results with the previous once.