The Klein-Gordon equation with a generalized Morse potential in D-dimensions

An approximate analytic solution of the Klein-Gordon equation with equal vector and scalar Morse potential for the arbitrary angular momentum values is presented. The corresponding energy eigenvalues and eigenfunctions in D-dimensions are obtained explicitly within the framework of an approximation to the centrifugal potential for any l-states by means of the asymptotic iteration method. In the view of AIM, the total normalized eigenfunctions are derived in terms of the Gauss hypergeometric function.