Bound States for a Klein-Gordon Particle in Vector Plus Scalar Generalized Hulth,n Potentials in D Dimensions

The Green's function associated with a Klein-Gordon particle moving in a D-dimensional space under the action of vector plus scalar q-deformed Hulth,n potentials is constructed by path integration for and . An appropriate approximation of the centrifugal potential term and the technique of space-time transformation are used to reduce the path integral for the generalized Hulth,n potentials into a path integral for q-deformed Rosen-Morse potential. Explicit path integration leads to the radial Green's function for any l state in closed form. The energy spectrum and the correctly normalized wave functions, for a state of orbital quantum number , are obtained. Eventually, the vector q-deformed Hulth,n potential and the Coulomb potentials in D dimensions are considered as special cases.