Bound state solutions of the Klein - Gordon equation for deformed Hulthen potential with position dependent mass

Abstract

We solve approximately the bound state solutions of the Klein - Gordon equation for deformed Hulthen potential with unequal scalar and vector potential for arbitrary l -state. We obtain explicitly the energy eigenvalues and the corresponding wave function expressed in terms of the Jacobi polynomials. We also discuss the energy eigenvalues of our result for three cases with equal and unequal scalar and vector potentials. Keywords: Klein-Gordon equation; Hulthen potential; bound state DOI:  http://dx.doi.org/10.4038/sljp.v13i1.3780 Sri Lankan Journal of Physics, Vol. 13(1) (2012) 27-40