Klein-Gordon equation with Hulth'en potential and position-dependent mass

Abstract

In this paper the solutions of the s -wave Klein-Gordon (K-G) equation with spatially dependent exponential-type mass for Hulth'en-type vector and scalar potential are calculated by using the Nikiforov-Uvarov (NU) method. Energy eigenvalues and wave functions are obtained also for the constant-mass case. It is seen that the energy eigenvalues strongly depend on the potential parameters. The wave functions of the system are taken in the form of the Laguerre polynomials and the energy spectra of the system are discussed. In the limit of constant mass, the wave functions and energy eigenvalues are in good agreement with the results previously.