Abstract
In this paper we solve analytical the position-dependent effective mass Klein–Gordon equation for modified Eckart potential plus Hulthen potential with unequal scalar and vector potential for l≠0. The Nikiforov-Uvarov (NU) method is used to obtain the energy eigenvalues and wave functions. We also discuss the energy eigenvalues and wave functions for the constant-mass case. The wave functions of the system are taken in the form of the Laguerre polynomials. The results are the exact analytical. The energy eigenvalues and wave functions are interesting for experimental physicists.
Key words: Klein–Gordon equation, modified Eckart potential plus Hulthen potential, Nikiforov-Uvarov (NU) method, position-dependent mass.