Eur. Phys. J. A (2009) 40: 143-149
https://doi.org/10.1140/epja/i2009-10758-9

Regular Article - Theoretical Physics

Exact Klein-Gordon equation with spatially dependent masses for unequal scalar-vector Coulomb-like potentials

Department of Physics, Near East University, Nicosia, North Cyprus, Turkey

^* e-mail: sikhdair@neu.edu.tr
^** e-mail: sameer@neu.edu.tr

Received: 8 January 2009
Revised: 20 February 2009
Accepted: 20 March 2009
Published online: 25 April 2009

Abstract

We study the effect of spatially dependent mass functions over the solution of the Klein-Gordon equation in the (3 + 1 -dimensions for spinless bosonic particles where the mixed scalar-vector Coulomb-like field potentials and masses are directly proportional and inversely proportional to the distance from the force center. The exact bound-state energy eigenvalues and the corresponding wave functions of the Klein-Gordon equation for mixed scalar-vector and pure scalar Coulomb-like field potentials are obtained by means of the Nikiforov-Uvarov (NU) method. The energy spectrum is discussed for different scalar-vector potential mixing cases and also for the constant-mass case.