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
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.
PACS: 03.65.Pm Relativistic wave equations – / 03.65.Ge Solutions of wave equations: bound states –
© SIF, Springer-Verlag Berlin Heidelberg, 2009