Issue Eur. Phys. J. A Volume 40, Number 2, May 2009 Page(s) 143 - 149 Section Regular Article - Theoretical Physics DOI 10.1140/epja/i2009-10758-9 Published online 25 April 2009

Eur. Phys. J. A 40, 143-149 (2009)
DOI: 10.1140/epja/i2009-10758-9

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

S. M. Ikhdair

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

sikhdair@neu.edu.tr
sameer@neu.edu.tr

Received 8 January 2009 / Revised version 20 February 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.

PACS
03.65.Pm - Relativistic wave equations.
03.65.Ge - Solutions of wave equations: bound states.

Correspondence: sikhdair@neu.edu.tr
sameer@neu.edu.tr

Communicated by G. Orlandini

© Società Italiana di Fisica, Springer-Verlag 2009

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