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

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Journal Title, Volume, Page: 
Eur. Phys. J. A 40, 143–149 (2009)
Year of Publication: 
2009
Authors: 
S.M. Ikhdair
Preferred Abstract (Original): 
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 KleinGordon 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.