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

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

2009-03-23

arxiv.org/abs/0903.3841v1

The European Physical Journal A 40 (2) (2009) 143-149.

Physics

Mathematical Physics

17 pages; to be published in European Journal of Physics A (2009)

Scientific paper

10.1140/epja/i2009-10758-9

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 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 constant mass case.

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