Physics – Quantum Physics
Scientific paper
2009-01-06
Phys. Scr. 79, 035002(2009)
Physics
Quantum Physics
25 pages, 1 figure
Scientific paper
10.1088/0031-8949/79/03/035002
We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solutions within the framework of the position-dependent effective mass radial Klein-Gordon equation with the scalar and vector Hulth\'{e}n potentials in any arbitrary $D$ dimension and orbital angular momentum quantum numbers $l.$ The Nikiforov-Uvarov (NU) method is used in the calculations. The relativistic real energy levels and corresponding eigenfunctions for the bound states with different screening parameters have been given in a closed form. It is found that the solutions in the case of constant mass and in the case of s-wave ($l=0$) are identical with the ones obtained in literature.
Ikhdair Sameer M.
Sever Ramazan
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