Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
S. M. Ikhdair, Ramazan Sever.
- Bristol : Iop Publishing Ltd., 2009.
We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solution within the framework of the position-dependent effective mass radial Klein-Gordon equation with the scalar and vector Hulthen 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 the literature.
0031-8949
000263891000002
Near East University Article Physics Yakın Doğu Üniversitesi Makale Dımensıonal Schrodınger-Equatıon Nikiforov-Uvarov method Shifted 1/N Expansion