Two approximation schemes to the bound states of the Dirac-Hulthen problem

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2011-09-02
IKHDAİR, SAMEER
Sever, Ramazan
The bound-state (energy spectrum and two-spinor wavefunctions) solutions of the Dirac equation with the Hulthen potential for all angular momenta based on the spin and pseudospin symmetry are obtained. The parametric generalization of the Nikiforov-Uvarov method is used in the calculations. The orbital dependence (spin-orbit-and pseudospin-orbit-dependent coupling too singular 1/r(2)) of the Dirac equation are included to the solution by introducing a more accurate approximation scheme to deal with the centrifugal (pseudo-centrifugal) term. The approximation is also made for the less singular 1/r orbital term in the Dirac equation for a wider energy spectrum. The nonrelativistic limits are also obtained on mapping of parameters.

Citation Formats
S. IKHDAİR and R. Sever, “Two approximation schemes to the bound states of the Dirac-Hulthen problem,” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol. 44, no. 35, pp. 0–0, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62574.