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

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2011-09-02

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IKHDAİR, SAMEER
Sever, Ramazan

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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.

Subject Keywords

Modelling and Simulation, Statistics and Probability, Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/62574

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

DOI

https://doi.org/10.1088/1751-8113/44/35/355301

Collections

Department of Physics, Article

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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, pp. 0–0, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62574.