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Two approximation schemes to the bound states of the Dirac-Hulthen problem
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Date
2011-09-02
Author
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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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.