Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit

Date

2010-02-01

Author

Aydogdu, Oktay
Sever, Ramazan

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We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term K. We also investigate the energy eigenvalues of the Dirac particles for the well-known Kratzer-Fues and modified Kratzer potentials which are Mie-type potentials.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/62501

Journal

ANNALS OF PHYSICS

DOI

https://doi.org/10.1016/j.aop.2009.10.009

Collections

Department of Physics, Article

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Citation Formats

O. Aydogdu and R. Sever, “Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit,” ANNALS OF PHYSICS, pp. 373–383, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62501.