Approximate Solutions of the Dirac Equation for the Manning-Rosen Potential Including the Spin-Orbit Coupling Term

The bound-state solutions of the Dirac equation for the Manning-Rosen potential are presented approximately for arbitrary spin-orbit quantum number  κ . The energy eigenvalues and corresponding two-component spinors of the two Dirac particles are obtained in the closed form by using the framework of...

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Bibliographic Details
Published in:International journal of theoretical physics 2009-04, Vol.48 (4), p.1142-1149
Main Author: Taşkın, F.
Format: Article
Language:English
Subjects:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary:The bound-state solutions of the Dirac equation for the Manning-Rosen potential are presented approximately for arbitrary spin-orbit quantum number  κ . The energy eigenvalues and corresponding two-component spinors of the two Dirac particles are obtained in the closed form by using the framework of the spin symmetry and pseudospin symmetry concept. Two special cases κ =±1 and the Hulthén potential are briefly investigated.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-008-9887-7