Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling
We study approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential and a Coulomb-like tensor potential for arbitrary spin-orbit quantum number κ under the presence of exact spin and pseudospin (...
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Language: | English |
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Wiley
2013-01-01
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Series: | Advances in High Energy Physics |
Online Access: | http://dx.doi.org/10.1155/2013/196986 |
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author | M. Hamzavi A. A. Rajabi |
author_facet | M. Hamzavi A. A. Rajabi |
author_sort | M. Hamzavi |
collection | DOAJ |
description | We study approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential and a Coulomb-like tensor potential for arbitrary spin-orbit quantum number κ under the presence of exact spin and pseudospin (
p
-spin) symmetries. The bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle are obtained using the parametric generalization of the Nikiforov-Uvarov (NU) method. We show that tensor interaction removes degeneracies between spin and pseudospin doublets. The case of nonrelativistic limit is studied too. |
format | Article |
id | doaj-art-17aa11ea31f643fb9e8ccd6c47a3adf6 |
institution | Kabale University |
issn | 1687-7357 1687-7365 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in High Energy Physics |
spelling | doaj-art-17aa11ea31f643fb9e8ccd6c47a3adf62025-02-03T06:07:16ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/196986196986Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor CouplingM. Hamzavi0A. A. Rajabi1Physics Department, Shahrood University of Technology, P.O. Box 3619995161, Shahrood, IranPhysics Department, Shahrood University of Technology, P.O. Box 3619995161, Shahrood, IranWe study approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential and a Coulomb-like tensor potential for arbitrary spin-orbit quantum number κ under the presence of exact spin and pseudospin ( p -spin) symmetries. The bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle are obtained using the parametric generalization of the Nikiforov-Uvarov (NU) method. We show that tensor interaction removes degeneracies between spin and pseudospin doublets. The case of nonrelativistic limit is studied too.http://dx.doi.org/10.1155/2013/196986 |
spellingShingle | M. Hamzavi A. A. Rajabi Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling Advances in High Energy Physics |
title | Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling |
title_full | Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling |
title_fullStr | Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling |
title_full_unstemmed | Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling |
title_short | Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling |
title_sort | spin and pseudospin symmetries with trigonometric poschl teller potential including tensor coupling |
url | http://dx.doi.org/10.1155/2013/196986 |
work_keys_str_mv | AT mhamzavi spinandpseudospinsymmetrieswithtrigonometricposchltellerpotentialincludingtensorcoupling AT aarajabi spinandpseudospinsymmetrieswithtrigonometricposchltellerpotentialincludingtensorcoupling |