Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential

We find the exact bound state solutions and normalization constant for the Dirac equation with scalar-vector-pseudoscalar interaction terms for the generalized Hulthén potential in the case where we have a particular mass function m(x). We also search the solutions for the constant mass where the ob...

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Main Author: Altuğ Arda
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2017/6340409
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author Altuğ Arda
author_facet Altuğ Arda
author_sort Altuğ Arda
collection DOAJ
description We find the exact bound state solutions and normalization constant for the Dirac equation with scalar-vector-pseudoscalar interaction terms for the generalized Hulthén potential in the case where we have a particular mass function m(x). We also search the solutions for the constant mass where the obtained results correspond to the ones when the Dirac equation has spin and pseudospin symmetry, respectively. After giving the obtained results for the nonrelativistic case, we search then the energy spectra and corresponding upper and lower components of Dirac spinor for the case of PT-symmetric forms of the present potential.
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series Advances in High Energy Physics
spelling doaj-art-0502134b8b744f3baeaa3b10c7b1e8ef2025-08-20T02:02:58ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/63404096340409Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén PotentialAltuğ Arda0Department of Physics Education, Hacettepe University, 06800 Ankara, TurkeyWe find the exact bound state solutions and normalization constant for the Dirac equation with scalar-vector-pseudoscalar interaction terms for the generalized Hulthén potential in the case where we have a particular mass function m(x). We also search the solutions for the constant mass where the obtained results correspond to the ones when the Dirac equation has spin and pseudospin symmetry, respectively. After giving the obtained results for the nonrelativistic case, we search then the energy spectra and corresponding upper and lower components of Dirac spinor for the case of PT-symmetric forms of the present potential.http://dx.doi.org/10.1155/2017/6340409
spellingShingle Altuğ Arda
Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential
Advances in High Energy Physics
title Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential
title_full Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential
title_fullStr Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential
title_full_unstemmed Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential
title_short Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential
title_sort solution of effective mass dirac equation with scalar vector and pseudoscalar terms for generalized hulthen potential
url http://dx.doi.org/10.1155/2017/6340409
work_keys_str_mv AT altugarda solutionofeffectivemassdiracequationwithscalarvectorandpseudoscalartermsforgeneralizedhulthenpotential