General spin and pseudospin symmetries of the Dirac equation
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.92.062137 http://hdl.handle.net/11449/220531 |
Resumo: | In the 1970s Smith and Tassie [G. B. Smith and L. J. Tassie, Ann. Phys. (NY) 65, 352 (1971)APNYA60003-491610.1016/0003-4916(71)90172-2] and Bell and Ruegg [J. S. Bell and H. Ruegg, Nucl. Phys. B 98, 151 (1975)NUPBBO0550-321310.1016/0550-3213(75)90206-0; J. S. Bell and H. Ruegg, Nucl. Phys. B 104, 546 (1976)NUPBBO0550-321310.1016/0550-3213(76)90035-3] independently found SU(2) symmetries of the Dirac equation with scalar and vector potentials. These symmetries, known as pseudospin and spin symmetries, have been extensively researched and applied to several physical systems. Twenty years after, in 1997, the pseudospin symmetry was revealed by Ginocchio [J. N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997)PRLTAO0031-900710.1103/PhysRevLett.78.436] as a relativistic symmetry of the atomic nuclei when it is described by relativistic mean-field hadronic models. The main feature of these symmetries is the suppression of the spin-orbit coupling either in the upper or lower components of the Dirac spinor, thereby turning the respective second-order equations into Schrödinger-like equations, i.e, without a matrix structure. In this paper we propose a generalization of these SU(2) symmetries for potentials in the Dirac equation with several Lorentz structures, which also allow for the suppression of the matrix structure of the second-order equation of either the upper or lower components of the Dirac spinor. We derive the general properties of those potentials and list some possible candidates, which include the usual spin-pseudospin potentials, and also two- and one-dimensional potentials. An application for a particular physical system in two dimensions, electrons in graphene, is suggested. |
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General spin and pseudospin symmetries of the Dirac equationIn the 1970s Smith and Tassie [G. B. Smith and L. J. Tassie, Ann. Phys. (NY) 65, 352 (1971)APNYA60003-491610.1016/0003-4916(71)90172-2] and Bell and Ruegg [J. S. Bell and H. Ruegg, Nucl. Phys. B 98, 151 (1975)NUPBBO0550-321310.1016/0550-3213(75)90206-0; J. S. Bell and H. Ruegg, Nucl. Phys. B 104, 546 (1976)NUPBBO0550-321310.1016/0550-3213(76)90035-3] independently found SU(2) symmetries of the Dirac equation with scalar and vector potentials. These symmetries, known as pseudospin and spin symmetries, have been extensively researched and applied to several physical systems. Twenty years after, in 1997, the pseudospin symmetry was revealed by Ginocchio [J. N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997)PRLTAO0031-900710.1103/PhysRevLett.78.436] as a relativistic symmetry of the atomic nuclei when it is described by relativistic mean-field hadronic models. The main feature of these symmetries is the suppression of the spin-orbit coupling either in the upper or lower components of the Dirac spinor, thereby turning the respective second-order equations into Schrödinger-like equations, i.e, without a matrix structure. In this paper we propose a generalization of these SU(2) symmetries for potentials in the Dirac equation with several Lorentz structures, which also allow for the suppression of the matrix structure of the second-order equation of either the upper or lower components of the Dirac spinor. We derive the general properties of those potentials and list some possible candidates, which include the usual spin-pseudospin potentials, and also two- and one-dimensional potentials. An application for a particular physical system in two dimensions, electrons in graphene, is suggested.CFisUC Physics Department University of CoimbraInstituto Tecnológico de Aeronáutica DCTADepartamento de Física e Química Universidade Estadual PaulistaDepartamento de Física e Química Universidade Estadual PaulistaUniversity of CoimbraDCTAUniversidade Estadual Paulista (UNESP)Alberto, P.Malheiro, M.Frederico, T.De Castro, A. [UNESP]2022-04-28T19:02:27Z2022-04-28T19:02:27Z2015-12-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.92.062137Physical Review A - Atomic, Molecular, and Optical Physics, v. 92, n. 6, 2015.1094-16221050-2947http://hdl.handle.net/11449/22053110.1103/PhysRevA.92.0621372-s2.0-84953297331Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-28T19:02:27Zoai:repositorio.unesp.br:11449/220531Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:53:15.423168Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
General spin and pseudospin symmetries of the Dirac equation |
title |
General spin and pseudospin symmetries of the Dirac equation |
spellingShingle |
General spin and pseudospin symmetries of the Dirac equation Alberto, P. |
title_short |
General spin and pseudospin symmetries of the Dirac equation |
title_full |
General spin and pseudospin symmetries of the Dirac equation |
title_fullStr |
General spin and pseudospin symmetries of the Dirac equation |
title_full_unstemmed |
General spin and pseudospin symmetries of the Dirac equation |
title_sort |
General spin and pseudospin symmetries of the Dirac equation |
author |
Alberto, P. |
author_facet |
Alberto, P. Malheiro, M. Frederico, T. De Castro, A. [UNESP] |
author_role |
author |
author2 |
Malheiro, M. Frederico, T. De Castro, A. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
University of Coimbra DCTA Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Alberto, P. Malheiro, M. Frederico, T. De Castro, A. [UNESP] |
description |
In the 1970s Smith and Tassie [G. B. Smith and L. J. Tassie, Ann. Phys. (NY) 65, 352 (1971)APNYA60003-491610.1016/0003-4916(71)90172-2] and Bell and Ruegg [J. S. Bell and H. Ruegg, Nucl. Phys. B 98, 151 (1975)NUPBBO0550-321310.1016/0550-3213(75)90206-0; J. S. Bell and H. Ruegg, Nucl. Phys. B 104, 546 (1976)NUPBBO0550-321310.1016/0550-3213(76)90035-3] independently found SU(2) symmetries of the Dirac equation with scalar and vector potentials. These symmetries, known as pseudospin and spin symmetries, have been extensively researched and applied to several physical systems. Twenty years after, in 1997, the pseudospin symmetry was revealed by Ginocchio [J. N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997)PRLTAO0031-900710.1103/PhysRevLett.78.436] as a relativistic symmetry of the atomic nuclei when it is described by relativistic mean-field hadronic models. The main feature of these symmetries is the suppression of the spin-orbit coupling either in the upper or lower components of the Dirac spinor, thereby turning the respective second-order equations into Schrödinger-like equations, i.e, without a matrix structure. In this paper we propose a generalization of these SU(2) symmetries for potentials in the Dirac equation with several Lorentz structures, which also allow for the suppression of the matrix structure of the second-order equation of either the upper or lower components of the Dirac spinor. We derive the general properties of those potentials and list some possible candidates, which include the usual spin-pseudospin potentials, and also two- and one-dimensional potentials. An application for a particular physical system in two dimensions, electrons in graphene, is suggested. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-12-31 2022-04-28T19:02:27Z 2022-04-28T19:02:27Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevA.92.062137 Physical Review A - Atomic, Molecular, and Optical Physics, v. 92, n. 6, 2015. 1094-1622 1050-2947 http://hdl.handle.net/11449/220531 10.1103/PhysRevA.92.062137 2-s2.0-84953297331 |
url |
http://dx.doi.org/10.1103/PhysRevA.92.062137 http://hdl.handle.net/11449/220531 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 92, n. 6, 2015. 1094-1622 1050-2947 10.1103/PhysRevA.92.062137 2-s2.0-84953297331 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1808129260903202816 |