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/11449/161092 |
Resumo: | In the 1970s Smith and Tassie [G. B. Smith and L. J. Tassie, Ann. Phys. (NY) 65, 352 (1971)] and Bell and Ruegg [J. S. Bell and H. Ruegg, Nucl. Phys. B 98, 151 (1975); 104, 546 (1976)] 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)] 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 Schrodinger-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)] and Bell and Ruegg [J. S. Bell and H. Ruegg, Nucl. Phys. B 98, 151 (1975); 104, 546 (1976)] 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)] 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 Schrodinger-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.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Coimbra, Dept Phys, CFisUC, P-3004516 Coimbra, PortugalDCTA, Inst Tecnol Aeronaut, Sao Paulo, BrazilUniv Estadual Paulista, Dept Fis & Quim, BR-12516410 Sao Paulo, BrazilUniv Estadual Paulista, Dept Fis & Quim, BR-12516410 Sao Paulo, BrazilFAPESP: 2015/26258-4Amer Physical SocUniv CoimbraDCTAUniversidade Estadual Paulista (Unesp)Alberto, P.Malheiro, M.Frederico, T.Castro, A. de [UNESP]2018-11-26T16:19:06Z2018-11-26T16:19:06Z2015-12-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article4application/pdfhttp://dx.doi.org/10.1103/PhysRevA.92.062137Physical Review A. College Pk: Amer Physical Soc, v. 92, n. 6, 4 p., 2015.1050-2947http://hdl.handle.net/11449/16109210.1103/PhysRevA.92.062137WOS:000367373900001WOS000367373900001.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A1,288info:eu-repo/semantics/openAccess2024-07-01T20:51:57Zoai:repositorio.unesp.br:11449/161092Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:37:46.248967Repositório 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. Castro, A. de [UNESP] |
author_role |
author |
author2 |
Malheiro, M. Frederico, T. Castro, A. de [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Univ Coimbra DCTA Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Alberto, P. Malheiro, M. Frederico, T. Castro, A. de [UNESP] |
description |
In the 1970s Smith and Tassie [G. B. Smith and L. J. Tassie, Ann. Phys. (NY) 65, 352 (1971)] and Bell and Ruegg [J. S. Bell and H. Ruegg, Nucl. Phys. B 98, 151 (1975); 104, 546 (1976)] 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)] 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 Schrodinger-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 2018-11-26T16:19:06Z 2018-11-26T16:19:06Z |
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. College Pk: Amer Physical Soc, v. 92, n. 6, 4 p., 2015. 1050-2947 http://hdl.handle.net/11449/161092 10.1103/PhysRevA.92.062137 WOS:000367373900001 WOS000367373900001.pdf |
url |
http://dx.doi.org/10.1103/PhysRevA.92.062137 http://hdl.handle.net/11449/161092 |
identifier_str_mv |
Physical Review A. College Pk: Amer Physical Soc, v. 92, n. 6, 4 p., 2015. 1050-2947 10.1103/PhysRevA.92.062137 WOS:000367373900001 WOS000367373900001.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A 1,288 |
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info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
4 application/pdf |
dc.publisher.none.fl_str_mv |
Amer Physical Soc |
publisher.none.fl_str_mv |
Amer Physical Soc |
dc.source.none.fl_str_mv |
Web of Science 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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1808128391151353856 |