Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field

Detalhes bibliográficos
Autor(a) principal: Castro, Antonio Soares De [UNESP]
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/1806-9126-RBEF-2019-0094
http://hdl.handle.net/11449/213115
Resumo: It is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector potential has the same matrix structure as that one for the planar Dirac oscillator. In particular, the planar Dirac oscillator can be interpreted as a charged particle minimally coupled to a transverse homogeneous magnetic field.
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spelling Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic fieldDirac oscillatorrelativistic planar motiontransverse homogeneous magnetic fieldIt is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector potential has the same matrix structure as that one for the planar Dirac oscillator. In particular, the planar Dirac oscillator can be interpreted as a charged particle minimally coupled to a transverse homogeneous magnetic field.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Universidade Estadual Paulista “Júlio de Mesquita Filho”, Departamento de Física e QuímicaUniversidade Estadual Paulista “Júlio de Mesquita Filho”, Departamento de Física e QuímicaCNPq: 304743/2015-1Sociedade Brasileira de FísicaUniversidade Estadual Paulista (Unesp)Castro, Antonio Soares De [UNESP]2021-07-14T10:50:17Z2021-07-14T10:50:17Z2019-07-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article-application/pdfhttp://dx.doi.org/10.1590/1806-9126-RBEF-2019-0094Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 41, n. 4, p. -, 2019.1806-11171806-9126http://hdl.handle.net/11449/21311510.1590/1806-9126-RBEF-2019-0094S1806-11172019000400418S1806-11172019000400418.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista Brasileira de Ensino de Físicainfo:eu-repo/semantics/openAccess2023-10-10T06:10:38Zoai:repositorio.unesp.br:11449/213115Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-10T06:10:38Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
title Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
spellingShingle Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
Castro, Antonio Soares De [UNESP]
Dirac oscillator
relativistic planar motion
transverse homogeneous magnetic field
title_short Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
title_full Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
title_fullStr Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
title_full_unstemmed Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
title_sort Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
author Castro, Antonio Soares De [UNESP]
author_facet Castro, Antonio Soares De [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Castro, Antonio Soares De [UNESP]
dc.subject.por.fl_str_mv Dirac oscillator
relativistic planar motion
transverse homogeneous magnetic field
topic Dirac oscillator
relativistic planar motion
transverse homogeneous magnetic field
description It is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector potential has the same matrix structure as that one for the planar Dirac oscillator. In particular, the planar Dirac oscillator can be interpreted as a charged particle minimally coupled to a transverse homogeneous magnetic field.
publishDate 2019
dc.date.none.fl_str_mv 2019-07-10
2021-07-14T10:50:17Z
2021-07-14T10:50:17Z
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/10.1590/1806-9126-RBEF-2019-0094
Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 41, n. 4, p. -, 2019.
1806-1117
1806-9126
http://hdl.handle.net/11449/213115
10.1590/1806-9126-RBEF-2019-0094
S1806-11172019000400418
S1806-11172019000400418.pdf
url http://dx.doi.org/10.1590/1806-9126-RBEF-2019-0094
http://hdl.handle.net/11449/213115
identifier_str_mv Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 41, n. 4, p. -, 2019.
1806-1117
1806-9126
10.1590/1806-9126-RBEF-2019-0094
S1806-11172019000400418
S1806-11172019000400418.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Revista Brasileira de Ensino de Física
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv SciELO
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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