Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles

Detalhes bibliográficos
Autor(a) principal: Mejía, F. M.
Data de Publicação: 2002
Outros Autores: Pleitez, V. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/S1806-11172002000100007
http://hdl.handle.net/11449/212386
Resumo: We consider Schwinger's method of angular momentum addition using the SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the total spin states obtained are: one boson singlet state and an arbitrary number of spin-1/2 states, the later ones are energy degenerate. It means that we have in this case supersymmetric quantum mechanics and also the addition of angular momentum for massless particles. We review too the cases of two bosonic and two fermionic oscillators.
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spelling Schwinger's oscillator method, supersymmetric quantum mechanics and massless particlesWe consider Schwinger's method of angular momentum addition using the SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the total spin states obtained are: one boson singlet state and an arbitrary number of spin-1/2 states, the later ones are energy degenerate. It means that we have in this case supersymmetric quantum mechanics and also the addition of angular momentum for massless particles. We review too the cases of two bosonic and two fermionic oscillators.Universidad de El Salvador, Facultad de Ciencias Naturales y MatemáticaUniversidade Estadual Paulista, Instituto de Física TeóricaUniversidade Estadual Paulista, Instituto de Física TeóricaSociedade Brasileira de FísicaUniversidad de El SalvadorUniversidade Estadual Paulista (Unesp)Mejía, F. M.Pleitez, V. [UNESP]2021-07-14T10:39:11Z2021-07-14T10:39:11Z2002-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article41-46application/pdfhttp://dx.doi.org/10.1590/S1806-11172002000100007Revista Brasileira de Ensino de Física. São Paulo, SP, Brazil: Sociedade Brasileira de Física, v. 24, n. 1, p. 41-46, 2002.1806-11171806-9126http://hdl.handle.net/11449/21238610.1590/S1806-11172002000100007S1806-11172002000100007S1806-11172002000100007.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista Brasileira de Ensino de Físicainfo:eu-repo/semantics/openAccess2023-10-01T06:01:32Zoai:repositorio.unesp.br:11449/212386Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-05-23T11:07:05.687644Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
title Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
spellingShingle Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
Mejía, F. M.
title_short Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
title_full Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
title_fullStr Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
title_full_unstemmed Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
title_sort Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
author Mejía, F. M.
author_facet Mejía, F. M.
Pleitez, V. [UNESP]
author_role author
author2 Pleitez, V. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidad de El Salvador
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Mejía, F. M.
Pleitez, V. [UNESP]
description We consider Schwinger's method of angular momentum addition using the SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the total spin states obtained are: one boson singlet state and an arbitrary number of spin-1/2 states, the later ones are energy degenerate. It means that we have in this case supersymmetric quantum mechanics and also the addition of angular momentum for massless particles. We review too the cases of two bosonic and two fermionic oscillators.
publishDate 2002
dc.date.none.fl_str_mv 2002-03
2021-07-14T10:39:11Z
2021-07-14T10:39:11Z
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/S1806-11172002000100007
Revista Brasileira de Ensino de Física. São Paulo, SP, Brazil: Sociedade Brasileira de Física, v. 24, n. 1, p. 41-46, 2002.
1806-1117
1806-9126
http://hdl.handle.net/11449/212386
10.1590/S1806-11172002000100007
S1806-11172002000100007
S1806-11172002000100007.pdf
url http://dx.doi.org/10.1590/S1806-11172002000100007
http://hdl.handle.net/11449/212386
identifier_str_mv Revista Brasileira de Ensino de Física. São Paulo, SP, Brazil: Sociedade Brasileira de Física, v. 24, n. 1, p. 41-46, 2002.
1806-1117
1806-9126
10.1590/S1806-11172002000100007
S1806-11172002000100007
S1806-11172002000100007.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
dc.format.none.fl_str_mv 41-46
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
_version_ 1803045771667308544

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