Dirac Oscillator in a Galilean Covariant Non-commutative Space

Detalhes bibliográficos
Autor(a) principal: Melo, Genilson Ribeiro de
Data de Publicação: 2013
Outros Autores: Montigny, M. de, Pompeia, P. J., Santos, E. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/12924
Resumo: Texto completo. Acesso restrito. p. 441-457
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spelling Melo, Genilson Ribeiro deMontigny, M. dePompeia, P. J.Santos, E. S.Melo, Genilson Ribeiro deMontigny, M. dePompeia, P. J.Santos, E. S.2013-09-12T17:06:02Z2013-09-12T17:06:02Z20130020-7748http://www.repositorio.ufba.br/ri/handle/ri/12924v. 52, n. 2Texto completo. Acesso restrito. p. 441-457We study the Galilean Dirac oscillator in a non-commutative situation, with space-space and momentum-momentum non-commutativity. The wave equation is obtained via a ‘Galilean covariant’ approach, which consists in projecting the covariant equations from a (4, 1)-dimensional manifold with light-cone coordinates, to a (3, 1)-dimensional Galilean space-time. We obtain the exact wave functions and their energy levels for the plane and discuss the effects of non-commutativity.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-07-08T12:35:21Z No. of bitstreams: 1 111111111ss.pdf: 635816 bytes, checksum: 6a146e96c6f935199c048240c76f51f7 (MD5)Rejected by Alda Lima da Silva(sivalda@ufba.br), reason: Material de Física on 2013-08-16T19:01:16Z (GMT)Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-08-19T16:49:42Z No. of bitstreams: 1 111111111ss.pdf: 635816 bytes, checksum: 6a146e96c6f935199c048240c76f51f7 (MD5)Rejected by Alda Lima da Silva(sivalda@ufba.br), reason: Unidade fora da demanda on 2013-08-23T22:08:44Z (GMT)Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-08-26T12:37:02Z No. of bitstreams: 1 111111111ss.pdf: 635816 bytes, checksum: 6a146e96c6f935199c048240c76f51f7 (MD5)Approved for entry into archive by Alda Lima da Silva(sivalda@ufba.br) on 2013-09-12T17:06:02Z (GMT) No. of bitstreams: 1 111111111ss.pdf: 635816 bytes, checksum: 6a146e96c6f935199c048240c76f51f7 (MD5)Made available in DSpace on 2013-09-12T17:06:02Z (GMT). No. of bitstreams: 1 111111111ss.pdf: 635816 bytes, checksum: 6a146e96c6f935199c048240c76f51f7 (MD5) Previous issue date: 2013SalvadorInternational Journal of Theoretical Physics10.1007/s10773-012-1350-0reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBANon-commutative geometryGalilean covarianceDirac equationDirac Oscillator in a Galilean Covariant Non-commutative SpaceInternational Journal of Theoretical Physicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL111111111ss.pdf111111111ss.pdfapplication/pdf635816https://repositorio.ufba.br/bitstream/ri/12924/1/111111111ss.pdf6a146e96c6f935199c048240c76f51f7MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/12924/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT111111111ss.pdf.txt111111111ss.pdf.txtExtracted texttext/plain33329https://repositorio.ufba.br/bitstream/ri/12924/3/111111111ss.pdf.txt14726a6d982477cab4e70da4d8cdcda0MD53ri/129242022-08-08 13:19:04.087oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-08T16:19:04Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Dirac Oscillator in a Galilean Covariant Non-commutative Space
dc.title.alternative.pt_BR.fl_str_mv International Journal of Theoretical Physics
title Dirac Oscillator in a Galilean Covariant Non-commutative Space
spellingShingle Dirac Oscillator in a Galilean Covariant Non-commutative Space
Melo, Genilson Ribeiro de
Non-commutative geometry
Galilean covariance
Dirac equation
title_short Dirac Oscillator in a Galilean Covariant Non-commutative Space
title_full Dirac Oscillator in a Galilean Covariant Non-commutative Space
title_fullStr Dirac Oscillator in a Galilean Covariant Non-commutative Space
title_full_unstemmed Dirac Oscillator in a Galilean Covariant Non-commutative Space
title_sort Dirac Oscillator in a Galilean Covariant Non-commutative Space
author Melo, Genilson Ribeiro de
author_facet Melo, Genilson Ribeiro de
Montigny, M. de
Pompeia, P. J.
Santos, E. S.
author_role author
author2 Montigny, M. de
Pompeia, P. J.
Santos, E. S.
author2_role author
author
author
dc.contributor.author.fl_str_mv Melo, Genilson Ribeiro de
Montigny, M. de
Pompeia, P. J.
Santos, E. S.
Melo, Genilson Ribeiro de
Montigny, M. de
Pompeia, P. J.
Santos, E. S.
dc.subject.por.fl_str_mv Non-commutative geometry
Galilean covariance
Dirac equation
topic Non-commutative geometry
Galilean covariance
Dirac equation
description Texto completo. Acesso restrito. p. 441-457
publishDate 2013
dc.date.accessioned.fl_str_mv 2013-09-12T17:06:02Z
dc.date.available.fl_str_mv 2013-09-12T17:06:02Z
dc.date.issued.fl_str_mv 2013
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://www.repositorio.ufba.br/ri/handle/ri/12924
dc.identifier.issn.none.fl_str_mv 0020-7748
dc.identifier.number.pt_BR.fl_str_mv v. 52, n. 2
identifier_str_mv 0020-7748
v. 52, n. 2
url http://www.repositorio.ufba.br/ri/handle/ri/12924
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv International Journal of Theoretical Physics
publisher.none.fl_str_mv International Journal of Theoretical Physics
dc.source.pt_BR.fl_str_mv 10.1007/s10773-012-1350-0
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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