Nonrelativistic Wave Equations with Gauge Fields

Detalhes bibliográficos
Autor(a) principal: Santana, Ademir Eugênio de
Data de Publicação: 2003
Outros Autores: Khanna, Faqir C., Montigny, M. de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14612
Resumo: Texto completo: acesso restrito. p. 649-671
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spelling Santana, Ademir Eugênio deKhanna, Faqir C.Montigny, M. deSantana, Ademir Eugênio deKhanna, Faqir C.Montigny, M. de2014-02-13T18:27:16Z20030020-7748http://repositorio.ufba.br/ri/handle/ri/14612v. 42, n. 4Texto completo: acesso restrito. p. 649-671We illustrate a metric formulation of Galilean invariance by constructing wave equations with gauge fields. It consists of expressing nonrelativistic equations in a covariant form, but with a five-dimensional Riemannian manifold. First we use the tensorial expressions of electromagnetism to obtain the two Galilean limits of electromagnetism found previously by Le Bellac and Lévy-Leblond. Then we examine the nonrelativistic version of the linear Dirac wave equation. With an Abelian gauge field we find, in a weak field approximation, the Pauli equation as well as the spin—orbit interaction and a part reminiscent of the Darwin term. We also propose a generalized model involving the interaction of the Dirac field with a non-Abelian gauge field; the SU(2) Hamiltonian is given as an example.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2014-01-10T14:54:22Z No. of bitstreams: 1 A. E. Santana.pdf: 104125 bytes, checksum: c6a56eef11a95591c59231ed5df3d7a3 (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2014-02-13T18:27:16Z (GMT) No. of bitstreams: 1 A. E. Santana.pdf: 104125 bytes, checksum: c6a56eef11a95591c59231ed5df3d7a3 (MD5)Made available in DSpace on 2014-02-13T18:27:16Z (GMT). No. of bitstreams: 1 A. E. Santana.pdf: 104125 bytes, checksum: c6a56eef11a95591c59231ed5df3d7a3 (MD5) Previous issue date: 2003http://dx.doi.org/ 10.1023/A:1024485810807reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAGalilean invarianceRiemannian geometryGauge theoryWave equationsNonrelativistic Wave Equations with Gauge FieldsInternational Journal of Theoretical Physicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALA. E. Santana.pdfA. E. Santana.pdfapplication/pdf104125https://repositorio.ufba.br/bitstream/ri/14612/1/A.%20E.%20Santana.pdfc6a56eef11a95591c59231ed5df3d7a3MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14612/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTA. E. Santana.pdf.txtA. E. Santana.pdf.txtExtracted texttext/plain45409https://repositorio.ufba.br/bitstream/ri/14612/3/A.%20E.%20Santana.pdf.txt6420e3d7431e973ee1cf0be49e7512daMD53ri/146122022-07-05 14:03:47.475oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:47Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Nonrelativistic Wave Equations with Gauge Fields
dc.title.alternative.pt_BR.fl_str_mv International Journal of Theoretical Physics
title Nonrelativistic Wave Equations with Gauge Fields
spellingShingle Nonrelativistic Wave Equations with Gauge Fields
Santana, Ademir Eugênio de
Galilean invariance
Riemannian geometry
Gauge theory
Wave equations
title_short Nonrelativistic Wave Equations with Gauge Fields
title_full Nonrelativistic Wave Equations with Gauge Fields
title_fullStr Nonrelativistic Wave Equations with Gauge Fields
title_full_unstemmed Nonrelativistic Wave Equations with Gauge Fields
title_sort Nonrelativistic Wave Equations with Gauge Fields
author Santana, Ademir Eugênio de
author_facet Santana, Ademir Eugênio de
Khanna, Faqir C.
Montigny, M. de
author_role author
author2 Khanna, Faqir C.
Montigny, M. de
author2_role author
author
dc.contributor.author.fl_str_mv Santana, Ademir Eugênio de
Khanna, Faqir C.
Montigny, M. de
Santana, Ademir Eugênio de
Khanna, Faqir C.
Montigny, M. de
dc.subject.por.fl_str_mv Galilean invariance
Riemannian geometry
Gauge theory
Wave equations
topic Galilean invariance
Riemannian geometry
Gauge theory
Wave equations
description Texto completo: acesso restrito. p. 649-671
publishDate 2003
dc.date.issued.fl_str_mv 2003
dc.date.accessioned.fl_str_mv 2014-02-13T18:27:16Z
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://repositorio.ufba.br/ri/handle/ri/14612
dc.identifier.issn.none.fl_str_mv 0020-7748
dc.identifier.number.pt_BR.fl_str_mv v. 42, n. 4
identifier_str_mv 0020-7748
v. 42, n. 4
url http://repositorio.ufba.br/ri/handle/ri/14612
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
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