A spin Hamiltonian for non-relativistic electrons and their interaction with an external field
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/12589 |
Resumo: | Texto completo: acesso restrito. p.1-10 |
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Santos, E. S.Montigny, M. deMelo, Genilson Ribeiro deRivelino, RobertoSantos, E. S.Montigny, M. deMelo, Genilson Ribeiro deRivelino, Roberto2013-08-16T12:50:40Z20101751-8113http://www.repositorio.ufba.br/ri/handle/ri/12589v. 43, n. 33Texto completo: acesso restrito. p.1-10We investigate the spin of the electron in a non-relativistic context by using the Galilean covariant Pauli–Dirac equation. From a non-relativistic Lagrangian density, we find an appropriate Dirac-like Hamiltonian in the momentum representation, which includes the spin operator in the Galilean covariant framework. Within this formalism, we show that the total angular momentum appears as a constant of motion. Additionally, we propose a non-minimal coupling that describes the Galilean interaction between an electron and the electromagnetic field. Thereby, we obtain, in a natural way, the Hamiltonian including all the essential interaction terms for the electron in a general vector field.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-08-15T16:17:54Z No. of bitstreams: 1 1751-8121_43_33_335304.pdf: 145628 bytes, checksum: dceb5bfeb211c9948357e71286d3dfaa (MD5)Approved for entry into archive by Rodrigo Meirelles(rodrigomei@ufba.br) on 2013-08-16T12:50:40Z (GMT) No. of bitstreams: 1 1751-8121_43_33_335304.pdf: 145628 bytes, checksum: dceb5bfeb211c9948357e71286d3dfaa (MD5)Made available in DSpace on 2013-08-16T12:50:40Z (GMT). No. of bitstreams: 1 1751-8121_43_33_335304.pdf: 145628 bytes, checksum: dceb5bfeb211c9948357e71286d3dfaa (MD5) Previous issue date: 2010http://dx.doi.org/10.1088/1751-8113/43/33/335304reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAA spin Hamiltonian for non-relativistic electrons and their interaction with an external fieldJournal of Physics A: Mathematical and Theoreticalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL1751-8121_43_33_335304.pdf1751-8121_43_33_335304.pdfapplication/pdf145628https://repositorio.ufba.br/bitstream/ri/12589/1/1751-8121_43_33_335304.pdfdceb5bfeb211c9948357e71286d3dfaaMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/12589/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT1751-8121_43_33_335304.pdf.txt1751-8121_43_33_335304.pdf.txtExtracted texttext/plain27349https://repositorio.ufba.br/bitstream/ri/12589/3/1751-8121_43_33_335304.pdf.txtee8773b5aa4a721d3dd70d40d56cd7b0MD53ri/125892022-07-05 14:03:48.832oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
dc.title.pt_BR.fl_str_mv |
A spin Hamiltonian for non-relativistic electrons and their interaction with an external field |
dc.title.alternative.pt_BR.fl_str_mv |
Journal of Physics A: Mathematical and Theoretical |
title |
A spin Hamiltonian for non-relativistic electrons and their interaction with an external field |
spellingShingle |
A spin Hamiltonian for non-relativistic electrons and their interaction with an external field Santos, E. S. |
title_short |
A spin Hamiltonian for non-relativistic electrons and their interaction with an external field |
title_full |
A spin Hamiltonian for non-relativistic electrons and their interaction with an external field |
title_fullStr |
A spin Hamiltonian for non-relativistic electrons and their interaction with an external field |
title_full_unstemmed |
A spin Hamiltonian for non-relativistic electrons and their interaction with an external field |
title_sort |
A spin Hamiltonian for non-relativistic electrons and their interaction with an external field |
author |
Santos, E. S. |
author_facet |
Santos, E. S. Montigny, M. de Melo, Genilson Ribeiro de Rivelino, Roberto |
author_role |
author |
author2 |
Montigny, M. de Melo, Genilson Ribeiro de Rivelino, Roberto |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Santos, E. S. Montigny, M. de Melo, Genilson Ribeiro de Rivelino, Roberto Santos, E. S. Montigny, M. de Melo, Genilson Ribeiro de Rivelino, Roberto |
description |
Texto completo: acesso restrito. p.1-10 |
publishDate |
2010 |
dc.date.issued.fl_str_mv |
2010 |
dc.date.accessioned.fl_str_mv |
2013-08-16T12:50:40Z |
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/12589 |
dc.identifier.issn.none.fl_str_mv |
1751-8113 |
dc.identifier.number.pt_BR.fl_str_mv |
v. 43, n. 33 |
identifier_str_mv |
1751-8113 v. 43, n. 33 |
url |
http://www.repositorio.ufba.br/ri/handle/ri/12589 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
dc.source.pt_BR.fl_str_mv |
http://dx.doi.org/10.1088/1751-8113/43/33/335304 |
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reponame:Repositório Institucional da UFBA instname:Universidade Federal da Bahia (UFBA) instacron:UFBA |
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