Solutions for the landau problem using Symplectic representations of the Galilei group

Detalhes bibliográficos
Autor(a) principal: Vianna, J. D. M.
Data de Publicação: 2013
Outros Autores: Khanna, Faqir C., Fernandes, M. C. B., Amorim, Ronni G. G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/16827
Resumo: Texto completo: acesso restrito. p. 1-12
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spelling Vianna, J. D. M.Khanna, Faqir C.Fernandes, M. C. B.Amorim, Ronni G. G.Vianna, J. D. M.Khanna, Faqir C.Fernandes, M. C. B.Amorim, Ronni G. G.2014-12-17T21:46:00Z20130217-751Xhttp://repositorio.ufba.br/ri/handle/ri/16827v. 28, n. 06Texto completo: acesso restrito. p. 1-12Symplectic unitary representations for the Galilei group are studied. The formalism is based on the noncommutative structure of the star-product, and using group theory approach as a guide, a consistent physical theory in phase space is constructed. The state of a quantum mechanics system is described by a quasi-probability amplitude that is in association with the Wigner function. As a result, the Schrödinger and Pauli–Schrödinger equations are derived in phase space. As an application, the Landau problem in phase space is studied. This shows how this method of quantum mechanics in phase space is to be brought to the realm of spatial noncommutative theories.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2014-12-17T13:18:58Z No. of bitstreams: 1 J. D. M. Vianna.pdf: 195049 bytes, checksum: a6111df46c65a2cc129e3754a1aa76ea (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2014-12-17T21:46:00Z (GMT) No. of bitstreams: 1 J. D. M. Vianna.pdf: 195049 bytes, checksum: a6111df46c65a2cc129e3754a1aa76ea (MD5)Made available in DSpace on 2014-12-17T21:46:00Z (GMT). No. of bitstreams: 1 J. D. M. Vianna.pdf: 195049 bytes, checksum: a6111df46c65a2cc129e3754a1aa76ea (MD5) Previous issue date: 2013http://dx.doi.org/ 10.1142/S0217751X13500139reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAMoyal productPhase spaceQuantum fieldsGalilei groupLandau problemWigner functionSolutions for the landau problem using Symplectic representations of the Galilei groupInternational Journal of Modern Physics Ainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALJ. D. M. Vianna.pdfJ. D. M. Vianna.pdfapplication/pdf195049https://repositorio.ufba.br/bitstream/ri/16827/1/J.%20D.%20M.%20Vianna.pdfa6111df46c65a2cc129e3754a1aa76eaMD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/16827/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTJ. D. M. Vianna.pdf.txtJ. D. M. Vianna.pdf.txtExtracted texttext/plain29042https://repositorio.ufba.br/bitstream/ri/16827/3/J.%20D.%20M.%20Vianna.pdf.txt42c16fbb381835d80d470441f5dcdbebMD53ri/168272022-07-05 14:03:49.369oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:49Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Solutions for the landau problem using Symplectic representations of the Galilei group
dc.title.alternative.pt_BR.fl_str_mv International Journal of Modern Physics A
title Solutions for the landau problem using Symplectic representations of the Galilei group
spellingShingle Solutions for the landau problem using Symplectic representations of the Galilei group
Vianna, J. D. M.
Moyal product
Phase space
Quantum fields
Galilei group
Landau problem
Wigner function
title_short Solutions for the landau problem using Symplectic representations of the Galilei group
title_full Solutions for the landau problem using Symplectic representations of the Galilei group
title_fullStr Solutions for the landau problem using Symplectic representations of the Galilei group
title_full_unstemmed Solutions for the landau problem using Symplectic representations of the Galilei group
title_sort Solutions for the landau problem using Symplectic representations of the Galilei group
author Vianna, J. D. M.
author_facet Vianna, J. D. M.
Khanna, Faqir C.
Fernandes, M. C. B.
Amorim, Ronni G. G.
author_role author
author2 Khanna, Faqir C.
Fernandes, M. C. B.
Amorim, Ronni G. G.
author2_role author
author
author
dc.contributor.author.fl_str_mv Vianna, J. D. M.
Khanna, Faqir C.
Fernandes, M. C. B.
Amorim, Ronni G. G.
Vianna, J. D. M.
Khanna, Faqir C.
Fernandes, M. C. B.
Amorim, Ronni G. G.
dc.subject.por.fl_str_mv Moyal product
Phase space
Quantum fields
Galilei group
Landau problem
Wigner function
topic Moyal product
Phase space
Quantum fields
Galilei group
Landau problem
Wigner function
description Texto completo: acesso restrito. p. 1-12
publishDate 2013
dc.date.issued.fl_str_mv 2013
dc.date.accessioned.fl_str_mv 2014-12-17T21:46:00Z
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/16827
dc.identifier.issn.none.fl_str_mv 0217-751X
dc.identifier.number.pt_BR.fl_str_mv v. 28, n. 06
identifier_str_mv 0217-751X
v. 28, n. 06
url http://repositorio.ufba.br/ri/handle/ri/16827
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.source.pt_BR.fl_str_mv http://dx.doi.org/ 10.1142/S0217751X13500139
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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instname_str Universidade Federal da Bahia (UFBA)
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reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
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