Poincar'e–Lie algebra and relativistic phase space
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://repositorio.ufba.br/ri/handle/ri/13806 |
Resumo: | p. 4015–4024 |
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Andrade, M. C. B.Santana, Ademir Eugênio deVianna, J. D. M.Andrade, M. C. B.Santana, Ademir Eugênio deVianna, J. D. M.2013-11-19T20:54:17Z2013-11-19T20:54:17Z20000305-4470http://repositorio.ufba.br/ri/handle/ri/13806p. 4015–4024In this work we investigate representations of the Poincar´e group taking as the representation space the Hilbert space of thermofield dynamics, a real-time formalism developed in quantum field theory at finite temperature. We concentrate our study on those representations that give rise to the notion of phase space, with direct application in kinetic theory. As a result, we show an alternative way to derive a relativistic Boltzmann equation, based on the notion of a propagator defined in phase space. The quantum counterpart of the approach is discussed through the notion of the Wigner function.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-07-24T20:01:11Z No. of bitstreams: 1 888888888888888888.pdf: 186103 bytes, checksum: a1cf146d769b5e572bdbe6871467863e (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2013-11-19T20:54:17Z (GMT) No. of bitstreams: 1 888888888888888888.pdf: 186103 bytes, checksum: a1cf146d769b5e572bdbe6871467863e (MD5)Made available in DSpace on 2013-11-19T20:54:17Z (GMT). No. of bitstreams: 1 888888888888888888.pdf: 186103 bytes, checksum: a1cf146d769b5e572bdbe6871467863e (MD5) Previous issue date: 2000SalvadorJournal of physics A: Mathematical and generalPoincar'e–Lie algebra and relativistic phase spaceJournal of physics A: Mathematical and generalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAinfo:eu-repo/semantics/openAccessORIGINAL888888888888888888.pdf888888888888888888.pdfapplication/pdf186103https://repositorio.ufba.br/bitstream/ri/13806/1/888888888888888888.pdfa1cf146d769b5e572bdbe6871467863eMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/13806/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT888888888888888888.pdf.txt888888888888888888.pdf.txtExtracted texttext/plain29827https://repositorio.ufba.br/bitstream/ri/13806/3/888888888888888888.pdf.txt063644eff4e7fbacd853b84628ab1065MD53ri/138062022-07-05 14:03:48.115oai: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 |
Poincar'e–Lie algebra and relativistic phase space |
dc.title.alternative.pt_BR.fl_str_mv |
Journal of physics A: Mathematical and general |
title |
Poincar'e–Lie algebra and relativistic phase space |
spellingShingle |
Poincar'e–Lie algebra and relativistic phase space Andrade, M. C. B. |
title_short |
Poincar'e–Lie algebra and relativistic phase space |
title_full |
Poincar'e–Lie algebra and relativistic phase space |
title_fullStr |
Poincar'e–Lie algebra and relativistic phase space |
title_full_unstemmed |
Poincar'e–Lie algebra and relativistic phase space |
title_sort |
Poincar'e–Lie algebra and relativistic phase space |
author |
Andrade, M. C. B. |
author_facet |
Andrade, M. C. B. Santana, Ademir Eugênio de Vianna, J. D. M. |
author_role |
author |
author2 |
Santana, Ademir Eugênio de Vianna, J. D. M. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Andrade, M. C. B. Santana, Ademir Eugênio de Vianna, J. D. M. Andrade, M. C. B. Santana, Ademir Eugênio de Vianna, J. D. M. |
description |
p. 4015–4024 |
publishDate |
2000 |
dc.date.issued.fl_str_mv |
2000 |
dc.date.accessioned.fl_str_mv |
2013-11-19T20:54:17Z |
dc.date.available.fl_str_mv |
2013-11-19T20:54:17Z |
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 |
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http://repositorio.ufba.br/ri/handle/ri/13806 |
dc.identifier.issn.none.fl_str_mv |
0305-4470 |
identifier_str_mv |
0305-4470 |
url |
http://repositorio.ufba.br/ri/handle/ri/13806 |
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.publisher.none.fl_str_mv |
Journal of physics A: Mathematical and general |
publisher.none.fl_str_mv |
Journal of physics A: Mathematical and general |
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