Non-linear Liouville and Shrödinger equations in phase space
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/5644 |
Resumo: | Acesso restrito:Texto completo. p 3409-3419 |
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Fernandes, M. C. B.Khanna, Faqir C.Martins, M. G. R.Santana, Ademir Eugênio deVianna, J. D. M.Fernandes, M. C. B.Khanna, Faqir C.Martins, M. G. R.Santana, Ademir Eugênio deVianna, J. D. M.2012-04-19T11:49:31Z20100378-4371http://www.repositorio.ufba.br/ri/handle/ri/5644v. 389, n. 17Acesso restrito:Texto completo. p 3409-3419Unitary representations of the Galilei group are studied in phase space, in order to describe classical and quantum systems. Conditions to write in general form the generator of time translation and Lagrangians in phase space are then established. In the classical case, Galilean invariance provides conditions for writing the Liouville operator and Lagrangian for non-linear systems. We analyze, as an example, a generalized kinetic equation where the collision term is local and non-linear. The quantum counter-part of such unitary representations are developed by using the Moyal (or star) product. Then a non-linear Schrödinger equation in phase space is derived and analyzed. In this case, an association with the Wigner formalism is established, which provides a physical interpretation for the formalism.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2012-04-19T11:49:31Z No. of bitstreams: 1 __ac.els-cdn.com_S037843...070fd93eb28aa6c5995fc09e28f8a.pdf: 143152 bytes, checksum: 8c5242e0c1434e23649901b35c95be96 (MD5)Made available in DSpace on 2012-04-19T11:49:31Z (GMT). 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dc.title.pt_BR.fl_str_mv |
Non-linear Liouville and Shrödinger equations in phase space |
dc.title.alternative.pt_BR.fl_str_mv |
Physica A-Statistical Mechanics and Its Applications |
title |
Non-linear Liouville and Shrödinger equations in phase space |
spellingShingle |
Non-linear Liouville and Shrödinger equations in phase space Fernandes, M. C. B. Galilei group Kinetic theory Non-linear equations in phase space |
title_short |
Non-linear Liouville and Shrödinger equations in phase space |
title_full |
Non-linear Liouville and Shrödinger equations in phase space |
title_fullStr |
Non-linear Liouville and Shrödinger equations in phase space |
title_full_unstemmed |
Non-linear Liouville and Shrödinger equations in phase space |
title_sort |
Non-linear Liouville and Shrödinger equations in phase space |
author |
Fernandes, M. C. B. |
author_facet |
Fernandes, M. C. B. Khanna, Faqir C. Martins, M. G. R. Santana, Ademir Eugênio de Vianna, J. D. M. |
author_role |
author |
author2 |
Khanna, Faqir C. Martins, M. G. R. Santana, Ademir Eugênio de Vianna, J. D. M. |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Fernandes, M. C. B. Khanna, Faqir C. Martins, M. G. R. Santana, Ademir Eugênio de Vianna, J. D. M. Fernandes, M. C. B. Khanna, Faqir C. Martins, M. G. R. Santana, Ademir Eugênio de Vianna, J. D. M. |
dc.subject.por.fl_str_mv |
Galilei group Kinetic theory Non-linear equations in phase space |
topic |
Galilei group Kinetic theory Non-linear equations in phase space |
description |
Acesso restrito:Texto completo. p 3409-3419 |
publishDate |
2010 |
dc.date.issued.fl_str_mv |
2010 |
dc.date.accessioned.fl_str_mv |
2012-04-19T11:49:31Z |
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/5644 |
dc.identifier.issn.none.fl_str_mv |
0378-4371 |
dc.identifier.number.pt_BR.fl_str_mv |
v. 389, n. 17 |
identifier_str_mv |
0378-4371 v. 389, n. 17 |
url |
http://www.repositorio.ufba.br/ri/handle/ri/5644 |
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 |
DOI: 10.1016/j.physa.2010.04.030 |
dc.source.none.fl_str_mv |
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