Non-linear Liouville and Shrödinger equations in phase space

Detalhes bibliográficos
Autor(a) principal: Fernandes, M. C. B.
Data de Publicação: 2010
Outros Autores: Khanna, Faqir C., Martins, M. G. R., Santana, Ademir Eugênio de, Vianna, J. D. M.
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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spelling 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
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv DOI: 10.1016/j.physa.2010.04.030
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
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