Mean-filed theories with mixed states and associated boson expansions

Detalhes bibliográficos
Autor(a) principal: Providência, João da
Data de Publicação: 1985
Outros Autores: Fiolhais, C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/14707
https://doi.org/10.1016/0375-9474(85)90311-2
Resumo: A variational derivation of the Liouville-von Neumann equation of quantum-statistical mechanics is presented, in order to formulate mean-field approximations appropriate to mixed states. The Hartree-Fock and the RPA at finite temperatures are particular cases of the general formalism. A thermal boson expansion is defined, which allows us to describe anharmonic motion around a thermal excited state. In a numerical application on the basis of the Lipkin model, temperature-dependent phase transitions are observed.
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spelling Mean-filed theories with mixed states and associated boson expansionsA variational derivation of the Liouville-von Neumann equation of quantum-statistical mechanics is presented, in order to formulate mean-field approximations appropriate to mixed states. The Hartree-Fock and the RPA at finite temperatures are particular cases of the general formalism. A thermal boson expansion is defined, which allows us to describe anharmonic motion around a thermal excited state. In a numerical application on the basis of the Lipkin model, temperature-dependent phase transitions are observed.North-Holland1985-03-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/14707http://hdl.handle.net/10316/14707https://doi.org/10.1016/0375-9474(85)90311-2engPROVIDÊNCIA, J. da; FIOLHAIS, C. - Mean-filed theories with mixed states and associated boson expansions. "Nuclear Physics A". ISSN 0375-9474. Vol. 435, nº 1 (1985) p. 190-2040375-9474http://www.sciencedirect.com/science/journal/03759474Providência, João daFiolhais, C.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-05-29T09:42:13Zoai:estudogeral.uc.pt:10316/14707Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:59:58.419803Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Mean-filed theories with mixed states and associated boson expansions
title Mean-filed theories with mixed states and associated boson expansions
spellingShingle Mean-filed theories with mixed states and associated boson expansions
Providência, João da
title_short Mean-filed theories with mixed states and associated boson expansions
title_full Mean-filed theories with mixed states and associated boson expansions
title_fullStr Mean-filed theories with mixed states and associated boson expansions
title_full_unstemmed Mean-filed theories with mixed states and associated boson expansions
title_sort Mean-filed theories with mixed states and associated boson expansions
author Providência, João da
author_facet Providência, João da
Fiolhais, C.
author_role author
author2 Fiolhais, C.
author2_role author
dc.contributor.author.fl_str_mv Providência, João da
Fiolhais, C.
description A variational derivation of the Liouville-von Neumann equation of quantum-statistical mechanics is presented, in order to formulate mean-field approximations appropriate to mixed states. The Hartree-Fock and the RPA at finite temperatures are particular cases of the general formalism. A thermal boson expansion is defined, which allows us to describe anharmonic motion around a thermal excited state. In a numerical application on the basis of the Lipkin model, temperature-dependent phase transitions are observed.
publishDate 1985
dc.date.none.fl_str_mv 1985-03-04
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://hdl.handle.net/10316/14707
http://hdl.handle.net/10316/14707
https://doi.org/10.1016/0375-9474(85)90311-2
url http://hdl.handle.net/10316/14707
https://doi.org/10.1016/0375-9474(85)90311-2
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv PROVIDÊNCIA, J. da; FIOLHAIS, C. - Mean-filed theories with mixed states and associated boson expansions. "Nuclear Physics A". ISSN 0375-9474. Vol. 435, nº 1 (1985) p. 190-204
0375-9474
http://www.sciencedirect.com/science/journal/03759474
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv North-Holland
publisher.none.fl_str_mv North-Holland
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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