Mean-filed theories with mixed states and associated boson expansions
Autor(a) principal: | |
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Data de Publicação: | 1985 |
Outros Autores: | |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 |
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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 |
|
_version_ |
1799133890094301184 |