Thouless theorem for one and two degrees of freedom

Detalhes bibliográficos
Autor(a) principal: Magalhães,A.R. Bosco de
Data de Publicação: 2006
Outros Autores: Fonseca,C.H. d'Àvila, Nemes,M.C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172006000200007
Resumo: We perform an accessible demonstration of Thouless theorem for systems of one and two degrees of freedom, using only elementary quantum mechanics. This theorem is specially useful to ¯nd the vacuum of a transformed set of bosonic operators. A further motivation comes from experiments involving few trapped ions or ¯elds in cavity quantum electrodynamics, usually modelled by few linearly interacting oscillators.
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spelling Thouless theorem for one and two degrees of freedomquantum oscillatorsvariables transformationsbosonic systemsWe perform an accessible demonstration of Thouless theorem for systems of one and two degrees of freedom, using only elementary quantum mechanics. This theorem is specially useful to ¯nd the vacuum of a transformed set of bosonic operators. A further motivation comes from experiments involving few trapped ions or ¯elds in cavity quantum electrodynamics, usually modelled by few linearly interacting oscillators.Sociedade Brasileira de Física2006-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172006000200007Revista Brasileira de Ensino de Física v.28 n.2 2006reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBFinfo:eu-repo/semantics/openAccessMagalhães,A.R. Bosco deFonseca,C.H. d'ÀvilaNemes,M.C.eng2006-10-16T00:00:00Zoai:scielo:S1806-11172006000200007Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2006-10-16T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Thouless theorem for one and two degrees of freedom
title Thouless theorem for one and two degrees of freedom
spellingShingle Thouless theorem for one and two degrees of freedom
Magalhães,A.R. Bosco de
quantum oscillators
variables transformations
bosonic systems
title_short Thouless theorem for one and two degrees of freedom
title_full Thouless theorem for one and two degrees of freedom
title_fullStr Thouless theorem for one and two degrees of freedom
title_full_unstemmed Thouless theorem for one and two degrees of freedom
title_sort Thouless theorem for one and two degrees of freedom
author Magalhães,A.R. Bosco de
author_facet Magalhães,A.R. Bosco de
Fonseca,C.H. d'Àvila
Nemes,M.C.
author_role author
author2 Fonseca,C.H. d'Àvila
Nemes,M.C.
author2_role author
author
dc.contributor.author.fl_str_mv Magalhães,A.R. Bosco de
Fonseca,C.H. d'Àvila
Nemes,M.C.
dc.subject.por.fl_str_mv quantum oscillators
variables transformations
bosonic systems
topic quantum oscillators
variables transformations
bosonic systems
description We perform an accessible demonstration of Thouless theorem for systems of one and two degrees of freedom, using only elementary quantum mechanics. This theorem is specially useful to ¯nd the vacuum of a transformed set of bosonic operators. A further motivation comes from experiments involving few trapped ions or ¯elds in cavity quantum electrodynamics, usually modelled by few linearly interacting oscillators.
publishDate 2006
dc.date.none.fl_str_mv 2006-06-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172006000200007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172006000200007
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.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.28 n.2 2006
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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