A note on the Lipkin model in arbitrary fermion number

Detalhes bibliográficos
Autor(a) principal: Tsue, Yasuhiko
Data de Publicação: 2017
Outros Autores: Providência, Constança, Providência, João da, Yamamura, Masatoshi
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/108335
https://doi.org/10.1093/ptep/ptx105
Resumo: A possible form of the Lipkin model obeying the su(6) algebra is presented. It is a natural generalization from the idea for the su(4) algebra recently proposed by the present authors. All the relations appearing in the present form can be expressed in terms of spherical tensors in the su(2) algebras. For specifying the linearly independent basis completely, twenty parameters are introduced. It is concluded that, in these parameters, five quantum numbers determine the minimum weight state. The other five parameters in twenty parameters are also regarded as quantum numbers.
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spelling A note on the Lipkin model in arbitrary fermion numberA possible form of the Lipkin model obeying the su(6) algebra is presented. It is a natural generalization from the idea for the su(4) algebra recently proposed by the present authors. All the relations appearing in the present form can be expressed in terms of spherical tensors in the su(2) algebras. For specifying the linearly independent basis completely, twenty parameters are introduced. It is concluded that, in these parameters, five quantum numbers determine the minimum weight state. The other five parameters in twenty parameters are also regarded as quantum numbers.Oxford University Press2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/108335http://hdl.handle.net/10316/108335https://doi.org/10.1093/ptep/ptx105eng2050-3911Tsue, YasuhikoProvidência, ConstançaProvidência, João daYamamura, Masatoshiinfo: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:RCAAP2023-08-24T10:58:39Zoai:estudogeral.uc.pt:10316/108335Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:24:38.156471Repositório 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 A note on the Lipkin model in arbitrary fermion number
title A note on the Lipkin model in arbitrary fermion number
spellingShingle A note on the Lipkin model in arbitrary fermion number
Tsue, Yasuhiko
title_short A note on the Lipkin model in arbitrary fermion number
title_full A note on the Lipkin model in arbitrary fermion number
title_fullStr A note on the Lipkin model in arbitrary fermion number
title_full_unstemmed A note on the Lipkin model in arbitrary fermion number
title_sort A note on the Lipkin model in arbitrary fermion number
author Tsue, Yasuhiko
author_facet Tsue, Yasuhiko
Providência, Constança
Providência, João da
Yamamura, Masatoshi
author_role author
author2 Providência, Constança
Providência, João da
Yamamura, Masatoshi
author2_role author
author
author
dc.contributor.author.fl_str_mv Tsue, Yasuhiko
Providência, Constança
Providência, João da
Yamamura, Masatoshi
description A possible form of the Lipkin model obeying the su(6) algebra is presented. It is a natural generalization from the idea for the su(4) algebra recently proposed by the present authors. All the relations appearing in the present form can be expressed in terms of spherical tensors in the su(2) algebras. For specifying the linearly independent basis completely, twenty parameters are introduced. It is concluded that, in these parameters, five quantum numbers determine the minimum weight state. The other five parameters in twenty parameters are also regarded as quantum numbers.
publishDate 2017
dc.date.none.fl_str_mv 2017
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/10316/108335
http://hdl.handle.net/10316/108335
https://doi.org/10.1093/ptep/ptx105
url http://hdl.handle.net/10316/108335
https://doi.org/10.1093/ptep/ptx105
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2050-3911
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
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
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