A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis

Detalhes bibliográficos
Autor(a) principal: Tsue, Yasuhiko
Data de Publicação: 2016
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/10316/108866
https://doi.org/10.1093/ptep/ptw102
Resumo: Based on the results for the minimum weight states obtained in the previous paper (I), an idea of how to construct the linearly independent basis is proposed for the SU(n) Lipkin model. This idea starts in setting up m independent SU(2) subalgebras in the cases with n = 2m and n = 2m+1 (m = 2, 3, 4, . . .). The original representation is re-formed in terms of the spherical tensors for the SU(n) generators built under the SU(2) subalgebras. Through this re-formation, the SU(m) subalgebra can be found. For constructing the linearly independent basis, not only the SU(2) algebras but also the SU(m) subalgebra play a central role. Some concrete results in the cases with n = 2, 3, 4, and 5 are presented.
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spelling A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basisBased on the results for the minimum weight states obtained in the previous paper (I), an idea of how to construct the linearly independent basis is proposed for the SU(n) Lipkin model. This idea starts in setting up m independent SU(2) subalgebras in the cases with n = 2m and n = 2m+1 (m = 2, 3, 4, . . .). The original representation is re-formed in terms of the spherical tensors for the SU(n) generators built under the SU(2) subalgebras. Through this re-formation, the SU(m) subalgebra can be found. For constructing the linearly independent basis, not only the SU(2) algebras but also the SU(m) subalgebra play a central role. Some concrete results in the cases with n = 2, 3, 4, and 5 are presented.Oxford University Press2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/108866http://hdl.handle.net/10316/108866https://doi.org/10.1093/ptep/ptw102eng2050-3911Tsue, 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:RCAAP2023-09-21T10:36:04Zoai:estudogeral.uc.pt:10316/108866Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:25:06.399667Repositório 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 possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis
title A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis
spellingShingle A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis
Tsue, Yasuhiko
title_short A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis
title_full A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis
title_fullStr A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis
title_full_unstemmed A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis
title_sort A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis
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 Based on the results for the minimum weight states obtained in the previous paper (I), an idea of how to construct the linearly independent basis is proposed for the SU(n) Lipkin model. This idea starts in setting up m independent SU(2) subalgebras in the cases with n = 2m and n = 2m+1 (m = 2, 3, 4, . . .). The original representation is re-formed in terms of the spherical tensors for the SU(n) generators built under the SU(2) subalgebras. Through this re-formation, the SU(m) subalgebra can be found. For constructing the linearly independent basis, not only the SU(2) algebras but also the SU(m) subalgebra play a central role. Some concrete results in the cases with n = 2, 3, 4, and 5 are presented.
publishDate 2016
dc.date.none.fl_str_mv 2016
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/10316/108866
http://hdl.handle.net/10316/108866
https://doi.org/10.1093/ptep/ptw102
url http://hdl.handle.net/10316/108866
https://doi.org/10.1093/ptep/ptw102
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
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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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