Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz

Detalhes bibliográficos
Autor(a) principal: Morita, Hiroyuki
Data de Publicação: 2006
Outros Autores: Ohnishi, Hiromasa, Providência, João da, Nishiyama, Seiya
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4412
https://doi.org/10.1016/j.nuclphysb.2006.01.015
Resumo: Exact solutions for the Lipkin-Meshkov-Glick (LMG) model Hamiltonian are obtained by solving the Bethe ansatz equation (BAE) which is derived from the variation equation based on the Bethe ansatz. Unlike Pan and Draayer, we do not use bosonization and infinite-dimensional algebra techniques. Consequently there are no restrictions on parameters specifying strengths of the interactions included in the LMG Hamiltonian. Thus, for all the regimes of the interaction parameters, we get the exact solutions for the LMG Hamiltonian by numerically solving the BAEs and give the numerical behaviour of an order parameter .
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spelling Exact solutions for the LMG model Hamiltonian based on the Bethe ansatzExact solutions for the Lipkin-Meshkov-Glick (LMG) model Hamiltonian are obtained by solving the Bethe ansatz equation (BAE) which is derived from the variation equation based on the Bethe ansatz. Unlike Pan and Draayer, we do not use bosonization and infinite-dimensional algebra techniques. Consequently there are no restrictions on parameters specifying strengths of the interactions included in the LMG Hamiltonian. Thus, for all the regimes of the interaction parameters, we get the exact solutions for the LMG Hamiltonian by numerically solving the BAEs and give the numerical behaviour of an order parameter .http://www.sciencedirect.com/science/article/B6TVC-4J3NX02-1/1/d39caea171092363891fa6492883aaf62006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4412http://hdl.handle.net/10316/4412https://doi.org/10.1016/j.nuclphysb.2006.01.015engNuclear Physics B. 737:3 (2006) 337-350Morita, HiroyukiOhnishi, HiromasaProvidência, João daNishiyama, Seiyainfo: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:RCAAP2020-11-06T16:59:12Zoai:estudogeral.uc.pt:10316/4412Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:59:52.597067Repositório 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 Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz
title Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz
spellingShingle Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz
Morita, Hiroyuki
title_short Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz
title_full Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz
title_fullStr Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz
title_full_unstemmed Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz
title_sort Exact solutions for the LMG model Hamiltonian based on the Bethe ansatz
author Morita, Hiroyuki
author_facet Morita, Hiroyuki
Ohnishi, Hiromasa
Providência, João da
Nishiyama, Seiya
author_role author
author2 Ohnishi, Hiromasa
Providência, João da
Nishiyama, Seiya
author2_role author
author
author
dc.contributor.author.fl_str_mv Morita, Hiroyuki
Ohnishi, Hiromasa
Providência, João da
Nishiyama, Seiya
description Exact solutions for the Lipkin-Meshkov-Glick (LMG) model Hamiltonian are obtained by solving the Bethe ansatz equation (BAE) which is derived from the variation equation based on the Bethe ansatz. Unlike Pan and Draayer, we do not use bosonization and infinite-dimensional algebra techniques. Consequently there are no restrictions on parameters specifying strengths of the interactions included in the LMG Hamiltonian. Thus, for all the regimes of the interaction parameters, we get the exact solutions for the LMG Hamiltonian by numerically solving the BAEs and give the numerical behaviour of an order parameter .
publishDate 2006
dc.date.none.fl_str_mv 2006
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/10316/4412
http://hdl.handle.net/10316/4412
https://doi.org/10.1016/j.nuclphysb.2006.01.015
url http://hdl.handle.net/10316/4412
https://doi.org/10.1016/j.nuclphysb.2006.01.015
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nuclear Physics B. 737:3 (2006) 337-350
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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