Numerical ranges of unbounded operators arising in quantum physics
Autor(a) principal: | |
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Data de Publicação: | 2004 |
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/10316/4639 https://doi.org/10.1016/j.laa.2003.09.019 |
Resumo: | Creation and annihilation operators are used in quantum physics as the building blocks of linear operators acting on Hilbert spaces of many body systems. In quantum physics, pairing operators are defined in terms of those operators. In this paper, spectral properties of pairing operators are studied. The numerical ranges of pairing operators are investigated. In the context of matrix theory, the results give the numerical ranges of certain infinite tridiagonal matrices. |
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Numerical ranges of unbounded operators arising in quantum physicsNumerical rangeUnbounded linear operatorCreation and annihilation operators are used in quantum physics as the building blocks of linear operators acting on Hilbert spaces of many body systems. In quantum physics, pairing operators are defined in terms of those operators. In this paper, spectral properties of pairing operators are studied. The numerical ranges of pairing operators are investigated. In the context of matrix theory, the results give the numerical ranges of certain infinite tridiagonal matrices.http://www.sciencedirect.com/science/article/B6V0R-4BJX7FG-4/1/084ff34d503f0458e9a05b1c7ddb426e2004info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4639http://hdl.handle.net/10316/4639https://doi.org/10.1016/j.laa.2003.09.019engLinear Algebra and its Applications. 381:(2004) 259-279Bebiano, N.Lemos, R.Providência, J. dainfo: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:RCAAP2020-11-06T16:49:12Zoai:estudogeral.uc.pt:10316/4639Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:47.709827Repositório 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 |
Numerical ranges of unbounded operators arising in quantum physics |
title |
Numerical ranges of unbounded operators arising in quantum physics |
spellingShingle |
Numerical ranges of unbounded operators arising in quantum physics Bebiano, N. Numerical range Unbounded linear operator |
title_short |
Numerical ranges of unbounded operators arising in quantum physics |
title_full |
Numerical ranges of unbounded operators arising in quantum physics |
title_fullStr |
Numerical ranges of unbounded operators arising in quantum physics |
title_full_unstemmed |
Numerical ranges of unbounded operators arising in quantum physics |
title_sort |
Numerical ranges of unbounded operators arising in quantum physics |
author |
Bebiano, N. |
author_facet |
Bebiano, N. Lemos, R. Providência, J. da |
author_role |
author |
author2 |
Lemos, R. Providência, J. da |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Bebiano, N. Lemos, R. Providência, J. da |
dc.subject.por.fl_str_mv |
Numerical range Unbounded linear operator |
topic |
Numerical range Unbounded linear operator |
description |
Creation and annihilation operators are used in quantum physics as the building blocks of linear operators acting on Hilbert spaces of many body systems. In quantum physics, pairing operators are defined in terms of those operators. In this paper, spectral properties of pairing operators are studied. The numerical ranges of pairing operators are investigated. In the context of matrix theory, the results give the numerical ranges of certain infinite tridiagonal matrices. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004 |
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/10316/4639 http://hdl.handle.net/10316/4639 https://doi.org/10.1016/j.laa.2003.09.019 |
url |
http://hdl.handle.net/10316/4639 https://doi.org/10.1016/j.laa.2003.09.019 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Linear Algebra and its Applications. 381:(2004) 259-279 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133898411606016 |