Numerical ranges of unbounded operators arising in quantum physics

Detalhes bibliográficos
Autor(a) principal: Bebiano, N.
Data de Publicação: 2004
Outros Autores: Lemos, R., Providência, J. da
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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spelling 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
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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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