Harmonic oscillator and nuclear pseudospin

Detalhes bibliográficos
Autor(a) principal: Lisboa, Ronai
Data de Publicação: 2004
Outros Autores: Malheiro, Manuel, De Castro, Antonio S. [UNESP], Alberto, Pedro, Fiolhais, Manuel
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1063/1.1843657
http://hdl.handle.net/11449/220111
Resumo: A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U, linear in r. Setting either Σ = S + V or Δ = V - S to zero, analytical solutions for bound states are found. The eingenenergies and their nonrelativistic limits are presented and particular cases are discussed, especially the case Σ = 0, for which pseudospin symmetry is exact.
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spelling Harmonic oscillator and nuclear pseudospinA generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U, linear in r. Setting either Σ = S + V or Δ = V - S to zero, analytical solutions for bound states are found. The eingenenergies and their nonrelativistic limits are presented and particular cases are discussed, especially the case Σ = 0, for which pseudospin symmetry is exact.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundació Catalana de TrasplantamentInstituto de Física Universidade Federal FluminenseDepartamento de Física e Química Universidade Estadual PaulistaDepartamento de Física Centro de Física Computacional Universidade de CoimbraDepartamento de Física e Química Universidade Estadual PaulistaUniversidade Federal Fluminense (UFF)Universidade Estadual Paulista (UNESP)Universidade de CoimbraLisboa, RonaiMalheiro, ManuelDe Castro, Antonio S. [UNESP]Alberto, PedroFiolhais, Manuel2022-04-28T18:59:43Z2022-04-28T18:59:43Z2004-12-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject569-571http://dx.doi.org/10.1063/1.1843657AIP Conference Proceedings, v. 739, p. 569-571.1551-76160094-243Xhttp://hdl.handle.net/11449/22011110.1063/1.18436572-s2.0-84897820513Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAIP Conference Proceedingsinfo:eu-repo/semantics/openAccess2022-04-28T18:59:43Zoai:repositorio.unesp.br:11449/220111Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:35:31.440536Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Harmonic oscillator and nuclear pseudospin
title Harmonic oscillator and nuclear pseudospin
spellingShingle Harmonic oscillator and nuclear pseudospin
Lisboa, Ronai
title_short Harmonic oscillator and nuclear pseudospin
title_full Harmonic oscillator and nuclear pseudospin
title_fullStr Harmonic oscillator and nuclear pseudospin
title_full_unstemmed Harmonic oscillator and nuclear pseudospin
title_sort Harmonic oscillator and nuclear pseudospin
author Lisboa, Ronai
author_facet Lisboa, Ronai
Malheiro, Manuel
De Castro, Antonio S. [UNESP]
Alberto, Pedro
Fiolhais, Manuel
author_role author
author2 Malheiro, Manuel
De Castro, Antonio S. [UNESP]
Alberto, Pedro
Fiolhais, Manuel
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Federal Fluminense (UFF)
Universidade Estadual Paulista (UNESP)
Universidade de Coimbra
dc.contributor.author.fl_str_mv Lisboa, Ronai
Malheiro, Manuel
De Castro, Antonio S. [UNESP]
Alberto, Pedro
Fiolhais, Manuel
description A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U, linear in r. Setting either Σ = S + V or Δ = V - S to zero, analytical solutions for bound states are found. The eingenenergies and their nonrelativistic limits are presented and particular cases are discussed, especially the case Σ = 0, for which pseudospin symmetry is exact.
publishDate 2004
dc.date.none.fl_str_mv 2004-12-02
2022-04-28T18:59:43Z
2022-04-28T18:59:43Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1063/1.1843657
AIP Conference Proceedings, v. 739, p. 569-571.
1551-7616
0094-243X
http://hdl.handle.net/11449/220111
10.1063/1.1843657
2-s2.0-84897820513
url http://dx.doi.org/10.1063/1.1843657
http://hdl.handle.net/11449/220111
identifier_str_mv AIP Conference Proceedings, v. 739, p. 569-571.
1551-7616
0094-243X
10.1063/1.1843657
2-s2.0-84897820513
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv AIP Conference Proceedings
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 569-571
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129092599414784

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