Spin noncommutativity and the three-dimensional harmonic oscillator

Autores
Falomir, Horacio Alberto; Gamboa, J.; Loewe, M.; Méndez, F.; Rojas, J. C.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A three-dimensional harmonic oscillator with spin noncommutativity in the phase space is considered. The system has a regular symplectic structure and by using supersymmetric quantum mechanics techniques, the ground state is calculated exactly. We find that this state is infinitely degenerate and it has explicit spontaneous broken symmetry. Analyzing the Heisenberg equations, we show that the total angular momentum is conserved.
Fil: Falomir, Horacio Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Gamboa, J.. Pontificia Universidad Católica de Chile; Chile
Fil: Loewe, M.. University of Cape Town; Sudáfrica
Fil: Méndez, F.. Universidad de Santiago de Chile; Chile
Fil: Rojas, J. C.. Universidad Católica del Norte; Chile
Materia
NONCOMMUTATIVE COORDINATES
SUPERSYMMETRIC QUANTUM MECHANICS
SPONTANEOUSLY BROKEN SYMMETRY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/268628
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/268628
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Spin noncommutativity and the three-dimensional harmonic oscillatorFalomir, Horacio AlbertoGamboa, J.Loewe, M.Méndez, F.Rojas, J. C.NONCOMMUTATIVE COORDINATESSUPERSYMMETRIC QUANTUM MECHANICSSPONTANEOUSLY BROKEN SYMMETRYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A three-dimensional harmonic oscillator with spin noncommutativity in the phase space is considered. The system has a regular symplectic structure and by using supersymmetric quantum mechanics techniques, the ground state is calculated exactly. We find that this state is infinitely degenerate and it has explicit spontaneous broken symmetry. Analyzing the Heisenberg equations, we show that the total angular momentum is conserved.Fil: Falomir, Horacio Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Gamboa, J.. Pontificia Universidad Católica de Chile; ChileFil: Loewe, M.. University of Cape Town; SudáfricaFil: Méndez, F.. Universidad de Santiago de Chile; ChileFil: Rojas, J. C.. Universidad Católica del Norte; ChileAmerican Physical Society2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/268628Falomir, Horacio Alberto; Gamboa, J.; Loewe, M.; Méndez, F.; Rojas, J. C.; Spin noncommutativity and the three-dimensional harmonic oscillator; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 85; 2; 1-2012; 1-51550-7998CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://prd.aps.org/abstract/PRD/v85/i2/e025009info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.85.025009info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:36:31Zoai:ri.conicet.gov.ar:11336/268628instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:36:31.8CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Spin noncommutativity and the three-dimensional harmonic oscillator
title Spin noncommutativity and the three-dimensional harmonic oscillator
spellingShingle Spin noncommutativity and the three-dimensional harmonic oscillator
Falomir, Horacio Alberto
NONCOMMUTATIVE COORDINATES
SUPERSYMMETRIC QUANTUM MECHANICS
SPONTANEOUSLY BROKEN SYMMETRY
title_short Spin noncommutativity and the three-dimensional harmonic oscillator
title_full Spin noncommutativity and the three-dimensional harmonic oscillator
title_fullStr Spin noncommutativity and the three-dimensional harmonic oscillator
title_full_unstemmed Spin noncommutativity and the three-dimensional harmonic oscillator
title_sort Spin noncommutativity and the three-dimensional harmonic oscillator
dc.creator.none.fl_str_mv Falomir, Horacio Alberto
Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
author Falomir, Horacio Alberto
author_facet Falomir, Horacio Alberto
Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
author_role author
author2 Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
author2_role author
author
author
author
dc.subject.none.fl_str_mv NONCOMMUTATIVE COORDINATES
SUPERSYMMETRIC QUANTUM MECHANICS
SPONTANEOUSLY BROKEN SYMMETRY
topic NONCOMMUTATIVE COORDINATES
SUPERSYMMETRIC QUANTUM MECHANICS
SPONTANEOUSLY BROKEN SYMMETRY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A three-dimensional harmonic oscillator with spin noncommutativity in the phase space is considered. The system has a regular symplectic structure and by using supersymmetric quantum mechanics techniques, the ground state is calculated exactly. We find that this state is infinitely degenerate and it has explicit spontaneous broken symmetry. Analyzing the Heisenberg equations, we show that the total angular momentum is conserved.
Fil: Falomir, Horacio Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Gamboa, J.. Pontificia Universidad Católica de Chile; Chile
Fil: Loewe, M.. University of Cape Town; Sudáfrica
Fil: Méndez, F.. Universidad de Santiago de Chile; Chile
Fil: Rojas, J. C.. Universidad Católica del Norte; Chile
description A three-dimensional harmonic oscillator with spin noncommutativity in the phase space is considered. The system has a regular symplectic structure and by using supersymmetric quantum mechanics techniques, the ground state is calculated exactly. We find that this state is infinitely degenerate and it has explicit spontaneous broken symmetry. Analyzing the Heisenberg equations, we show that the total angular momentum is conserved.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/268628
Falomir, Horacio Alberto; Gamboa, J.; Loewe, M.; Méndez, F.; Rojas, J. C.; Spin noncommutativity and the three-dimensional harmonic oscillator; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 85; 2; 1-2012; 1-5
1550-7998
CONICET Digital
CONICET
url http://hdl.handle.net/11336/268628
identifier_str_mv Falomir, Horacio Alberto; Gamboa, J.; Loewe, M.; Méndez, F.; Rojas, J. C.; Spin noncommutativity and the three-dimensional harmonic oscillator; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 85; 2; 1-2012; 1-5
1550-7998
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://prd.aps.org/abstract/PRD/v85/i2/e025009
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.85.025009
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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