Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons

Autores
Correa, Francisco; Falomir, Horacio Alberto; Jakubský, Vít; Plyushchay, Mikhail S.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The quantum non-relativistic spin-1/2 planar systems in the presence of a perpendicular magnetic field are known to possess the N = 2 supersymmetry. We consider such a system in the field of a magnetic vortex, and find that there are just two self-adjoint extensions of the Hamiltonian that are compatible with the standard N = 2 supersymmetry. We show that only in these two cases one of the subsystems coincides with the original spinless Aharonov–Bohm model and comes accompanied by the superpartner Hamiltonian which allows a singular behavior of the wave functions. We find a family of additional, nonlocal integrals of motion and treat them together with local supercharges in the unifying framework of the tri-supersymmetry. The inclusion of the dynamical conformal symmetries leads to an infinitely generated superalgebra, that contains several representations of the superconformal osp(2|2) symmetry. We present the application of the results in the framework of the two-body model of identical anyons. The nontrivial contact interaction and the emerging N = 2 linear and nonlinear supersymmetries of the anyons are discussed.
Fil: Correa, Francisco. No especifíca;
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: Jakubský, Vít. No especifíca;
Fil: Plyushchay, Mikhail S.. Universidad de Santiago de Chile; Chile
Materia
Supersymmetry
AharonovBohm effect
Anyons
Self-adjoint extensions
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:11336/280918
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/280918
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyonsCorrea, FranciscoFalomir, Horacio AlbertoJakubský, VítPlyushchay, Mikhail S.SupersymmetryAharonovBohm effectAnyonsSelf-adjoint extensionshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The quantum non-relativistic spin-1/2 planar systems in the presence of a perpendicular magnetic field are known to possess the N = 2 supersymmetry. We consider such a system in the field of a magnetic vortex, and find that there are just two self-adjoint extensions of the Hamiltonian that are compatible with the standard N = 2 supersymmetry. We show that only in these two cases one of the subsystems coincides with the original spinless Aharonov–Bohm model and comes accompanied by the superpartner Hamiltonian which allows a singular behavior of the wave functions. We find a family of additional, nonlocal integrals of motion and treat them together with local supercharges in the unifying framework of the tri-supersymmetry. The inclusion of the dynamical conformal symmetries leads to an infinitely generated superalgebra, that contains several representations of the superconformal osp(2|2) symmetry. We present the application of the results in the framework of the two-body model of identical anyons. The nontrivial contact interaction and the emerging N = 2 linear and nonlinear supersymmetries of the anyons are discussed.Fil: Correa, Francisco. No especifíca;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: Jakubský, Vít. No especifíca;Fil: Plyushchay, Mikhail S.. Universidad de Santiago de Chile; ChileAcademic Press Inc Elsevier Science2010-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/280918Correa, Francisco; Falomir, Horacio Alberto; Jakubský, Vít; Plyushchay, Mikhail S.; Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons; Academic Press Inc Elsevier Science; Annals of Physics (New York); 325; 12; 6-2010; 2653-26670003-4916CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0003491610001120info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2010.06.005info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-06T13:01:57Zoai:ri.conicet.gov.ar:11336/280918instacron: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:34982026-02-06 13:01:57.5CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
spellingShingle Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
Correa, Francisco
Supersymmetry
AharonovBohm effect
Anyons
Self-adjoint extensions
title_short Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_full Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_fullStr Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_full_unstemmed Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_sort Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
dc.creator.none.fl_str_mv Correa, Francisco
Falomir, Horacio Alberto
Jakubský, Vít
Plyushchay, Mikhail S.
author Correa, Francisco
author_facet Correa, Francisco
Falomir, Horacio Alberto
Jakubský, Vít
Plyushchay, Mikhail S.
author_role author
author2 Falomir, Horacio Alberto
Jakubský, Vít
Plyushchay, Mikhail S.
author2_role author
author
author
dc.subject.none.fl_str_mv Supersymmetry
AharonovBohm effect
Anyons
Self-adjoint extensions
topic Supersymmetry
AharonovBohm effect
Anyons
Self-adjoint extensions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The quantum non-relativistic spin-1/2 planar systems in the presence of a perpendicular magnetic field are known to possess the N = 2 supersymmetry. We consider such a system in the field of a magnetic vortex, and find that there are just two self-adjoint extensions of the Hamiltonian that are compatible with the standard N = 2 supersymmetry. We show that only in these two cases one of the subsystems coincides with the original spinless Aharonov–Bohm model and comes accompanied by the superpartner Hamiltonian which allows a singular behavior of the wave functions. We find a family of additional, nonlocal integrals of motion and treat them together with local supercharges in the unifying framework of the tri-supersymmetry. The inclusion of the dynamical conformal symmetries leads to an infinitely generated superalgebra, that contains several representations of the superconformal osp(2|2) symmetry. We present the application of the results in the framework of the two-body model of identical anyons. The nontrivial contact interaction and the emerging N = 2 linear and nonlinear supersymmetries of the anyons are discussed.
Fil: Correa, Francisco. No especifíca;
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: Jakubský, Vít. No especifíca;
Fil: Plyushchay, Mikhail S.. Universidad de Santiago de Chile; Chile
description The quantum non-relativistic spin-1/2 planar systems in the presence of a perpendicular magnetic field are known to possess the N = 2 supersymmetry. We consider such a system in the field of a magnetic vortex, and find that there are just two self-adjoint extensions of the Hamiltonian that are compatible with the standard N = 2 supersymmetry. We show that only in these two cases one of the subsystems coincides with the original spinless Aharonov–Bohm model and comes accompanied by the superpartner Hamiltonian which allows a singular behavior of the wave functions. We find a family of additional, nonlocal integrals of motion and treat them together with local supercharges in the unifying framework of the tri-supersymmetry. The inclusion of the dynamical conformal symmetries leads to an infinitely generated superalgebra, that contains several representations of the superconformal osp(2|2) symmetry. We present the application of the results in the framework of the two-body model of identical anyons. The nontrivial contact interaction and the emerging N = 2 linear and nonlinear supersymmetries of the anyons are discussed.
publishDate 2010
dc.date.none.fl_str_mv 2010-06
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/11336/280918
Correa, Francisco; Falomir, Horacio Alberto; Jakubský, Vít; Plyushchay, Mikhail S.; Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons; Academic Press Inc Elsevier Science; Annals of Physics (New York); 325; 12; 6-2010; 2653-2667
0003-4916
CONICET Digital
CONICET
url http://hdl.handle.net/11336/280918
identifier_str_mv Correa, Francisco; Falomir, Horacio Alberto; Jakubský, Vít; Plyushchay, Mikhail S.; Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons; Academic Press Inc Elsevier Science; Annals of Physics (New York); 325; 12; 6-2010; 2653-2667
0003-4916
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://www.sciencedirect.com/science/article/pii/S0003491610001120
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2010.06.005
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 Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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
_version_ 1856403378793349120
score 13.11174

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