Group-quantization of non-linear sigma models:particle on S2 revisited

We present the quantum mechanics of “partial-trace” non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treat...

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Detalles Bibliográficos
Autores: Aldaya Valverde, Víctor, López Ruiz, Francisco Felipe, Calixto Molina, Manuel
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/527
Acceso en línea:http://hdl.handle.net/10317/527
Access Level:acceso abierto
Palabra clave:Grupo de cuantización
Teoría cuantica
Curvatura de la esfera
Matemática Aplicada
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spelling Group-quantization of non-linear sigma models:particle on S2 revisitedAldaya Valverde, VíctorLópez Ruiz, Francisco FelipeCalixto Molina, ManuelGrupo de cuantizaciónTeoría cuanticaCurvatura de la esferaMatemática AplicadaWe present the quantum mechanics of “partial-trace” non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treatment is required nor ordering ambiguities do appear. Moreover, the energy spectrum is recovered without extra terms in the curvature of the sphere.Work partially supported by the Spanish MCYT, Junta de Andalucía and Fundación Séneca under projects FIS2005-05736-C03-01, P06-FQM-01951 and 03100/PI/05. F. F. López Ruiz would like to thank the C.S.I.C. for an I3P grant.200820082008info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/10317/527reponame:Repositorio Digital UPCTinstname:Universidad Politécnica de Cartagena(UPCT)InglésAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:repositorio.upct.es:10317/5272026-05-15T06:39:02Z
dc.title.none.fl_str_mv Group-quantization of non-linear sigma models:particle on S2 revisited
title Group-quantization of non-linear sigma models:particle on S2 revisited
spellingShingle Group-quantization of non-linear sigma models:particle on S2 revisited
Aldaya Valverde, Víctor
Grupo de cuantización
Teoría cuantica
Curvatura de la esfera
Matemática Aplicada
title_short Group-quantization of non-linear sigma models:particle on S2 revisited
title_full Group-quantization of non-linear sigma models:particle on S2 revisited
title_fullStr Group-quantization of non-linear sigma models:particle on S2 revisited
title_full_unstemmed Group-quantization of non-linear sigma models:particle on S2 revisited
title_sort Group-quantization of non-linear sigma models:particle on S2 revisited
dc.creator.none.fl_str_mv Aldaya Valverde, Víctor
López Ruiz, Francisco Felipe
Calixto Molina, Manuel
author Aldaya Valverde, Víctor
author_facet Aldaya Valverde, Víctor
López Ruiz, Francisco Felipe
Calixto Molina, Manuel
author_role author
author2 López Ruiz, Francisco Felipe
Calixto Molina, Manuel
author2_role author
author
dc.subject.none.fl_str_mv Grupo de cuantización
Teoría cuantica
Curvatura de la esfera
Matemática Aplicada
topic Grupo de cuantización
Teoría cuantica
Curvatura de la esfera
Matemática Aplicada
description We present the quantum mechanics of “partial-trace” non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treatment is required nor ordering ambiguities do appear. Moreover, the energy spectrum is recovered without extra terms in the curvature of the sphere.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008
2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10317/527
url http://hdl.handle.net/10317/527
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:Repositorio Digital UPCT
instname:Universidad Politécnica de Cartagena(UPCT)
instname_str Universidad Politécnica de Cartagena(UPCT)
reponame_str Repositorio Digital UPCT
collection Repositorio Digital UPCT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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