Routh reduction for first-order Lagrangian field theories

Autores
Capriotti, Santiago; García-Toraño Andrés, Eduardo
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative example is discussed in detail.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: García-Toraño Andrés, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Materia
LAGRANGIAN FIELD THEORY
MOMENTUM
REDUCTION
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:11336/89063
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Routh reduction for first-order Lagrangian field theoriesCapriotti, SantiagoGarcía-Toraño Andrés, EduardoLAGRANGIAN FIELD THEORYMOMENTUMREDUCTIONSYMMETRYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative example is discussed in detail.Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: García-Toraño Andrés, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaSpringer2018-11-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/89063Capriotti, Santiago; García-Toraño Andrés, Eduardo; Routh reduction for first-order Lagrangian field theories; Springer; Letters In Mathematical Physics; 109; 6; 22-11-2018; 1343-13760377-90171573-0530CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11005-018-1140-6info:eu-repo/semantics/altIdentifier/doi/10.1007/s11005-018-1140-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:59Zoai:ri.conicet.gov.ar:11336/89063instacron: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 09:36:59.952CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Routh reduction for first-order Lagrangian field theories
title Routh reduction for first-order Lagrangian field theories
spellingShingle Routh reduction for first-order Lagrangian field theories
Capriotti, Santiago
LAGRANGIAN FIELD THEORY
MOMENTUM
REDUCTION
SYMMETRY
title_short Routh reduction for first-order Lagrangian field theories
title_full Routh reduction for first-order Lagrangian field theories
title_fullStr Routh reduction for first-order Lagrangian field theories
title_full_unstemmed Routh reduction for first-order Lagrangian field theories
title_sort Routh reduction for first-order Lagrangian field theories
dc.creator.none.fl_str_mv Capriotti, Santiago
García-Toraño Andrés, Eduardo
author Capriotti, Santiago
author_facet Capriotti, Santiago
García-Toraño Andrés, Eduardo
author_role author
author2 García-Toraño Andrés, Eduardo
author2_role author
dc.subject.none.fl_str_mv LAGRANGIAN FIELD THEORY
MOMENTUM
REDUCTION
SYMMETRY
topic LAGRANGIAN FIELD THEORY
MOMENTUM
REDUCTION
SYMMETRY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative example is discussed in detail.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: García-Toraño Andrés, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
description We present a reduction theory for first-order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative example is discussed in detail.
publishDate 2018
dc.date.none.fl_str_mv 2018-11-22
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/11336/89063
Capriotti, Santiago; García-Toraño Andrés, Eduardo; Routh reduction for first-order Lagrangian field theories; Springer; Letters In Mathematical Physics; 109; 6; 22-11-2018; 1343-1376
0377-9017
1573-0530
CONICET Digital
CONICET
url http://hdl.handle.net/11336/89063
identifier_str_mv Capriotti, Santiago; García-Toraño Andrés, Eduardo; Routh reduction for first-order Lagrangian field theories; Springer; Letters In Mathematical Physics; 109; 6; 22-11-2018; 1343-1376
0377-9017
1573-0530
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11005-018-1140-6
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11005-018-1140-6
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
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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