Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints

In order to study the connections between Lagrangian and Hamiltonian formalisms constructed from aperhaps singularhigher-order Lagrangian, some geometric structures are constructed. Intermediate spaces between those of Lagrangian and Hamiltonian formalisms, partial Ostrogradskiis transformations and...

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Detalhes bibliográficos
Autores: Gràcia, Xavier, Pons Ràfols, Josep Maria, Román-Roy, Narciso
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1991
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/24566
Acesso em linha:https://hdl.handle.net/2445/24566
Access Level:acceso abierto
Palavra-chave:Camps de galga (Física)
Teoria de camps (Física)
Teoria quàntica
Gauge fields (Physics)
Field theory (Physics)
Quantum theory
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spelling Higher order Lagrangian systems: Geometric structures, Dynamics, and ConstraintsGràcia, XavierPons Ràfols, Josep MariaRomán-Roy, NarcisoCamps de galga (Física)Teoria de camps (Física)Teoria quànticaGauge fields (Physics)Field theory (Physics)Quantum theoryIn order to study the connections between Lagrangian and Hamiltonian formalisms constructed from aperhaps singularhigher-order Lagrangian, some geometric structures are constructed. Intermediate spaces between those of Lagrangian and Hamiltonian formalisms, partial Ostrogradskiis transformations and unambiguous evolution operators connecting these spaces are intrinsically defined, and some of their properties studied. Equations of motion, constraints, and arbitrary functions of Lagrangian and Hamiltonian formalisms are thoroughly studied. In particular, all the Lagrangian constraints are obtained from the Hamiltonian ones. Once the gauge transformations are taken into account, the true number of degrees of freedom is obtained, both in the Lagrangian and Hamiltonian formalisms, and also in all the intermediate formalisms herein defined.American Institute of Physics1991info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/24566Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document proporcionada per AIP i http://dx.doi.org/10.1063/1.529066Journal of Mathematical Physics, 1991, vol. 32, p. 2744http://dx.doi.org/10.1063/1.529066(c) American Institute of Physics, 1991info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/245662026-05-27T06:46:51Z
dc.title.none.fl_str_mv Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
title Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
spellingShingle Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
Gràcia, Xavier
Camps de galga (Física)
Teoria de camps (Física)
Teoria quàntica
Gauge fields (Physics)
Field theory (Physics)
Quantum theory
title_short Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
title_full Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
title_fullStr Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
title_full_unstemmed Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
title_sort Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
dc.creator.none.fl_str_mv Gràcia, Xavier
Pons Ràfols, Josep Maria
Román-Roy, Narciso
author Gràcia, Xavier
author_facet Gràcia, Xavier
Pons Ràfols, Josep Maria
Román-Roy, Narciso
author_role author
author2 Pons Ràfols, Josep Maria
Román-Roy, Narciso
author2_role author
author
dc.subject.none.fl_str_mv Camps de galga (Física)
Teoria de camps (Física)
Teoria quàntica
Gauge fields (Physics)
Field theory (Physics)
Quantum theory
topic Camps de galga (Física)
Teoria de camps (Física)
Teoria quàntica
Gauge fields (Physics)
Field theory (Physics)
Quantum theory
description In order to study the connections between Lagrangian and Hamiltonian formalisms constructed from aperhaps singularhigher-order Lagrangian, some geometric structures are constructed. Intermediate spaces between those of Lagrangian and Hamiltonian formalisms, partial Ostrogradskiis transformations and unambiguous evolution operators connecting these spaces are intrinsically defined, and some of their properties studied. Equations of motion, constraints, and arbitrary functions of Lagrangian and Hamiltonian formalisms are thoroughly studied. In particular, all the Lagrangian constraints are obtained from the Hamiltonian ones. Once the gauge transformations are taken into account, the true number of degrees of freedom is obtained, both in the Lagrangian and Hamiltonian formalisms, and also in all the intermediate formalisms herein defined.
publishDate 1991
dc.date.none.fl_str_mv 1991
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/24566
url https://hdl.handle.net/2445/24566
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document proporcionada per AIP i http://dx.doi.org/10.1063/1.529066
Journal of Mathematical Physics, 1991, vol. 32, p. 2744
http://dx.doi.org/10.1063/1.529066
dc.rights.none.fl_str_mv (c) American Institute of Physics, 1991
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Institute of Physics, 1991
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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