Modified symplectic structures in cotangent bundles of lie groups

Detalhes bibliográficos
Autor(a) principal: Vanhecke,F.J.
Data de Publicação: 2009
Outros Autores: Sigaud,C., Silva,A.R. da
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000100003
Resumo: In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space Q = R N, by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this article, we claim that such an extension can be done consistently when Q is a Lie group G.
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spelling Modified symplectic structures in cotangent bundles of lie groupsSymplectic MechanicsNoncommutative Configuration SpaceIn earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space Q = R N, by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this article, we claim that such an extension can be done consistently when Q is a Lie group G.Sociedade Brasileira de Física2009-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000100003Brazilian Journal of Physics v.39 n.1 2009reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332009000100003info:eu-repo/semantics/openAccessVanhecke,F.J.Sigaud,C.Silva,A.R. daeng2009-06-15T00:00:00Zoai:scielo:S0103-97332009000100003Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2009-06-15T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Modified symplectic structures in cotangent bundles of lie groups
title Modified symplectic structures in cotangent bundles of lie groups
spellingShingle Modified symplectic structures in cotangent bundles of lie groups
Vanhecke,F.J.
Symplectic Mechanics
Noncommutative Configuration Space
title_short Modified symplectic structures in cotangent bundles of lie groups
title_full Modified symplectic structures in cotangent bundles of lie groups
title_fullStr Modified symplectic structures in cotangent bundles of lie groups
title_full_unstemmed Modified symplectic structures in cotangent bundles of lie groups
title_sort Modified symplectic structures in cotangent bundles of lie groups
author Vanhecke,F.J.
author_facet Vanhecke,F.J.
Sigaud,C.
Silva,A.R. da
author_role author
author2 Sigaud,C.
Silva,A.R. da
author2_role author
author
dc.contributor.author.fl_str_mv Vanhecke,F.J.
Sigaud,C.
Silva,A.R. da
dc.subject.por.fl_str_mv Symplectic Mechanics
Noncommutative Configuration Space
topic Symplectic Mechanics
Noncommutative Configuration Space
description In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space Q = R N, by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this article, we claim that such an extension can be done consistently when Q is a Lie group G.
publishDate 2009
dc.date.none.fl_str_mv 2009-03-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000100003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000100003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332009000100003
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.39 n.1 2009
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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