Transformation properties of the Lagrange function

Detalhes bibliográficos
Autor(a) principal: Ferrario,Carlo
Data de Publicação: 2008
Outros Autores: Passerini,Arianna
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172008000300006
Resumo: In the context of the Lagrangian and Hamiltonian mechanics, a generalized theory of coordinate transformations is analyzed. On the basis of such theory, a misconception concerning the superiority of the Hamiltonian formalism with respect to the Lagrangian one is criticized. The consequent discussion introduces the relationship between the classical Hamilton action and the covariance properties of equations of motion, at the level of undergraduate teaching courses in theoretical mechanics.
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spelling Transformation properties of the Lagrange functiontransformation coordinatesLagrangian and Hamiltonian functionsclassical actioncovarianceIn the context of the Lagrangian and Hamiltonian mechanics, a generalized theory of coordinate transformations is analyzed. On the basis of such theory, a misconception concerning the superiority of the Hamiltonian formalism with respect to the Lagrangian one is criticized. The consequent discussion introduces the relationship between the classical Hamilton action and the covariance properties of equations of motion, at the level of undergraduate teaching courses in theoretical mechanics.Sociedade Brasileira de Física2008-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172008000300006Revista Brasileira de Ensino de Física v.30 n.3 2008reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11172008005000006info:eu-repo/semantics/openAccessFerrario,CarloPasserini,Ariannaeng2009-03-17T00:00:00Zoai:scielo:S1806-11172008000300006Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2009-03-17T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Transformation properties of the Lagrange function
title Transformation properties of the Lagrange function
spellingShingle Transformation properties of the Lagrange function
Ferrario,Carlo
transformation coordinates
Lagrangian and Hamiltonian functions
classical action
covariance
title_short Transformation properties of the Lagrange function
title_full Transformation properties of the Lagrange function
title_fullStr Transformation properties of the Lagrange function
title_full_unstemmed Transformation properties of the Lagrange function
title_sort Transformation properties of the Lagrange function
author Ferrario,Carlo
author_facet Ferrario,Carlo
Passerini,Arianna
author_role author
author2 Passerini,Arianna
author2_role author
dc.contributor.author.fl_str_mv Ferrario,Carlo
Passerini,Arianna
dc.subject.por.fl_str_mv transformation coordinates
Lagrangian and Hamiltonian functions
classical action
covariance
topic transformation coordinates
Lagrangian and Hamiltonian functions
classical action
covariance
description In the context of the Lagrangian and Hamiltonian mechanics, a generalized theory of coordinate transformations is analyzed. On the basis of such theory, a misconception concerning the superiority of the Hamiltonian formalism with respect to the Lagrangian one is criticized. The consequent discussion introduces the relationship between the classical Hamilton action and the covariance properties of equations of motion, at the level of undergraduate teaching courses in theoretical mechanics.
publishDate 2008
dc.date.none.fl_str_mv 2008-09-01
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=S1806-11172008000300006
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172008000300006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11172008005000006
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 Revista Brasileira de Ensino de Física v.30 n.3 2008
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
_version_ 1752122420625408000

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