Elementary derivation of the expressions of momentum and energy in special relativity

Detalhes bibliográficos
Autor(a) principal: Peliti,Luca
Data de Publicação: 2016
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=S1806-11172016000200412
Resumo: The derivation of the expressions of momentum and energy of a particle in special relativity is often less than satisfactory in elementary texts. In some, it is obtained by resorting to quantum or electrodynamic considerations, in others by introducing non-elementary concepts, like that of a four-vector, or even misleading ones, like “relativistic mass”. Nevertheless it is possible, following ideas described by Einstein in 1935, to obtain a fully elementary derivation of these expressions based only on the Lorentz transformations, on the conservation laws, and on the Newtonian limit. The resulting argument allows for a clearer and logically consistent introduction to the basic concepts of relativistic dynamics.
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spelling Elementary derivation of the expressions of momentum and energy in special relativitySpecial relativityLorentz transformationsenergymomentumconservation lawsThe derivation of the expressions of momentum and energy of a particle in special relativity is often less than satisfactory in elementary texts. In some, it is obtained by resorting to quantum or electrodynamic considerations, in others by introducing non-elementary concepts, like that of a four-vector, or even misleading ones, like “relativistic mass”. Nevertheless it is possible, following ideas described by Einstein in 1935, to obtain a fully elementary derivation of these expressions based only on the Lorentz transformations, on the conservation laws, and on the Newtonian limit. The resulting argument allows for a clearer and logically consistent introduction to the basic concepts of relativistic dynamics.Sociedade Brasileira de Física2016-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172016000200412Revista Brasileira de Ensino de Física v.38 n.2 2016reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2015-0029info:eu-repo/semantics/openAccessPeliti,Lucaeng2016-05-04T00:00:00Zoai:scielo:S1806-11172016000200412Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2016-05-04T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Elementary derivation of the expressions of momentum and energy in special relativity
title Elementary derivation of the expressions of momentum and energy in special relativity
spellingShingle Elementary derivation of the expressions of momentum and energy in special relativity
Peliti,Luca
Special relativity
Lorentz transformations
energy
momentum
conservation laws
title_short Elementary derivation of the expressions of momentum and energy in special relativity
title_full Elementary derivation of the expressions of momentum and energy in special relativity
title_fullStr Elementary derivation of the expressions of momentum and energy in special relativity
title_full_unstemmed Elementary derivation of the expressions of momentum and energy in special relativity
title_sort Elementary derivation of the expressions of momentum and energy in special relativity
author Peliti,Luca
author_facet Peliti,Luca
author_role author
dc.contributor.author.fl_str_mv Peliti,Luca
dc.subject.por.fl_str_mv Special relativity
Lorentz transformations
energy
momentum
conservation laws
topic Special relativity
Lorentz transformations
energy
momentum
conservation laws
description The derivation of the expressions of momentum and energy of a particle in special relativity is often less than satisfactory in elementary texts. In some, it is obtained by resorting to quantum or electrodynamic considerations, in others by introducing non-elementary concepts, like that of a four-vector, or even misleading ones, like “relativistic mass”. Nevertheless it is possible, following ideas described by Einstein in 1935, to obtain a fully elementary derivation of these expressions based only on the Lorentz transformations, on the conservation laws, and on the Newtonian limit. The resulting argument allows for a clearer and logically consistent introduction to the basic concepts of relativistic dynamics.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01
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=S1806-11172016000200412
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172016000200412
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2015-0029
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.38 n.2 2016
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
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