Special relativity on the light-front
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , |
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=S1806-11172021000100455 |
Resumo: | P.A.M. Dirac in 1949 showed that it is possible to construct relativistic dynamic forms starting from the description of the initial state of a given relativistic system in any space-time surface whose distances between two points on this hypersurface has no causal connection. The dynamic evolution corresponds to such a system following a trajectory through this hypersurface. For example, the commonest hypersurface of time t = 0 is our three-dimensional (Euclidean) space. It is invariant by rotations and translations. However, in any transformation of inertial frame of references that involves “boosts”, the time coordinate is modified and, consequently, the hypersurface at t = 0. Other hypersurfaces may be invariant through some kind of “boost”; the hyperplane that is called null-plane is such a hyperplane, defined by x+ = t + z/c, in which c is the speed of light in vacuum, and plays the role of the “time” coordinate in the light-front. The null-plane defined in such a way guarantees that a “boost” in the z direction does not modify the null-plane. Our aim here is to study special relativity under such a transformation of frame of references and see the consequences thereof. |
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Special relativity on the light-frontMinkowski spaceLorentz transformationsQuantum propagatorP.A.M. Dirac in 1949 showed that it is possible to construct relativistic dynamic forms starting from the description of the initial state of a given relativistic system in any space-time surface whose distances between two points on this hypersurface has no causal connection. The dynamic evolution corresponds to such a system following a trajectory through this hypersurface. For example, the commonest hypersurface of time t = 0 is our three-dimensional (Euclidean) space. It is invariant by rotations and translations. However, in any transformation of inertial frame of references that involves “boosts”, the time coordinate is modified and, consequently, the hypersurface at t = 0. Other hypersurfaces may be invariant through some kind of “boost”; the hyperplane that is called null-plane is such a hyperplane, defined by x+ = t + z/c, in which c is the speed of light in vacuum, and plays the role of the “time” coordinate in the light-front. The null-plane defined in such a way guarantees that a “boost” in the z direction does not modify the null-plane. Our aim here is to study special relativity under such a transformation of frame of references and see the consequences thereof.Sociedade Brasileira de Física2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100455Revista Brasileira de Ensino de Física v.43 2021reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2021-0042info:eu-repo/semantics/openAccessSales,Jorge HenriqueSuzuki,A. T.Santos,Gislan S.Possidonio,Daykson N.eng2021-06-30T00:00:00Zoai:scielo:S1806-11172021000100455Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2021-06-30T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Special relativity on the light-front |
title |
Special relativity on the light-front |
spellingShingle |
Special relativity on the light-front Sales,Jorge Henrique Minkowski space Lorentz transformations Quantum propagator |
title_short |
Special relativity on the light-front |
title_full |
Special relativity on the light-front |
title_fullStr |
Special relativity on the light-front |
title_full_unstemmed |
Special relativity on the light-front |
title_sort |
Special relativity on the light-front |
author |
Sales,Jorge Henrique |
author_facet |
Sales,Jorge Henrique Suzuki,A. T. Santos,Gislan S. Possidonio,Daykson N. |
author_role |
author |
author2 |
Suzuki,A. T. Santos,Gislan S. Possidonio,Daykson N. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Sales,Jorge Henrique Suzuki,A. T. Santos,Gislan S. Possidonio,Daykson N. |
dc.subject.por.fl_str_mv |
Minkowski space Lorentz transformations Quantum propagator |
topic |
Minkowski space Lorentz transformations Quantum propagator |
description |
P.A.M. Dirac in 1949 showed that it is possible to construct relativistic dynamic forms starting from the description of the initial state of a given relativistic system in any space-time surface whose distances between two points on this hypersurface has no causal connection. The dynamic evolution corresponds to such a system following a trajectory through this hypersurface. For example, the commonest hypersurface of time t = 0 is our three-dimensional (Euclidean) space. It is invariant by rotations and translations. However, in any transformation of inertial frame of references that involves “boosts”, the time coordinate is modified and, consequently, the hypersurface at t = 0. Other hypersurfaces may be invariant through some kind of “boost”; the hyperplane that is called null-plane is such a hyperplane, defined by x+ = t + z/c, in which c is the speed of light in vacuum, and plays the role of the “time” coordinate in the light-front. The null-plane defined in such a way guarantees that a “boost” in the z direction does not modify the null-plane. Our aim here is to study special relativity under such a transformation of frame of references and see the consequences thereof. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 |
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=S1806-11172021000100455 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100455 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1806-9126-rbef-2021-0042 |
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.43 2021 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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1752122425252773888 |