The lorentz group, a galilean approach

ABSTRACT: We present a pedagogical approach to the Lorentz group. We start by introducing a compact notation to express the elements of the fundamental representation of the rotations group. Lorentz coordinate transformations are derived in a novel and compact form. We show how to make a Lorentz tra...

Full description

Autores:
Jaramillo Arango, Daniel Esteban
Vanegas Arbeláez, Nelson
Tipo de recurso:
Article of investigation
Fecha de publicación:
2004
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/30723
Acceso en línea:
https://hdl.handle.net/10495/30723
Palabra clave:
Relatividad (física)
Relativity (physics)
Transformaciones de Lorentz
Lorentz transformations
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/2.5/co/
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dc.title.spa.fl_str_mv The lorentz group, a galilean approach
title The lorentz group, a galilean approach
spellingShingle The lorentz group, a galilean approach
Relatividad (física)
Relativity (physics)
Transformaciones de Lorentz
Lorentz transformations
title_short The lorentz group, a galilean approach
title_full The lorentz group, a galilean approach
title_fullStr The lorentz group, a galilean approach
title_full_unstemmed The lorentz group, a galilean approach
title_sort The lorentz group, a galilean approach
dc.creator.fl_str_mv Jaramillo Arango, Daniel Esteban
Vanegas Arbeláez, Nelson
dc.contributor.author.none.fl_str_mv Jaramillo Arango, Daniel Esteban
Vanegas Arbeláez, Nelson
dc.contributor.researchgroup.spa.fl_str_mv Grupo de Fenomenología de Interacciones Fundamentales
dc.subject.lemb.none.fl_str_mv Relatividad (física)
Relativity (physics)
Transformaciones de Lorentz
Lorentz transformations
topic Relatividad (física)
Relativity (physics)
Transformaciones de Lorentz
Lorentz transformations
description ABSTRACT: We present a pedagogical approach to the Lorentz group. We start by introducing a compact notation to express the elements of the fundamental representation of the rotations group. Lorentz coordinate transformations are derived in a novel and compact form. We show how to make a Lorentz transformation on the electromagnetic fields as well. A covariant time-derivative is introduced in order to deal with non-inertial systems. Examples of the usefulness of these results such as the rotating system and the Thomas precession, are also presented.
publishDate 2004
dc.date.issued.none.fl_str_mv 2004
dc.date.accessioned.none.fl_str_mv 2022-09-20T20:41:21Z
dc.date.available.none.fl_str_mv 2022-09-20T20:41:21Z
dc.type.spa.fl_str_mv Artículo de investigación
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dc.identifier.citation.spa.fl_str_mv Vanegas, N., & Jaramillo, D. E. (2004). The lorentz group, a galilean approach. Revista Mexicana de Física, 50(1),41-46.
dc.identifier.issn.none.fl_str_mv 0035-001X
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/30723
dc.identifier.eissn.none.fl_str_mv 2683-2224
identifier_str_mv Vanegas, N., & Jaramillo, D. E. (2004). The lorentz group, a galilean approach. Revista Mexicana de Física, 50(1),41-46.
0035-001X
2683-2224
url https://hdl.handle.net/10495/30723
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Rev. Mex. Fís.
dc.relation.citationendpage.spa.fl_str_mv 46
dc.relation.citationissue.spa.fl_str_mv 1
dc.relation.citationstartpage.spa.fl_str_mv 41
dc.relation.citationvolume.spa.fl_str_mv 50
dc.relation.ispartofjournal.spa.fl_str_mv Revista Mexicana de Física
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dc.publisher.spa.fl_str_mv Sociedad Mexicana de Física A.C.
dc.publisher.place.spa.fl_str_mv Ciudad de México, México
institution Universidad de Antioquia
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spelling Jaramillo Arango, Daniel EstebanVanegas Arbeláez, NelsonGrupo de Fenomenología de Interacciones Fundamentales2022-09-20T20:41:21Z2022-09-20T20:41:21Z2004Vanegas, N., & Jaramillo, D. E. (2004). The lorentz group, a galilean approach. Revista Mexicana de Física, 50(1),41-46.0035-001Xhttps://hdl.handle.net/10495/307232683-2224ABSTRACT: We present a pedagogical approach to the Lorentz group. We start by introducing a compact notation to express the elements of the fundamental representation of the rotations group. Lorentz coordinate transformations are derived in a novel and compact form. We show how to make a Lorentz transformation on the electromagnetic fields as well. A covariant time-derivative is introduced in order to deal with non-inertial systems. Examples of the usefulness of these results such as the rotating system and the Thomas precession, are also presented.RESUMEN: En este trabajo se presenta una aproximación pedagógica al grupo de Lorentz. Se comienza introduciendo una notación compacta para expresar los elementos de la representación fundamental del grupo de rotaciones. Las transformaciones de Lorentz de las coordenadas se derivan de una manera compacta. Se muestra tambien cómo realizar las transformaciones de Lorentz sobre los campos electromagnéticos. Se introduce una derivada temporal covariante para tratar con sistemas no inerciales, para mostrar la utilidad de este método se presentan tambien ejemplos tales como el sistema rotante y la precesión de Thomas.COL00084235application/pdfengSociedad Mexicana de Física A.C.Ciudad de México, Méxicohttp://creativecommons.org/licenses/by-nc-nd/2.5/co/https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2The lorentz group, a galilean approachArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionRelatividad (física)Relativity (physics)Transformaciones de LorentzLorentz transformationsRev. Mex. 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