On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory
Autor(a) principal: | |
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Data de Publicação: | 1970 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/BF02758981 http://hdl.handle.net/11449/231135 |
Resumo: | Both the «direct» and the «inverse» Noether's theorems are generalized to allow for infinitesimal transformations that add to the action functional an integral over a 4-divergence and an integral over a function vanishing «on the orbit» (Noether transformations). It is then shown that: i) to every Noether transformation there corresponds a «weak» continuity equation and a family of Nother transformations (Noether family) defining the same continuity equation; ii) every Noether family contains an invariance transformation; iii) to every «weak» continuity equation there corresponds a Noether family; iv) every Noether family contains a subset of Noether transformations equivalent to a 4-divergence translation of the Lagrangian density. © 1970, Società Italiana di Fisica. All rights reserved. |
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Repositório Institucional da UNESP |
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On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theoryBoth the «direct» and the «inverse» Noether's theorems are generalized to allow for infinitesimal transformations that add to the action functional an integral over a 4-divergence and an integral over a function vanishing «on the orbit» (Noether transformations). It is then shown that: i) to every Noether transformation there corresponds a «weak» continuity equation and a family of Nother transformations (Noether family) defining the same continuity equation; ii) every Noether family contains an invariance transformation; iii) to every «weak» continuity equation there corresponds a Noether family; iv) every Noether family contains a subset of Noether transformations equivalent to a 4-divergence translation of the Lagrangian density. © 1970, Società Italiana di Fisica. All rights reserved.Sezione di Napoli Istituto Nazionale di Fisica Nucleare, NapoliScuola di Perfezionamento in Fisica Teorica E Nucleare Università Napoli, NapoliIstituto di Fisica Teorica Università NapoliInstituto de Física Teórica, São PauloIstituto Nazionale di Fisica NucleareUniversità NapoliInstituto de Física TeóricaCandotti, E.Palmieri, C.Vitale, B.2022-04-29T08:43:47Z2022-04-29T08:43:47Z1970-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article233-246http://dx.doi.org/10.1007/BF02758981Il Nuovo Cimento A, v. 70, n. 2, p. 233-246, 1970.1826-98690369-3546http://hdl.handle.net/11449/23113510.1007/BF027589812-s2.0-51249190515Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIl Nuovo Cimento Ainfo:eu-repo/semantics/openAccess2022-04-29T08:43:47Zoai:repositorio.unesp.br:11449/231135Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T08:43:47Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory |
title |
On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory |
spellingShingle |
On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory Candotti, E. |
title_short |
On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory |
title_full |
On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory |
title_fullStr |
On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory |
title_full_unstemmed |
On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory |
title_sort |
On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory |
author |
Candotti, E. |
author_facet |
Candotti, E. Palmieri, C. Vitale, B. |
author_role |
author |
author2 |
Palmieri, C. Vitale, B. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Istituto Nazionale di Fisica Nucleare Università Napoli Instituto de Física Teórica |
dc.contributor.author.fl_str_mv |
Candotti, E. Palmieri, C. Vitale, B. |
description |
Both the «direct» and the «inverse» Noether's theorems are generalized to allow for infinitesimal transformations that add to the action functional an integral over a 4-divergence and an integral over a function vanishing «on the orbit» (Noether transformations). It is then shown that: i) to every Noether transformation there corresponds a «weak» continuity equation and a family of Nother transformations (Noether family) defining the same continuity equation; ii) every Noether family contains an invariance transformation; iii) to every «weak» continuity equation there corresponds a Noether family; iv) every Noether family contains a subset of Noether transformations equivalent to a 4-divergence translation of the Lagrangian density. © 1970, Società Italiana di Fisica. All rights reserved. |
publishDate |
1970 |
dc.date.none.fl_str_mv |
1970-01-01 2022-04-29T08:43:47Z 2022-04-29T08:43:47Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/BF02758981 Il Nuovo Cimento A, v. 70, n. 2, p. 233-246, 1970. 1826-9869 0369-3546 http://hdl.handle.net/11449/231135 10.1007/BF02758981 2-s2.0-51249190515 |
url |
http://dx.doi.org/10.1007/BF02758981 http://hdl.handle.net/11449/231135 |
identifier_str_mv |
Il Nuovo Cimento A, v. 70, n. 2, p. 233-246, 1970. 1826-9869 0369-3546 10.1007/BF02758981 2-s2.0-51249190515 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Il Nuovo Cimento A |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
233-246 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803650135484268544 |