On the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theory

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dc.contributor.authorCandotti, E.
dc.contributor.authorPalmieri, C.
dc.contributor.authorVitale, B.
dc.contributor.institutionIstituto Nazionale di Fisica Nucleare
dc.contributor.institutionUniversità Napoli
dc.contributor.institutionInstituto de Física Teórica
dc.date.accessioned2022-04-29T08:43:47Z
dc.date.available2022-04-29T08:43:47Z
dc.date.issued1970-01-01
dc.description.abstractBoth 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.en
dc.description.affiliationSezione di Napoli Istituto Nazionale di Fisica Nucleare, Napoli
dc.description.affiliationScuola di Perfezionamento in Fisica Teorica E Nucleare Università Napoli, Napoli
dc.description.affiliationIstituto di Fisica Teorica Università Napoli
dc.description.affiliationInstituto de Física Teórica, São Paulo
dc.format.extent233-246
dc.identifierhttp://dx.doi.org/10.1007/BF02758981
dc.identifier.citationIl Nuovo Cimento A, v. 70, n. 2, p. 233-246, 1970.
dc.identifier.doi10.1007/BF02758981
dc.identifier.issn1826-9869
dc.identifier.issn0369-3546
dc.identifier.scopus2-s2.0-51249190515
dc.identifier.urihttp://hdl.handle.net/11449/231135
dc.language.isoeng
dc.relation.ispartofIl Nuovo Cimento A
dc.sourceScopus
dc.titleOn the inversion of Noether's theorem in the Lagrangian formalism: II.—Classical field theoryen
dc.typeArtigo

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