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A discussion of conservation laws for over-determined systems with application to the Maxwell equations in vacuum.
Responsible organisation
2007 (English)In: Archives of ALGA, ISSN 1652-4934, Vol. 4, 19-54 p.Article in journal (Refereed) Published
Abstract [en]

The evolutionary part of Maxwell's equations has a Lagrangian written in terms of the electric and magnetic fields, but admit neither Lorentz nor conformal transformations. The additional equations on vanishing the divergences of the electric and magnetic fields guarantee the Lorentz and conformal invariance, but the resulting overdetermined system does not have a Lagrangian. The aim of the present paper is to attain a harmony between these two contradictory properties.

Place, publisher, year, edition, pages
Karlskrona; Sweden: ALGA publications, BTH , 2007. Vol. 4, 19-54 p.
Keyword [en]
Conservation laws, the Maxwell equations in vacuum.
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8836Local ID: oai:bth.se:forskinfo1DD94C3E54127658C12573BF002F3987OAI: oai:DiVA.org:bth-8836DiVA: diva2:836591
Available from: 2012-09-18 Created: 2007-12-28 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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