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Conservation laws for symmetrised electromagnetic equations with a dual Ohm's law
Blekinge Tekniska Högskola, Sektionen för teknik, Avdelningen för matematik och naturvetenskap.
Blekinge Tekniska Högskola, Sektionen för teknik, Avdelningen för matematik och naturvetenskap.
Ansvarlig organisasjon
2007 (engelsk)Konferansepaper, Oral presentation only (Fagfellevurdert)
Abstract [en]

In all areas of physics, conservation laws are essential since they allow us to draw conclusions of our physical system under study in an indirect but efficient way. Electrodynamics, in terms of the standard Maxwell electromagnetic equations for fields in vacuum, exhibit a rich set of symmetries to which conserved quantities are associated. We have derived conservation laws for Dirac's symmetric version of the Maxwell-Lorentz microscopic equations, allowing magnetic charges and magnetic currents, where the latter, just as electric currents, are assumed to be described by a linear relationship between the field and the current, i.e. an Ohm's law. We find that when we use the method of Ibragimov to construct the conservation laws, they will contain two new adjoint vector fields which fulfil Maxwell-like equations. In particular, we obtain conservation laws for the electromagnetic field which are nonlocal in time.

sted, utgiver, år, opplag, sider
Karlskrona, Sweden, 2007.
Emneord [en]
Conservation laws, Maxwell electromagnetic equations for fields in vacuum
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-8718Lokal ID: oai:bth.se:forskinfo635747B58EC2FE42C12573C900334809OAI: oai:DiVA.org:bth-8718DiVA, id: diva2:836470
Konferanse
International conference MOGRAN 11, Karlskrona
Tilgjengelig fra: 2012-09-18 Laget: 2008-01-07 Sist oppdatert: 2015-09-28bibliografisk kontrollert

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Ibragimov, Nail H.Khamitova, Raisa

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RefereraExporteraLink to record
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  • de-DE
  • en-GB
  • en-US
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  • sv-SE
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