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Conservation laws for the Maxwell-Dirac equations with dual Ohm's law
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Science.
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Science.
Responsible organisation
2007 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 48, no 5Article in journal (Refereed) Published
Abstract [en]

Using a general theorem on conservation laws for arbitrary differential equations proved by Ibragimov [J. Math. Anal. Appl. 333, 311-320 (2007)], we have derived conservation laws for Dirac's symmetrized Maxwell-Lorentz equations under the assumption that both the electric and magnetic charges obey linear conductivity laws (dual Ohm's law). We find that this linear system allows for conservation laws which are nonlocal in time. (c) 2007 American Institute of Physics.

Place, publisher, year, edition, pages
MELVILLE: AMER INST PHYSICS , 2007. Vol. 48, no 5
Keyword [en]
conservation laws, Maxwell equations, differential equations, electric charge
National Category
Mathematics
Identifiers
URN: urn:nbn:se:bth-8198DOI: 10.1063/1.2735822ISI: 000246892400060Local ID: oai:bth.se:forskinfo44B2490363645CDDC12575B00020D269OAI: oai:DiVA.org:bth-8198DiVA: diva2:835887
Available from: 2012-09-18 Created: 2009-05-08 Last updated: 2015-09-28Bibliographically approved

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