Conservation laws for the Maxwell-Dirac equations with dual Ohm’s law

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...

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Bibliographic Details
Published in:Journal of mathematical physics 2007-05, Vol.48 (5), p.110
Main Authors: Ibragimov, Nail H., Khamitova, Raisa, Thidé, Bo
Format: Article
Language:English
Subjects:
Conservation laws
Differential equations
electric charge
Exact sciences and technology
Fysik
Linear programming
Mathematical methods in physics
Mathematics
Maxwell equations
NATURAL SCIENCES
NATURVETENSKAP
Physics
Sciences and techniques of general use
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Summary: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.
ISSN:0022-2488
1089-7658
1089-7658
DOI:10.1063/1.2735822