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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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
Studies
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description 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.
doi_str_mv 10.1063/1.2735822
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source American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list); AIP_美国物理联合会现刊（与NSTL共建）
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
Studies
title Conservation laws for the Maxwell-Dirac equations with dual Ohm’s law
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