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

Details Conservation laws for the Maxwell-Dirac equations with a dual Ohm's law Conservation laws for the Maxwell-Dirac equations with a dual Ohm's law

2007-03-05

arxiv.org/abs/math-ph/0703018v1

J. Math. Phys., 48, 053523 (2007)

Physics

Mathematical Physics

Scientific paper

10.1063/1.2735822

Using a general theorem on conservation laws for arbitrary differential equations proved by Ibragimov, 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 non-local in time.

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