Abstract
In the transition from Maxwell's equation in vacuum to the equations for a medium, the problem of calculating the average total current density in the medium arises. Until now, this problem has only been solved in the linear approximation. Here a rigorous derivation is given. We also consider the physical meaning of the magnetization vector and its expression in terms of the parameters of the medium in the general (not only static) case.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 71–75, December, 1983.
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Chelnokov, M.B. Relativistic derivation of the Maxwell-Lorentz equations for a medium. Soviet Physics Journal 26, 1130–1134 (1983). https://doi.org/10.1007/BF00894649
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DOI: https://doi.org/10.1007/BF00894649