Abstract
A derivation of Maxwell's equations in vacuum for the curls of the electric and magnetic fields is given in which the starting point is the Lorentz transformation and the equations for the divergences of the fields. The derivation is used to construct a new axiomatic foundation of electrodynamics, in which the Lorentz force and the equations for the divergences of the fields are postulated.
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L. D. Landau and E. M. Lifshits, Classical Theory of Fields, Addison-Wesley, Reading, Mass. (1951).
V. A. Fock, The Theory of Space, Time, and Gravitation, Pergamon (1964).
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V. A. Ugarov, Special Theory of Relativity [in Russian], Nauka, Moscow (1977).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 66–71, December, 1983.
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Chelnokov, M.B. Relativistic derivation of Maxwell's equations in vacuum and the axiomatic foundation of electrodynamics. Soviet Physics Journal 26, 1125–1130 (1983). https://doi.org/10.1007/BF00894648
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DOI: https://doi.org/10.1007/BF00894648