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General form of the maxwell equations and group of external transformations of electromagnetic quantities

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Abstract

The Maxwell equations in their general form, corresponding to the presence of electric and magnetic charge and currents, are shown to be invariant with respect to a previously unknown group, the “group of external transformations” of electromagnetic quantities. The introduction of this group is based essentially on the use of an algebraic method of writing the Maxwell equations in terms of a real-spinor basis algebra (one of the real forms of Clifford algebra). The algebraic notation is also used to determine the transformation properties of electromagnetic quantities with respect to spatial and temporal reflections.

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Literature cited

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Authors and Affiliations

  1. M. V. Frunze Ivanovo Textile Institute, USSR

    G. A. Zaitsev

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  1. G. A. Zaitsev
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Translated from Izvestiya VUZ. Fizika, No. 12, pp. 19–23, December, 1969.

The author thanks A. Z. Petrov, D. D. Ivanenko, A. E. Levashov, the participants in the seminars under their guidance, and participants of the Ivanovo Interinstitute Seminar on Mathematical Physics for discussion of these results.

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Zaitsev, G.A. General form of the maxwell equations and group of external transformations of electromagnetic quantities. Soviet Physics Journal 12, 1523–1526 (1969). https://doi.org/10.1007/BF00816935

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  • DOI: https://doi.org/10.1007/BF00816935

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