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Certain properties of the externally invariant Maxwell equations and physical meaning of the external-transformation group

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Abstract

A general vector potential derived for the Maxwell equations in their general form is used to find and analyze the tensor for the angular momentum density. With j = 0, the general Maxwell equations are invariant with respect to a four-parameter group of external displacement, whose addition to the group of external transformations leads to field equations which are invariant with respect to the ten-parameter group of external transformations. For integral quantities, the vector of the total field energy-momentum and the tensor of the total angular momentum, transformations from the inhomogeneous group of external transformations are equivalent to transformations from the inhomogeneous Lorentz group.

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Literature cited

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    G. A. Zaitsev, Izv. VUZ. Fiz. (1969).

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    G. A. Zaitsev, Zh. Eksp. Teor. Fiz.,28, 524 (1955).

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    N. N. Bogolyubov and D. B. Shirkov, Introduction to the Theory of Quantum Fields [in Russian], GITTL (1957).

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    N. G. Chebotarev, Theory of Lie Groups [in Russian], Moscow-Leningrad (1940).

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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 11, pp. 53–57, November, 1969.

The authors thank D. D. Ivanenko, A. E. Levashov, and the participants of the Ivanovo interinstitute seminar on mathematical physics for discussion of these results.

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Zaitsev, G.A., Solunin, A.M. Certain properties of the externally invariant Maxwell equations and physical meaning of the external-transformation group. Soviet Physics Journal 12, 1411–1414 (1969). https://doi.org/10.1007/BF00838293

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Keywords

  • Angular Momentum
  • Physical Meaning
  • Field Equation
  • Vector Potential
  • Maxwell Equation