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On the Time Integral of Electromagnetic Field

  • ATOMS, MOLECULES, OPTICS
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An ATOMS, MOLECULES, OPTICS to this article was published on 01 December 2023

Abstract

The integral over time of an electric or magnetic field in infinite limits (Bessonov integral) is considered; it is shown that it is equal to zero for any configuration of the free electromagnetic field with zero total energy. The connection between zero Bessonov integral and the impossibility of emission or absorption of a photon by a free charged particle is investigated. Exact expressions for the radiation field as well as its Fourier transform are obtained for an electric charge with an abrupt change in the velocity; it is shown that the Bessonov integral of such a radiation field equals zero as follows from the general statement. In conclusion it is shown that a nonzero Bessonov integral of the radiation field produced by an electric charge moving with acceleration, which has been reported in a number of publications, appears because of the incorrect decomposition of the total field of the accelerated charge into the radiative and nonradiative components.

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Notes

  1. Here and below, velocity of light c = 1.

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ACKNOWLEDGMENTS

The author is grateful to A.V. Vinogradov and I.A. Artyukov for fruitful discussions.

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Authors and Affiliations

  1. Lebedev Physical Institute, Russian Academy of Sciences, 199991, Moscow, Russia

    R. M. Feshchenko

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  1. R. M. Feshchenko
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Correspondence to R. M. Feshchenko.

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Translated by N. Wadhwa

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Feshchenko, R.M. On the Time Integral of Electromagnetic Field. J. Exp. Theor. Phys. 136, 406–410 (2023). https://doi.org/10.1134/S1063776123040027

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  • DOI: https://doi.org/10.1134/S1063776123040027

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