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Motion of an electron in static and orthogonal electromagnetic fields of a special kind

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Abstract

Two-dimensional motion of an electron is analyzed in static and orthogonal nonuniform electromagnetic fields linearly depending (in the orbital plane) on the coordinate which determines the electric field direction. Exact solutions of relativistic equations of motion have been obtained in the form of elliptical functions. If the fields are of equal magnitudes the solutions can be expressed as elementary functions.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    V. A. Bordovitsin

Authors
  1. V. A. Bordovitsin
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 88–92, October, 1972.

The author takes the opportunity to thank Prof. A. A. Sokolov and Prof. V. G. Bagrov for their interest in this work and for useful discussions.

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Bordovitsin, V.A. Motion of an electron in static and orthogonal electromagnetic fields of a special kind. Soviet Physics Journal 15, 1458–1461 (1972). https://doi.org/10.1007/BF00892094

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  • DOI: https://doi.org/10.1007/BF00892094

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