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Relativistic particle in a traveling magnetic field

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Abstract

A Hamiltonian formalism is applied to derive an exact solution to the equation of motion of a charged particle in the electromagnetic field of a traveling current wave. The particle motion is studied in a monochromatic magnetic field and in the traveling jump-like front of the magnetic field, and the wave mechanism for betatron acceleration is analyzed. It is shown that, in each of these situations, a charged particle can be accelerated simultaneously in both the longitudinal and transverse directions.

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Authors and Affiliations

  1. Advanced Education and Science Center, Moscow State University, Moscow, 121357, Russia

    A. I. Toropova

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  1. A. I. Toropova
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 70, No. 7, 2000, pp. 14–17.

Original Russian Text Copyright © 2000 by Toropova.

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Toropova, A.I. Relativistic particle in a traveling magnetic field. Tech. Phys. 45, 826–830 (2000). https://doi.org/10.1134/1.1259733

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  • DOI: https://doi.org/10.1134/1.1259733

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