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The unusual features of drift-oscillatory motion of a charged relativistic particle in an alternating electric field

Vladimir Ivchenko
Vol. 14 (2026), No. 1, 11–18
DOI: 10.2140/memocs.2026.14.11
Abstract

We consider the properties of two-dimensional drift-oscillatory motion of a relativistic charged particle under the action of harmonic driving electric force. It is shown that the longitudinal and transverse drift speeds are not equal to the corresponding initial components of the speed and depend on the initial conditions. Under certain conditions, the dependence of the transverse component of the drift velocity on the amplitude of the external force (or the inverse frequency) has an intermediate maximum. We also discuss the circumstances under which the localization of the particle or reversing of its initial longitudinal motion, as well as the oscillation attenuation effect take place.

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Keywords
driving harmonic force, relativistic charged particle, drift-oscillating motion
Mathematical Subject Classification
Primary: 34C10, 78A35, 83A05
Milestones
Received: 17 May 2025
Revised: 5 September 2025
Accepted: 22 October 2025
Published: 28 November 2025

Communicated by Matteo Luca Ruggiero
Authors
Vladimir Ivchenko
Department of Energy, Electrical Engineering and Physics
Kherson National Technical University
Kherson 73008
Ukraine
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