Abstract
Drift equations of motion are derived for a charged particle in the case of a strong electric field with allowance for relativistic effects of order v2/c2. The role of these effects is discussed along with the effects of a high-frequency field. The cases of weak and strong electric fields are distinguished [2] in the drift theory of the motion of charged particles in weakly inhomogeneous magnetic and electric fields. In the case of a weak electric field, the electric-drift velocity is vE ≪ v, where v is the characteristic velocity of the particle. For a strong electric field,v E∼v.
The drift theory has now been reasonably well developed for the case of weak electric fields in the classical and relativistic cases, for the absence of high-frequency fields and for the presence of these [1–3], Extension of the theory to strong electric fields involves considerable mathematical difficulties, and this has been done only in the classical approximation with and without hf fields [2–4], Here we consider the drift theory of charged-particle motion for the case of a strong electric field in the weakly relativistic approximation, incorporating terms of order v2/c2, where c is the velocity of light. Also hf fields may be present.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 7–9, September, 1981.
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Kornilovich, S.P., Milant'ev, V.P. Drift theory of charged-particle motion for a strong electric field in a weakly relativistic approximation. Soviet Physics Journal 24, 783–786 (1981). https://doi.org/10.1007/BF00891319
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DOI: https://doi.org/10.1007/BF00891319