Resonance acceleration of ions in a variable magnetic field

The motion of a particle is considered in a variable magnetic field — the superposition of a driving field H(t) and a weak field oscillating at the frequency =eH(t)/mc. The law of motion is found by the averaging method, and it is shown that the particle energy increases exponentially.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 75–78, October, 1978.In conclusion, thanks are due to the participants in Prof. Sokolov's seminar for discussion of the work.