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Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave. (English) Zbl 0982.78004

Summary: The dynamics of a relativistic charged particle in an uniform magnetic field and an electrostatic plane wave is studied. For a small-amplitude high-frequency wave, the system is reduced to a two-degree-of-freedom Hamiltonian system with slow and fast variables. In this system, the phenomena of capture into resonance and scattering on the resonance are described. These phenomena determine the long-term dynamics of the particle.

MSC:

78A35 Motion of charged particles
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
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