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Motion of a charged particle in slowly varying electromagnetic fields. (English) Zbl 0505.76128
The motion of a charged particle in specified electric and magnetic fields is studied by use of repeated canonical transformations of a Hamiltonian system. In addition to the usual assumptions that the electromagnetic fields vary slowly in space and time, it is also assumed that the fields vary even more slowly in a distinguished direction. The existence of first and second adiabatic invariants is discussed and the results are applied to a standard plasma configuration, a long, thin mirror machine.
Reviewer: Harold Weitzner

MSC:
78A35 Motion of charged particles
70H05 Hamilton’s equations
70H15 Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics
82B05 Classical equilibrium statistical mechanics (general)
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