Unlimited particle acceleration by waves in a magnetic field

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Abstract
A general description is given to the unlimited acceleration of charged particles by a wave in the presence of a uniform magnetic field. The wave can have an arbitrary mixture of electrostatic and electromagnetic components and the propagation direction in the magnetic field is also arbitrary. Exact limits on parameters for trapping and acceleration are derived. The probability of trapping in a gyration period is also presented, and it is shown that a particle once trapped remains so and undergoes unlimited acceleration.