Abstract
The stochastic heating threshold for a classical model is derived by its quantized version. The model is taken from plasma physics being a particle in a constant magnetic field, which is supposed to be weak, under the effect of a sinusoidal wave. We get large fluctuations in momentum if a criterion we derive is satisfied, showing a wide indeterminacy at quantum level when compared with the initial state. It is assumed that the cyclotron frequency and the wave frequency must have an irrational ratio and that the quantum Larmor radius for the ground state is much larger than the inverse of the wave number. \textcopyright{} 1996 The American Physical Society.
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