Abstract
Classical and quantum dynamics of a spinless charged particle moving in a thin film placed in a tilted magnetic field is investigated. In the classical limit, nonlinear resonances and the condition of stochastization (Chirikov criterion) are studied. In the quantum case, a system of interacting resonances and an isolated resonance are analyzed. The energy spectrum is calculated numerically in the resonance approximation, and the statistics of the interlevel intervals is examined.
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