Quantum Mechanical Suppression of Classical Stochasticity in the Dynamics of Periodically Perturbed Surface-State Electrons

Abstract

The classical and the quantum mechanical descriptions of surface-state electrons which are perturbed by a periodic force $F\left(t\right)=e\epsilon \Sigma n^{} \delta \mathrm{}(t-nT)\mathrm{}$ are compared. The stochastic behavior which characterizes the classical treatment, and which is manifested by the energy diffusion and ionization rates, is suppressed by quantum effects.