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MP: Theoretische und Mathematische Grundlagen der Physik
MP VIII: HV VIII
MP VIII.1: Hauptvortrag
Mittwoch, 19. März 1997, 11:45–12:30, HS 118
Classical and Quantum Motion in Periodic Potentials — •Andreas Knauf1, Joachim Asch2, Fabio Benatti3, and Thomas Hudetz4 — 1TU Berlin, FB Mathematik, Str. des 17. Juni 136, 10623 Berlin — 2Universitè Toulon, Frankreich — 3Dipartimento di Fisica teorica, Università di Trieste, Strada Costiera 11, Italien — 4Institut für Theoretische Physik, Boltzmanngasse 9, A-1050 Wien, "Osterreich
We consider the form of the motion of a classical and quantum particle and corresponding noninteracting gases in a periodic potential. Classically this motion need not be ballistic but may be diffusive or even bounded above the maximum of the potential. It is never Anosov if the potential is twice differentiable. On the other hand, the quantal motion is ballistic, and the distribution of group velocity approaches the classical distribution in the semiclassical limit. We also consider the classical and quantal dynamical entropies. An appropriately rescaled CNT entropy of the gas is LOWERED if the classical KS entropy is enhanced by stochastic motion.