München 1997 – wissenschaftliches Programm

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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.