Velocity and Entropy of Motion in Periodic Potentials
Knauf, Andreas1
1 Max-Planck-Institut für Math. in den Naturw., Inselstr. 22–26, D-04103 Leipzig, Germany
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1996-1997), Exposé no. 17, 11 p.

This is a report on recent joint work with J. Asch, and with T. Hudetz and F. Benatti.

We consider classical, quantum and semiclassical motion in periodic potentials and prove various results on the distribution of asymptotic velocities.

The Kolmogorov-Sinai entropy and its quantum generalization, the Connes-Narnhofer-Thirring entropy, of the single particle and of a gas of noninteracting particles are related.

Knauf, Andreas 1

1 Max-Planck-Institut für Math. in den Naturw., Inselstr. 22–26, D-04103 Leipzig, Germany 
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Knauf, Andreas. Velocity and Entropy of Motion in Periodic Potentials. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1996-1997), Exposé no. 17, 11 p. http://www.numdam.org/item/SEDP_1996-1997____A17_0/

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