Velocity and Entropy of Motion in Periodic Potentials
Séminaire Équations aux dérivées partielles (Polytechnique) (1996-1997), Talk 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.

@article{SEDP_1996-1997____A17_0,
author = {Knauf, Andreas},
title = {Velocity and Entropy of Motion in Periodic Potentials},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique)},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {1996-1997},
note = {talk:17},
mrnumber = {1482823},
zbl = {1055.81526},
language = {en},
url = {http://www.numdam.org/item/SEDP_1996-1997____A17_0}
}

Knauf, Andreas. Velocity and Entropy of Motion in Periodic Potentials. Séminaire Équations aux dérivées partielles (Polytechnique) (1996-1997), Talk no. 17, 11 p. http://www.numdam.org/item/SEDP_1996-1997____A17_0/

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