Quantum chaos and dynamical entropy

Benatti F, Hudetz T, Knauf A (1998)

Publication Type: Journal article, Original article

Publication year: 1998

Journal

Communications in Mathematical Physics Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 198

Pages Range: 607--688

Journal Issue: 3

DOI: 10.1007/s002200050489

Abstract

We review the notion of dynamical entropy by Connes, Narnhofer and Thirring and relate it to Quantum Chaos. A particle in a periodic potential is used as an example. This is worked out in the classical and the quantum mechanical framework, for the single particle as well as for the corresponding gas.

The comparison does not only support the general assertion that quantum mechanics is qualitatively less chaotic than classical mechanics. More specifically, the same dynamical mechanism by which a periodic potential leads to a positive dynamical entropy of the classical particle may reduce the dynamical entropy of the quantum gas in comparison to free motion.

Authors with CRIS profile

Andreas Knauf Lehrstuhl für Mathematik (Mathematische Physik)

Involved external institutions

Universität Wien / University of Vienna AT Austria (AT) Università degli Studi di Trieste IT Italy (IT)

How to cite

APA:

Benatti, F., Hudetz, T., & Knauf, A. (1998). Quantum chaos and dynamical entropy. Communications in Mathematical Physics, 198(3), 607--688. https://dx.doi.org/10.1007/s002200050489

MLA:

Benatti, Fabio, Thomas Hudetz, and Andreas Knauf. "Quantum chaos and dynamical entropy." Communications in Mathematical Physics 198.3 (1998): 607--688.

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