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Arbeitsgemeinschaft: Quantum Ergodicity

URN to cite this document:
urn:nbn:de:bvb:355-epub-282132
Bunke, Ulrich ; Nonnenmacher, Stephane ; Schubert, Roman
Date of publication of this fulltext: 17 May 2013 08:05


Abstract

Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting chaotic classical limiting dynamics. A paradigmatic system is the Laplace-Beltrami operator on a compact manifold of negative sectional curvature: its classical limit is the geodesic flow on the manifold, which is of Anosov type. Although no explicit expression is available for the eigenstates, one ...

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