Lund, 22nd - 24th January 2004
Quantum Ergodicity - Basic Ideas and Recent Developments
Semiclassical Foundation of Universality in Quantum Chaos
Stefan Heusler (Essen)
We present the semiclassical core of a proof of the so-called
Bohigas-Giannoni-Schmidt-conjecture: A dynamical sytem with full classical
chaos
has a quantum energy spectrum with universal spectral fluctuations on the
scale given
by the mean level spacing. We show how in the semiclassical limit all system
specific
properties fade away, leaving only ergodicity, combinatorics and topology in
action. We
thus build bridges between classical periodic orbits and the sigma model of
quantum field theory.
[1] Sebastian Müller, Stefan Heusler, Petr Braun, Fritz Haake and
Alexander Altland: Semiclassical Foundation of Universality in
Quantum Chaos,
nlin.CD/0401021
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Workshop Home
Last modified: May 23 2004
Stefan Keppeler
(quantum.ergodicityATmatfys.lth.se)
