 01207 DeBievre Stephan
 Quantum chaos: a brief first visit
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Jun 5, 01

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Abstract. These notes contain a slightly expanded version of six lectures I
delivered at the Cuernavaca Summer School on Analysis and Mathematical
Physics (June 2000). They provide an elementary and selfcontained
introduction to some aspects of quantum chaos that is adapted  it is
hoped  to the audience of the school, which consisted of advanced
undergraduate and beginning graduate students in mathematics having had
little or no exposure to physics in general and to classical or quantum
mechanics in particular. The lectures therefore include brief
selfcontained introductions to the Hamiltonian and quantum mechanics of
a point particle. The basic problematics of quantum chaos is first
explained using billiards as an example. Chaotic maps on the torus are
then treated in some detail and a complete and selfcontained proof of
the Schnirelman theorem is given in this context.
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