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Quantum maps, a case study in quantum chaos


Speaker: Stephan De Bievre, Universite de Lille
Location: 693 Kerr
Start time: Fri, Apr 18 2003, 2:10PM

Quantum chaos is part of semi-classical analysis, in which one tries to understand the semi-classical behaviour of a quantum dynamical system in terms of the properties of the underlying classical Hamiltonian dynamical system. In this talk I will explain and illustrate this program for the case of quantized hyperbolic torus automorphisms. I will concentrate on eigenfunction behaviour, and discuss recent results on ``quantum unique ergodicity'' and ``scarring''.