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Quantum maps, a case study in quantum chaos
Colloquium| 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''.