Scarring and control
on scarring in quantum maps

8 au 19 septembre 2003

Centre de recherches mathématiques,
Université de Montréal
Montréal (Québec), Canada

Organisateurs:
Vojkan Jaksic (McGill University)

Dans le cadre de l'année thématique du CRM en analyse géométrique et spectrale, Stephan De Bièvre (Lille, France) donnera un mini-cours d'une durée de deux semaines.

As a part of the CRM special year Geometric and Spectral Analysis, Stephan De Bièvre from University of Lille will give a special two week course.

"Scarring and control on scarring in quantum maps"

Ce mini-cours aura lieu à l'Université McGill et sera accessible aux étudiants des cycles supérieurs (2e et 3e cycle). Tous sont invités !

The course will be held at McGill University and will be accesible to graduate students. Everybody is welcome!

Horaire / Time Schedule
8-19 septembre / September 8-19
Lundi, mardi, jeudi, vendredi / Monday, Tuesday, Thursday, Friday	13:30 - 15:30	Burnside Hall, salle / Room 1234
Mercredi / Wednesday	12:30 - 14:30	Burnside Hall, salle / Room 1120

Resume / Abstract:

The simplest examples of chaotic Hamiltonian systems are the Anosov automorphisms of the 2d torus. Their quantization therefore yields a class of systems where questions of quantum chaos can be addressed with relative ease.

In these lectures I will present and prove some recent results on the phenomenon of "scarring" of eigenstates of the quantized maps by the unstable periodic orbits of the Anosov automorphisms.

The lectures are based on joint work with F. Bonechi, F. Faure and S. Nonnenmacher.