"Spectral Theory and Mathematical Physics"

In honor of Vladimir Georgescu



Cergy-Pontoise, June 21-24, 2016.





Photo Credit: Cergy - Axe majeur, www.cergypontoise.fr/jcms/p2_85721/fr/le-patrimoine-moderne





Program

Spyros Alexakis
Kaïs Ammari
Jean-Marc Bouclet
Jan Derezinski

Clotilde Fermanian Kammerer

Christian Gérard

Sylvain Golénia

Dietrich Häfner

Matti Lassas

Mathieu Lewin

Jacob Schach Moller

Francis Nier

Victor Nistor

Benoit Pausader



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Mathieu Lewin: A many-body RAGE theorem

Abstract: The RAGE theorem is a famous result of Ruelle, Amrein, Georgescu and Enss about the long time dynamics of the Schrödinger equation. In this talk I will describe a new RAGE theorem for N-body quantum systems, proved in collaboration with Jonas Lampart (Paris-Dauphine). The result says that only bound states of systems with 0 ≤ n ≤ N particles persist in the long time average. The limit is formulated by means of an appropriate weak topology for many-body systems.