"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 Main page |
Francis Nier: PI-condition and multiscale mean-field analysis Abstract: Within our series of works with Z. Ammari, we identified a compactness condition, called the (PI) condition, within the bosonic mean field analysis. I will first recall this condition and its consequences and how it is violated while considering a Bose gas at finite temperature, leading to a mixture of condensate and non condensate phases. Then I will explain how multiscale analysis provides a natural description of those two phases. Such a multiscale analysis relying mainly on Wick observables, also provides tools for the fermionic case. Work in progress with Z. Ammari and S. Breteaux |
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