MERCREDI 23 SEPTEMBRE 2009
14 heures
Salle Séminaire 5
Centre de Physique Théorique
Marseille-Luminy

Daniel Ueltschi
Dept of Mathematics,
University of Warwick, United Kingdom

Title: The Critical Temperature of Dilute Bose Gases

Abstract: Predicted by Einstein in 1924, the Bose-Einstein condensation is a
striking phase transition that takes place in certain systems of quantum
bosonic particles. The dependence of the critical temperature on the
interparticle interactions has been a controversial issue in the physics
community. I will review the mathematical setting and the literature,
and I will describe a non-rigorous but hopefully exact way to compute
the lowest order correction to the change of the critical temperature
of dilute systems. The approach is based on "spatial random
permutations". (This is joint work with V. Betz.)