Speaker
Prof.
Benjamin Schlein
(Univ. Zurich)
Description
We prove that Gibbs measures of nonlinear Schroedinger equations of Hartree-type arise as
high-temperature limit of
appropriately modified thermal states in many-body quantum mechanics. In dimensions d=2,3 these Gibbs
measures are supported
on singular distributions and Wick ordering of the interaction is necessary. Our proof is based on a
perturbative expansion in the
interaction, organised in a diagrammatic representation, and on Borel resummation of the resulting series.
This is a joint work
with J. Froehlich, A. Knowles and V. Sohinger.
