Project Details
Projekt
Many-body systems, interacting brownian motions, and functional integrals
Applicant
Professor Dr. Wolfgang König
Subject Area
Mathematics
Term
from 2006 to 2010
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 20967890
In this project we investigate the low-temperature behaviour of dilute quantum many-particle models. Our main interest is in understanding the dependence of the free energy density and correlation functions in the Gross-Pitaevskii limit, as well as generalisations of this limit which correspond to slightly larger densities. We consider both the canonical and the grand canonical ensemble. The former is studied via the interacting Brownian motion representation, using large deviations techniques, the latter via coherent-state functional integrals, using techniques from constructive quantum field theory. We also aim to investigate the connections between these two approaches.
DFG Programme
Research Units
Participating Persons
Dr. Stefan Adams; Professor Dr. Jürgen Gärtner; Professor Dr. Manfred Salmhofer
