Abstract:
In a joint work with Z. Ammari, and F. Nier, we study how multiscale analysis and quantum mean field asymptotics can be brought together. In particular we study when a sequence of one-particle density matrices has a limit with two components: one classical and one quantum. The
introduction of “separating quantization for a family” provides a simple criterion to check when those two types of limit are well separated. We also give examples of explicit computations of such
limits, and how to check that the separating assumption is satisfied.
In this talk we will introduce some of the tools to deal with this problem and give an idea about the type of results we are interested in.