Quantum mean field asymptotics and multiscale analysis

Abstract

We study, via multiscale analysis, some defect of compactness phenomena which occur in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of mean-field asymptotics and second microlocalized semiclassical measures. The phase space geometric description is illustrated by various examples.

References in corpus (1)

• Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states

Cited by in corpus (3)

• Magnetic Schrödinger Operators as the Quasi-Classical Limit of Pauli-Fierz-type Models
• Quasi-Classical Dynamics
• Classical Limits of Unbounded Quantities by Strict Quantization