Quantum mean-field asymptotics and multiscale analysis

@article{Ammari2017QuantumMA,
  title={Quantum mean-field asymptotics and multiscale analysis},
  author={Zied Ammari and S{\'e}bastien Breteaux and Francis Nier},
  journal={Tunisian Journal of Mathematics},
  year={2017}
}
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. 

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