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arXiv · 1701.06423

Quantum mean field asymptotics and multiscale analysis

Zied Ammari·Sébastien Breteaux·Francis Nier
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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.

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Zied Ammari, Sébastien Breteaux, Francis Nier. 2017-01-23. Quantum mean field asymptotics and multiscale analysis. https://doi.org/10.2140/tunis.2019.1.221

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