Quantum mean field asymptotics and multiscale analysis
classification
🧮 math-ph
math.MP
keywords
analysisasymptoticsmean-fieldmultiscalequantumapproachbosoniccombination
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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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