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Abstract
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We study, via multiscale analysis, a defect-of-compactness phenomenon which occurs
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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Keywords
semiclassical measures, multiscale measures, reduced
density matrices, second quantization, microlocal analysis
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Mathematical Subject Classification 2010
Primary: 81S30, 81Q20, 81V70, 81S05
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Milestones
Received: 16 October 2017
Accepted: 27 February 2018
Published: 14 May 2018
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