Open Access
2019 Quantum mean-field asymptotics and multiscale analysis
Zied Ammari, Sébastien Breteaux, Francis Nier
Tunisian J. Math. 1(2): 221-272 (2019). DOI: 10.2140/tunis.2019.1.221

Abstract

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.

Citation

Download Citation

Zied Ammari. Sébastien Breteaux. Francis Nier. "Quantum mean-field asymptotics and multiscale analysis." Tunisian J. Math. 1 (2) 221 - 272, 2019. https://doi.org/10.2140/tunis.2019.1.221

Information

Received: 16 October 2017; Accepted: 27 February 2018; Published: 2019
First available in Project Euclid: 3 December 2018

zbMATH: 07027476
MathSciNet: MR3907740
Digital Object Identifier: 10.2140/tunis.2019.1.221

Subjects:
Primary: 81Q20 , 81S05 , 81S30 , 81V70

Keywords: microlocal analysis , multiscale measures , reduced density matrices , second quantization , semiclassical measures

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.1 • No. 2 • 2019
MSP
Back to Top