# 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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In this paper, we aim to characterize the cylindrical Wigner measures associated to regular quantum states in the Weyl C*-algebra of canonical commutation relations. In particular, we provide…

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This paper extends the tools of C*-algebraic strict quantization toward analyzing the classical limits of unbounded quantities in quantum theories. We introduce the approach first in the simple case…

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### Cylindrical Wigner Measures

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In this paper we study the semiclassical behavior of quantum states acting on the C*-algebra of canonical commutation relations, from a general perspective. The aim is to provide a unified and…

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. In this note we aim to characterize the cylindrical Wigner mea- sures associated to regular quantum states in the Weyl C*-algebra of canonical commutation relations. In particular, we provide…

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We study the quasi-classical limit of the Pauli-Fierz model: the system is composed of finitely many non-relativistic charged particles interacting with a bosonic radiation field. We trace out the…

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In this paper we study the semiclassical behavior of quantum states acting on the C*-algebra of canonical commutation relations, from a general perspective. The aim is to provide a unified and…

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