Mean field limit for bosons and infinite dimensional phase-space analysis

2007/11/26 by Zied, Ammari, Francis, Nier · 3 citations
#35Q55 #81S05 #81S30 #81T10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0711.4128

Abstract

This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they can be used to make connections between different kinds of results or to prove new ones.

Cited by

• Semiclassical limit of entropies and free energies
• Semiclassical limit of polaron dynamics with cutoff
• Wigner measure approach to the derivation of the Landau-Pekar equations in the mean-field limit

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