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

Zied Ammari (1) , Francis Nier (2)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation
2 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Mots clés: Mean field limit; bosonic QFT; Wigner measure; Hartree equation.; Hartree equation

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Zied Ammari, Francis Nier. Mean field limit for bosons and infinite dimensional phase-space analysis. Annales Henri Poincaré, 2008, Volume 9 (Number 8), pp.1503-1574. ⟨10.1007/s00023-008-0393-5⟩. ⟨hal-00192156⟩