Z. Ammari, F. Nier
Mean field limit for bosons and infinite dimensional phase-space analysis
(543K, pdf)

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.