Seminari del Dipartimento di Matematica

Seminario del 2015

Semiclassical analysis in infinite dimensions: Wigner measures

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

analisi matematica

In this talk, we review semiclassical analysis for systems whose phase space is of arbitrary (possibly infinite) dimension. An emphasis will be put on a general derivation of the so-called Wigner classical measures as the limit of states in a non-commutative algebra of quantum observables. In the remaining time, the related problem of quantization will be introduced; and we will follow the projective approach of Ammari and Nier.