Seminari del Dipartimento di Matematica

Seminario del 2021

Lorenzo Zanelli (Dipartimento di Matematica, Universita` di Padova)

Phase space Analysis of Wick operators on Bargmann space with applications to discrete NLS

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

analisi matematica

We show a link between weighted Hilbert-Schmidt norms of Wick operators on Bargmann space and $L^2$-norm of Wick symbols with respect to a class of measures on the complex phase space. As an application, we derive the flow of discrete NLS equations by the mean field asymptotics of a many body quantum model for $N$ interacting particles as $N$ becomes large.