Quantum many-body fluctuations around nonlinear Schrödinger dynamics

Chiara Boccato, Serena Cenatiempo, Benjamin Schlein

We consider the many body quantum dynamics of systems of bosons interacting through a two-body potential $N^{3\beta -1}V(N^{\beta }x)$, scaling with the number of particles $N$. For $0< β< 1…