Joint Mathematics Department and CMSA Random Matrix and Probability Theory Seminar: Lieb-Robinson bounds for a class of continuum many-body fermion systems

We introduce a class of UV-regularized two-body interactions for fermions in $\R^d$ and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems. As a step towards this result, we
also prove a propagation bound of Lieb-Robinson type for continuum one-particle Schr\“odinger operators. We apply the propagation bound to prove the existence of a strongly continuous infinite-volume dynamics on the CAR algebra.

via Zoom Video Conferencing: https://harvard.zoom.us/j/147308224