We introduce a class of UV-regularized two-body interactions for fermions in Rd and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems. As a step toward this result, we also prove a propagation bound of Lieb-Robinson type for Schrödinger operators. We apply the propagation bound to prove the existence of infinite-volume dynamics as a strongly continuous group of automorphisms on the CAR algebra.
MSC Codes 82C10 (Primary) 82C21 (Secondary)
|Original language||English (US)|
|State||Published - Dec 28 2019|
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