Universality for free fermions and the local Weyl law for semiclassical Schrödinger operators

Alix Deleporte, Gaultier Lambert

We study local asymptotics for the spectral projector associated to a Schrödinger operator $-{\hslash }^2\Delta +V$ on ${\mathbb{R}}^n$ in the semiclassical limit as $\hslash \to 0$. We prove local…