Semiclassical resolvent bounds for weakly decaying potentials

Jeffrey Galkowski, Jacob Shapiro

In this note, we prove weighted resolvent estimates for the semiclassical Schrödinger operator $-h^2\Delta +V(x):L^2({\mathbb{R}}^n)\to L^2({\mathbb{R}}^n)$, $n\ne 2$. The potential $…