Equidistribution of phase shifts in semiclassical potential scattering

Jesse Gell-Redman, Andrew Hassell, Steve Zelditch

Consider a semiclassical Hamiltonian $H:=h^2\Delta +V-E$ where $\Delta$ is the positive Laplacian on ${\mathbb{R}}^d$, $V\in C_0^{\infty }({\mathbb{R}}^d)$ and $E>0$ is an energy…