Equidistribution of phase shifts in semiclassical potential scattering
Equidistribution of phase shifts in semiclassical potential scattering
Consider a semiclassical Hamiltonian $H := h^{2} Δ+ V - E$ where $Δ$ is the positive Laplacian on $\mathbb{R}^{d}$, $V \in C^{\infty}_{0}(\mathbb{R}^{d})$ and $E > 0$ is an energy level. We prove that under an appropriate dynamical hypothesis on the Hamilton flow corresponding to $H$, the eigenvalues of the scattering …