EVENT DETAILS AND ABSTRACT

Title: Quantum chaos and random waves
Speaker: Steve Zelditch
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

Eigenfunctions of the Laplacian on a compact Riemannian manifold are models of energy eigenstates in quantum mechanics. In the high eigenvalue limit, they reflect properties of the geodesic flow. We will illustrate this in the simplest model geometries: sphere, torus, and hyperbolic surface and explain that eigenfunctions in the hyperbolic case behave like random spherical harmonics in the sphere case.