Victor Arnaiz Solorzano (Université de Bordeaux)
Biography
TITLE: Stability and diffusion of Schrödinger solutions in quantum KAM systems
ABSTRACT: In this talk I will focus on the high-energy concentration and dispersion properties of solutions of the linear Schrödinger equation in quantum KAM (Kolmogorov-Arnold-Moser) Hamiltonian systems. We will look at some spectral stability results and show examples in which the concentration of solutions around invariant tori and the energy diffusion in unstable regions of phase space can coexist.
This talk is partially based on work in progress with Nicolas Camps (Nantes) and Chenmin Sun (CNRS).
