On the asymptotic dynamics of 2-D magnetic quantum systems

Edgardo Stockmeyer, Pontificia Universidad Católica de Chile

Abstract

In this talk I will present results concerning the long time localisation in space (dynamical localisation) of certain two-dimensional magnetic quantum systems. The underlying Hamiltonian may have the form H=H₀+W, where H₀ is rotationally symmetric and has dense point spectrum and W is a perturbation that breaks the symmetry.

Joint work with Esteban Cárdenas, Dirk Hundertmark, and Semjon Wugalter.