Cantori and dynamical localization in the Bunimovich Stadium

Abstract

Classical and quantum properties of the Bunimovich stadium in the diffusive regime are reviewed. In particular, the quantum properties are directly investigated using an approximate quantum map. Different localized regimes are found, namely, perturbative, quasi-integrable (due to classical Cantori), dynamical and ergodic.Comment: RevTeX, 8 pages, to be published in Physica