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.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- July 1999
- DOI:
- 10.1016/S0167-2789(98)00233-4
- arXiv:
- arXiv:cond-mat/9807300
- Bibcode:
- 1999PhyD..131..317B
- Keywords:
-
- QUANTUM BILLIARDS;
- LOCALIZATION;
- QUANTUM CHAOS;
- Condensed Matter
- E-Print:
- RevTeX, 8 pages, to be published in Physica D