Triangle map: A model of quantum chaos

Citation
G. Casati et T. Prosen, Triangle map: A model of quantum chaos, PHYS REV L, 85(20), 2000, pp. 4261-4264
Citations number
15
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
85
Issue
20
Year of publication
2000
Pages
4261 - 4264
Database
ISI
SICI code
0031-9007(20001113)85:20<4261:TMAMOQ>2.0.ZU;2-3
Abstract
We study an area preserving parabolic map which emerges from the Poincare m ap of a billiard particle inside an elongated triangle. We provide numerica l evidence that the motion is ergodic and mixing. Moreover, when considered on the cylinder, the motion appears to follow a Gaussian diffusive process .