The triangle map: a model of quantum chaos
arXiv:nlin/0009030 · doi:10.1103/PhysRevLett.85.4261
Abstract
We study an area preserving parabolic map which emerges from the Poincar\' e map of a billiard particle inside an elongated triangle. We provide numerical evidence that the motion is ergodic and mixing. Moreover, when considered on the cylinder, the motion appear to follow a gaussian diffusive process.
4 pages in RevTeX with 4 figures (in 6 eps-files)