English

The triangle map: a model of quantum chaos

Chaotic Dynamics 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.nlin/0009030,
  title  = {The triangle map: a model of quantum chaos},
  author = {Giulio Casati and Tomaz Prosen},
  journal= {arXiv preprint arXiv:nlin/0009030},
  year   = {2009}
}

Comments

4 pages in RevTeX with 4 figures (in 6 eps-files)

R2 v1 2026-07-22T18:07:19.648Z