Triangle map: A model of quantum chaos
We study an area preserving parabolic map which emerges from the Poincare 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 appears to follow a Gaussian diffusive process.
Casati
G
International Center for the Study of Dynamical Systems, Universita'degli Studi dell'Insubria, via Lucini, 3, I-22100 Como, Italy and and Istituto Nazionale di Fisica della Materia and INFN, Unita di Milano, Milano, Italy.
Prosen
T