The triangle map: a model of quantum chaos

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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

Scientific paper

10.1103/PhysRevLett.85.4261

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.

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