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The triangle map: a model of quantum chaos

Giulio Casati·Tomaz Prosen
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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.

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Giulio Casati, Tomaz Prosen. 2000-09-15. The triangle map: a model of quantum chaos. https://doi.org/10.1103/physrevlett.85.4261

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