A classification of classical billiard trajectories

Bijan Bagchi; Atreyee Sinha

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arXiv · 0907.4892

A classification of classical billiard trajectories

Bijan Bagchi·Atreyee Sinha

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Abstract

We examine the possible trajectories of a classical particle, trapped in a two-dimensional infinite rectangular well, using the Hamilton-Jacobi equation. We observe that three types of trajectories are possible: periodic orbits, open orbits and some special trajectories when the particle gets pocketed.

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Bijan Bagchi, Atreyee Sinha. 2009-08-22. A classification of classical billiard trajectories. https://arxiv.org/abs/0907.4892

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