A classification of classical billiard trajectories

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.

12 pages, 4 figures

References in corpus (2)

• Infinite square well and periodic trajectories in classical mechanics
• Comparing classical and quantum probability distributions for an asymmetric infinite well