A classification of classical billiard trajectories
classification
⚛️ physics.class-ph
keywords
trajectoriesclassicalorbitsparticlepossiblebilliardclassificationequation
read the original 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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