A Classification of Classical Billiard Trajectories

Authors

  • Bijan Bagchi Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India
  • Atreyee Sinha St. Xavier's College, 30 Park Street, Kolkata 700 016, India

DOI:

https://doi.org/10.26713/jims.v1i1.8

Keywords:

Hamilton Jacobi theory, Classical billiard

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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Citations

Issue

Vol. 1 No. 1 (2009)

Section

Research Article

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How to Cite

Bagchi, B., & Sinha, A. (2009). A Classification of Classical Billiard Trajectories. Journal of Informatics and Mathematical Sciences, 1(1), 43-53. https://doi.org/10.26713/jims.v1i1.8