Unstable Periodic Orbits in the Stadium Billiard

Details Unstable Periodic Orbits in the Stadium Billiard Unstable Periodic Orbits in the Stadium Billiard

1992-07-09

arxiv.org/abs/cond-mat/9207010v1

Physics

Condensed Matter

17 pages, 6 Figures

Scientific paper

10.1103/PhysRevA.46.6334

A systematic numerical technique for the calculation of unstable periodic orbits in the stadium billiard is presented. All the periodic orbits up to order $p=11$ are calculated and then used to calculate the average Lyapunov exponent and the topological entropy. Applications to semiclassical quantization and to experiments in mesoscopic systems and microwave cavities are noted.

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