Long-time semiclassical dynamics of chaos: The stadium billiard

Steven Tomsovic and Eric J. Heller
Phys. Rev. E 47, 282 – Published 1 January 1993
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Abstract

In a recent Letter [Phys. Rev. Lett. 67, 664 (1991)] we found semiclassical propagation to be remarkably accurate in the chaotic stadium billiard long after classical fine structure had developed on a scale much smaller than ħ. We give a complete account of that work and derive an approximate time scale for the validity of the semiclassical approximation as a function of ħ.

  • Received 6 July 1992

DOI:https://doi.org/10.1103/PhysRevE.47.282

©1993 American Physical Society

Authors & Affiliations

Steven Tomsovic and Eric J. Heller

  • Department of Physics and Department of Chemistry, BG-10, University of Washington, Seattle, Washington 98195

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Vol. 47, Iss. 1 — January 1993

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