Periodic-orbit quantization of chaotic systems

Predrag Cvitanović and Bruno Eckhardt
Phys. Rev. Lett. 63, 823 – Published 21 August 1989
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Abstract

We demonstrate the utility of the periodic-orbit description of chaotic motion by computing from a few periodic orbits highly accurate estimates of a large number of quantum resonances for the classically chaotic 3-disk scattering problem. The symmetry decompositions of the eigenspectra are the same for the classical and the quantum problem, and good agreement between the periodic-orbit estimates and the exact quantum poles is observed.

  • Received 27 February 1989

DOI:https://doi.org/10.1103/PhysRevLett.63.823

©1989 American Physical Society

Authors & Affiliations

Predrag Cvitanović

  • Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen O/, Denmark

Bruno Eckhardt

  • Fachbereich Physik der Philipps-Universität, Renthof 6, D-3550 Marburg, West Germany
  • Institute for Theoretical Physics, University of California at Santa Barbara, Santa Barbara, California 93106

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Vol. 63, Iss. 8 — 21 August 1989

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