Periodic-orbit quantization of chaotic systems
- 21 August 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 63 (8) , 823-826
- https://doi.org/10.1103/physrevlett.63.823
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.Keywords
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