Quantum eigenvalues from classical periodic orbits
- 28 October 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 67 (18), 2410-2413
- https://doi.org/10.1103/physrevlett.67.2410
Abstract
We combine the cycle-expansion method with a functional equation to obtain highly excited semiclassical energy eigenvalues for chaotic Hamiltonian systems. Applications to the anisotropic Kepler problem and to a bounded billiard demonstrate the power of the method. The agreement with quantum results is surprisingly good even for highly excited states.Keywords
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