Quantization of chaos
- 7 October 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 67 (15) , 1941-1944
- https://doi.org/10.1103/physrevlett.67.1941
Abstract
We study a rule for quantizing chaos based on the dynamical zeta function defined by a Euler product over the classical periodic orbits as suggested by Gutzwiller’s semiclassical trace formula. A test of our approximate quantization formula is carried out for the planar hyperbold billiard, which shows that at least the first 150 quantum energy levels can be generated.Keywords
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