Level statistics of a quantized cantori system
- 14 March 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (11) , 971-974
- https://doi.org/10.1103/physrevlett.60.971
Abstract
We study the significance of a pronounced Cantori structure in classical phase space for the level statistics of the associated quantum system. As an example we choose the anisotropic Kepler problem. For high excitations, we find that the level statistics tend to the predictions of random matrix theory, but the convergence is rather slow.Keywords
This publication has 14 references indexed in Scilit:
- A note on the level spacings distribution of the Hamiltonians in the transition region between integrability and chaosJournal of Physics A: General Physics, 1987
- Connection between long-range correlations in quantum spectra and classical periodic orbitsPhysical Review Letters, 1987
- Classical and quantum-mechanical transition between regularity and irregularity in a Hamiltonian systemPhysical Review A, 1987
- Rydberg atoms in uniform magnetic fields: Uncovering the transition from regularity to irregularity in a quantum systemPhysical Review Letters, 1986
- Quantum Chaos and Statistical Properties of Energy Levels: Numerical Study of the Hydrogen Atom in a Magnetic FieldPhysical Review Letters, 1986
- Regularity and Irregularity in Spectra of the Magnetized Hydrogen AtomPhysical Review Letters, 1986
- Semiclassical theory of spectral rigidityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1985
- Quantum Spectra and Transition from Regular to Chaotic Classical MotionPhysical Review Letters, 1984
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation LawsPhysical Review Letters, 1984
- Classical Quantization of a Hamiltonian with Ergodic BehaviorPhysical Review Letters, 1980