Onset of Chaos in an Isolated Energy Eigenstate
- 29 October 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 53 (18) , 1714-1717
- https://doi.org/10.1103/physrevlett.53.1714
Abstract
Quantum chaos of a single wave function is defined in terms of a path correlation function, and used to show how chaos sets in, in the particle-in-a-stadium problem. The criterion is shown to be equivalent to the requirement of a random distribution of the wave-function values.Keywords
This publication has 9 references indexed in Scilit:
- Quantum stochasticity and unimolecular decayThe Journal of Chemical Physics, 1982
- A quantum analog to the classical quasiperiodic motionThe Journal of Chemical Physics, 1982
- Statistical wavefunction method for highly excited vibrational states of polyatomic moleculesChemical Physics Letters, 1982
- The influence of quantization on the onset of chaos in Hamiltonian systems: The Kolmogorov entropy interpretationThe Journal of Chemical Physics, 1981
- Properties of vibrational energy levels in the quasi periodic and stochastic regimesThe Journal of Chemical Physics, 1980
- On the connection between quantization of nonintegrable systems and statistical theory of spectraLettere al Nuovo Cimento (1971-1985), 1980
- On the quantum mechanical implications of classical ergodicityThe Journal of Chemical Physics, 1979
- Spectrum and Eigenfunctions for a Hamiltonian with Stochastic TrajectoriesPhysical Review Letters, 1979
- Level clustering in the regular spectrumProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1977