Statistics of quasi-energy separations in chaotic systems
- 15 May 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 31 (10) , 6852-6855
- https://doi.org/10.1103/physrevb.31.6852
Abstract
The distribution of the quasi-energy separations for the periodically kicked quantum rotor is calculated. This distribution is different from that associated with chaotic systems whose wave functions are extended throughout the system. Rather it agrees with the statistics expected for random band-diagonal Hamiltonians, which describe quantum motion in a disordered medium, where the wave functions are localized. Novel statistical measures based on this localization are devised and applied.Keywords
This publication has 16 references indexed in Scilit:
- Uncovering the Transition from Regularity to Irregularity in a Quantum SystemPhysical Review Letters, 1984
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation LawsPhysical Review Letters, 1984
- Distribution of Energy Eigenvalues in the Irregular SpectrumPhysical Review Letters, 1983
- Stochasticity in quantum systemsPhysics Reports, 1981
- Random-matrix physics: spectrum and strength fluctuationsReviews of Modern Physics, 1981
- The local structure of the spectrum of the one-dimensional Schrödinger operatorCommunications in Mathematical Physics, 1981
- Quantizing a classically ergodic system: Sinai's billiard and the KKR methodAnnals of Physics, 1981
- On the connection between quantization of nonintegrable systems and statistical theory of spectraLettere al Nuovo Cimento (1971-1985), 1980
- 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