Spectral Statistics: From Disordered to Chaotic Systems
- 11 December 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (24) , 4389-4392
- https://doi.org/10.1103/physrevlett.75.4389
Abstract
The relation between disordered and chaotic systems is investigated. It is obtained by identifying the diffusion operator of the disordered systems with the Perron-Frobenius operator in the general case. This association enables us to extend results obtained in the diffusive regime to general chaotic systems. In particular, the two-point level density correlator and the structure factor for general chaotic systems are calculated and characterized. The behavior of the structure factor around the Heisenberg time is quantitatively described in terms of short periodic orbits.All Related Versions
This publication has 13 references indexed in Scilit:
- Spectral Statistics beyond Random Matrix TheoryPhysical Review Letters, 1995
- Spectral Statistics of Mesoscopic Wires: Crossover from Wigner-Dyson to Poisson RegimePhysical Review Letters, 1995
- Random matrix theory in semiclassical quantum mechanics of chaotic systemsJournal of Physics A: General Physics, 1988
- Semiclassical theory of spectral rigidityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1985
- Periodic orbits and a correlation function for the semiclassical density of statesJournal of Physics A: General Physics, 1984
- Supersymmetry and theory of disordered metalsAdvances in Physics, 1983
- Periodic Orbits and Classical Quantization ConditionsJournal of Mathematical Physics, 1971
- Energy Spectrum According to Classical MechanicsJournal of Mathematical Physics, 1970
- Phase-Integral Approximation in Momentum Space and the Bound States of an Atom. IIJournal of Mathematical Physics, 1969
- Phase-Integral Approximation in Momentum Space and the Bound States of an AtomJournal of Mathematical Physics, 1967