Characterization of chaotic quantum spectra and universality of level fluctuation laws

Bohigas, O.; Giannoni, M.J.; Schmit, C.

doi:10.1103/PhysRevLett.52.1

Characterization of chaotic quantum spectra and universality of level fluctuation laws

Aug, 1983

4 pages

Published in:

Phys.Rev.Lett. 52 (1984) 1-4

DOI:

10.1103/PhysRevLett.52.1

View in:

reference search1,087 citations

Citations per year

Abstract: (APS)

It is found that the level fluctuations of the quantum Sinai's billiard are consistent with the predictions of the Gaussian orthogonal ensemble of random matrices. This reinforces the belief that level fluctuation laws are universal.

References(8)

Figures(0)

Random matrix physics: Spectrum and strength fluctuations

et al.

- Rev.Mod.Phys. 53 (1981) 385-479
•
DOI:
- 10.1103/RevModPhys.53.385

- Phys.Rev.Lett. 53 385

Fluctuation Properties of Nuclear Energy Levels: Do Theory and Experiment Agree?

- Phys.Rev.Lett. 48 (1982) 16, 1086
•
DOI:
- 10.1103/PhysRevLett.48.1086

- Phys.Rev.Lett. 50 492

- Proc.Roy.Soc.Lond.A 356 375

Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories

Steven W. McDonald
(
- UC, Berkeley
)
,
Allan N. Kaufman
(
- UC, Berkeley
)

- Phys.Rev.Lett. 42 (1979) 1189-1191
•
DOI:
- 10.1103/PhysRevLett.42.1189

On the connection between quantization of nonintegrable systems and statistical theory of spectra

- Lett.Nuovo Cim. 28 (1980) 8, 279-282
•
DOI:
- 10.1007/BF02798790

Quantizing a classically ergodic system: Sinai's billiard and the KKR method

M.V. Berry

- Annals Phys. 131 (1981) 163-216
•
DOI:
- 10.1016/0003-4916(81)90189-5