Statistics of Oscillator Strengths in Chaotic Systems
Abstract
The statistical description of oscillator strengths for systems like hydrogen in a magnetic field is developed by using the supermatrix nonlinear $\sigma$-model. The correlator of oscillator strengths is found to have a universal parametric and frequency dependence, and its analytical expression is given. This universal expression applies to quantum chaotic systems with the same generality as Wigner-Dyson statistics.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- March 1995
- DOI:
- 10.1209/0295-5075/29/7/001
- arXiv:
- arXiv:cond-mat/9405052
- Bibcode:
- 1995EL.....29..515T
- Keywords:
-
- Condensed Matter
- E-Print:
- 11 pages, REVTeX3+epsf, two EPS figures. Replaced by the published version. Minor changes.