Statistics of Oscillator Strengths in Chaotic Systems

Details Statistics of Oscillator Strengths in Chaotic Systems Statistics of Oscillator Strengths in Chaotic Systems

1994-05-20

arxiv.org/abs/cond-mat/9405052v2

Europhys. Lett. 29, 515 (1995)

Physics

Condensed Matter

11 pages, REVTeX3+epsf, two EPS figures. Replaced by the published version. Minor changes.

Scientific paper

10.1209/0295-5075/29/7/001

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.

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