Universality in quantum chaotic spectra
Simons B. D. , Szafer A. , Altshuler B. L.
The response of the energy levels of a quantum chaotic system to an arbitrary external perturbation has been studied. The statistical properties of the energy dispersion were found to depend only on the mean-level spacing and on the generalized conductance. A new rescaling has been introduced, after which the statistical correlations of the energy levels become universal. Evidence is provided from both analytical and numerical calculations.