Development of universal distributions of quantum chaotic spectra

Yuri Dabaghian, Department of Physics, University of California, San Francisco

The explicit solution of the spectral problem recently obtained for the quasi one dimensional quantum chaotic models suggests that the quantum spectra of classically nonintegrable systems may differ between themselves accoriding to the level their complexity. This complexity structure of the spectral sequences is also manifested in the periodic orbit theory description of the universal probability distributions of spectral statistics.