LEVEL STATISTICS OF DOUBLET SPECTRUM OF SINAIS BILLIARD

The significance of multiplicity of an energy spectrum for the level statistics of a quantum system is considered whose associated classical system exhibits deterministic chaos. The doublet spectrum of the Sinai's billiard on a torus is calculated via the Korringa-Kohn-Rostoker method in order to study its level fluctuation properties. It is found that the level spacing distribution is in full agreement with the prediction of random matrix theory, indicating that the level statistics is independent of the multiplicity of spectrum.