Quantization of the Three-Dimensional Sinai Billiard

Abstract

For the first time a three-dimensional (3D) chaotic billiard---the 3D Sinai billiard---was quantized, and high-precision spectra with thousands of eigenvalues were calculated. We present here a semiclassical and statistical analysis of the spectra, and point out some of the features which are genuine consequences of the three dimensionality of this chaotic billiard.