Spectral properties of quantized barrier billiards.
The properties of energy levels in a family of classically pseudointegrable systems, the barrier billiards, are investigated. An extensive numerical study of nearest-neighbor spacing distributions, next-to-nearest spacing distributions, number variances, spectral form factors, and the level dynamics is carried out. For a special member of the billiard family, the form factor is calculated analytically for small arguments in the diagonal approximation. All results together are consistent with the so-called semi-Poisson statistics.
Wiersig
Jan
J
Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany. jwiersig@mpipks-dresden.mpg.de