Spectral properties of quantized barrier billiards

Details Spectral properties of quantized barrier billiards Spectral properties of quantized barrier billiards

2001-11-13

arxiv.org/abs/nlin/0111029v2

Nonlinear Sciences

Chaotic Dynamics

8 pages, 9 figures

Scientific paper

10.1103/PhysRevE.65.046217

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.

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