Spectral properties of quantized barrier billiards

Abstract

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.

8 pages, 9 figures

References in corpus (3)

• Hexagonal microlasers based on organic dyes in nanoporous crystals
• Periodic orbits contribution to the 2-point correlation form factor for pseudo-integrable systems
• A pseudointegrable Andreev billiard

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