Spectral properties of quantized barrier billiards

Wiersig, J.

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Spectral properties of quantized barrier billiards

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Wiersig, J.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Wiersig, J. (2002). Spectral properties of quantized barrier billiards. Physical Review E, 65(4): 046217. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000065000004046217000001&idtype=cvips&gifs=yes&jsessionid=2624351055934782420.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-37D2-8

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.