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Singular continuous spectra in a pseudo-integrable billiard

Jan Wiersig
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Abstract

The pseudo-integrable barrier billiard invented by Hannay and McCraw [J. Phys. A 23, 887 (1990)] -- rectangular billiard with line-segment barrier placed on a symmetry axis -- is generalized. It is proven that the flow on invariant surfaces of genus two exhibits a singular continuous spectral component.

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Jan Wiersig. 2000-03-13. Singular continuous spectra in a pseudo-integrable billiard. https://doi.org/10.1103/physreve.62.r21

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