2024
DOI: 10.1103/physreve.110.024213
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Intermediate spectral statistics of rational triangular quantum billiards

Črt Lozej,
Eugene Bogomolny

Abstract: Triangular billiards whose angles are rational multiples of π are one of the simplest examples of pseudo-integrable models with intriguing classical and quantum properties. We perform an extensive numerical study of spectral statistics of eight quantized rational triangles, six belonging to the family of right-angled Veech triangles and two obtuse rational triangles. Large spectral samples of up to one million energy levels were calculated for each triangle, which permits one to determine their spectral statis… Show more

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