Quantization of the three dimensional Sinai billiard

Harel Primack; Uzy Smilansky

doi:10.1103/physrevlett.74.4831

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arXiv · chao-dyn/9501025

Quantization of the three dimensional Sinai billiard

Harel Primack·Uzy Smilansky

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Abstract

For the first time a three--dimensional (3D) chaotic billiard -- the 3D Sinai billiard -- was quantized, and high--precision spectra with thousands of eigenvalues were calculated. We present here a semiclassical and statistical analysis of the spectra, and point out some of the features which are genuine consequences of the three dimensionality of this chaotic billiard.

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Harel Primack, Uzy Smilansky. 1995-02-01. Quantization of the three dimensional Sinai billiard. https://doi.org/10.1103/physrevlett.74.4831

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