Quantization of the three dimensional Sinai billiard

Preprint

1 February 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9501025

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.

Keywords

STATISTICAL ANALYSIS
DIMENSIONAL SINAI
CHAOTIC BILLIARD
SINAI BILLIARD
QUANTIZATION
EIGENVALUES

All Related Versions

Version 1, 1995-02-01, ArXiv
Published version: Physical Review Letters, 74 (24), 4831.

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