English

Quantization of the three dimensional Sinai billiard

chao-dyn 2009-10-28 v1 Chaotic Dynamics

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.

Cite

@article{arxiv.chao-dyn/9501025,
  title  = {Quantization of the three dimensional Sinai billiard},
  author = {Harel Primack and Uzy Smilansky},
  journal= {arXiv preprint arXiv:chao-dyn/9501025},
  year   = {2009}
}

Comments

14 pages, self-extracting uuencoded tar-compressed postscript file

R2 v1 2026-07-22T09:54:54.805Z