On the duality between periodic orbit statistics and quantum level statistics
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
We discuss consequences of a recent observation that the sequence of periodic orbits in a chaotic billiard behaves like a poissonian stochastic process on small scales. This enables the semiclassical form factor to agree with predictions of random matrix theories for other than infinitesimal in the semiclassical limit.
Cite
@article{arxiv.chao-dyn/9501023,
title = {On the duality between periodic orbit statistics and quantum level statistics},
author = {Per Dahlqvist},
journal= {arXiv preprint arXiv:chao-dyn/9501023},
year = {2009}
}
Comments
8 pages LaTeX