Quantization of a billiard model for interacting particles
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We consider a billiard model of a self-bound, interacting three-body system in two spatial dimensions. Numerical studies show that the classical dynamics is chaotic. The corresponding quantum system displays spectral fluctuations that exhibit small deviations from random matrix theory predictions. These can be understood in terms of scarring caused by a 1-parameter family of orbits inside the collinear manifold.
Cite
@article{arxiv.chao-dyn/9905008,
title = {Quantization of a billiard model for interacting particles},
author = {Thomas Papenbrock and Tomaz Prosen},
journal= {arXiv preprint arXiv:chao-dyn/9905008},
year = {2009}
}
Comments
4 pages, 5 EPS-figures, uses psfig.sty, epsf.sty