Trace formula for an ensemble of bumpy billiards.
chao-dyn
2009-10-28 v1 Condensed Matter
Chaotic Dynamics
Abstract
We study the semiclassical quantization of an ensemble of billiards with a small random shape deformation. We derive a trace formula averaged over shape disorder. The results are illustrated by the study of supershells in rough metal clusters.
Cite
@article{arxiv.chao-dyn/9505009,
title = {Trace formula for an ensemble of bumpy billiards.},
author = {Nicolas Pavloff},
journal= {arXiv preprint arXiv:chao-dyn/9505009},
year = {2009}
}
Comments
12 pages, latex, 3 figures available by fax upon request.