Nonperiodic Orbit Sums in Weyl's Expansion for Billiards
Quantum Physics
2008-12-18 v1
Abstract
Weyl's expansion for the asymptotic mode density of billiards consists of the area, length, curvature and corner terms. The area term has been associated with the so-called zero-length orbits. Here closed nonperiodic paths corresponding to the length and corner terms are constructed.
Cite
@article{arxiv.quant-ph/9906026,
title = {Nonperiodic Orbit Sums in Weyl's Expansion for Billiards},
author = {Wei-Mou Zheng},
journal= {arXiv preprint arXiv:quant-ph/9906026},
year = {2008}
}
Comments
8 pages, 2 figures