Application of the Trace Formula in Pseudointegrable Systems
Statistical Mechanics
2009-11-11 v1
Abstract
We apply periodic-orbit theory to calculate the integrated density of states from the periodic orbits of pseudointegrable polygon and barrier billiards. We show that the results agree so well with the results obtained from direct diagonalization of the Schr\"odinger equation, that about the first 100 eigenvalues can be obtained directly from the periodic-orbit calculations in good accuracy.
Cite
@article{arxiv.cond-mat/0603663,
title = {Application of the Trace Formula in Pseudointegrable Systems},
author = {Stefanie Russ and Jesper Mellenthin},
journal= {arXiv preprint arXiv:cond-mat/0603663},
year = {2009}
}
Comments
5 Pages, 4 Figures, submitted to Phys. Rev. E