Semiclassical Treatment of Diffraction in Billiard Systems with a Flux Line
chao-dyn
2010-03-09 v1 Chaotic Dynamics
Abstract
In billiard systems with a flux line semiclassical approximations for the density of states contain contributions from periodic orbits as well as from diffractive orbits that are scattered on the flux line. We derive a semiclassical approximation for diffractive orbits that are scattered once on a flux line. This approximation is uniformly valid for all scattering angles. The diffractive contributions are necessary in order that semiclassical approximations are continuous if the position of the flux line is changed.
Cite
@article{arxiv.chao-dyn/9904006,
title = {Semiclassical Treatment of Diffraction in Billiard Systems with a Flux Line},
author = {Martin Sieber},
journal= {arXiv preprint arXiv:chao-dyn/9904006},
year = {2010}
}
Comments
LaTeX, 17 pages, 4 figures