Periodic Orbit Theory of Diffraction
chao-dyn
2016-08-14 v2 Condensed Matter
Chaotic Dynamics
Abstract
An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic orbits which have arcs on the surface of singularity and which correspond to creping waves. A new family of resonances in the two disk scattering system can be well described which is completely missing if only the traditional periodic orbits are used.
Keywords
Cite
@article{arxiv.chao-dyn/9401007,
title = {Periodic Orbit Theory of Diffraction},
author = {Gábor Vattay and Andreas Wirzba and Per E. Rosenqvist},
journal= {arXiv preprint arXiv:chao-dyn/9401007},
year = {2016}
}
Comments
4 pages, latex/REVTEX, 2 PS figures