Fredholm methods for billiard eigenfunctions in the coherent state representation
Chaotic Dynamics
2009-10-31 v1
Abstract
We obtain a semiclassical expression for the projector onto eigenfunctions by means of the Fredholm theory. We express the projector in the coherent state basis, thus obtaining the semiclassical Husimi representation of the stadium eigenfunctions, which is written in terms of classical invariants: periodic points, their monodromy matrices and Maslov indices.
Cite
@article{arxiv.nlin/0003037,
title = {Fredholm methods for billiard eigenfunctions in the coherent state representation},
author = {Fernando P. Simonotti and Marcos Saraceno},
journal= {arXiv preprint arXiv:nlin/0003037},
year = {2009}
}
Comments
12 pages, 10 figures. Submitted to Phys. Rev. E. Comments or questions to simonotti@tandar.cnea.gov.ar