Semiclassical quantization with short periodic orbits
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We apply a recently developed semiclassical theory of short peridic orbits to the stadium billiard. We give explicit expresions for the resonances of periodic orbits and for the application of the semiclassical Hamiltonian operator to them. Then, by using the 3 shortest periodic orbits and 2 more living in the bouncing ball region, we obtain the first 25 odd-odd eigenfunctions with surprising accuracy.
Keywords
Cite
@article{arxiv.chao-dyn/9904039,
title = {Semiclassical quantization with short periodic orbits},
author = {Eduardo G. Vergini and Gabriel Carlo},
journal= {arXiv preprint arXiv:chao-dyn/9904039},
year = {2009}
}
Comments
4 pages, 3 ps figures, 3 extra ps figures available on request to the authors