Periodic orbit quantization of a Hamiltonian map on the sphere
Chaotic Dynamics
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
In a previous paper we introduced examples of Hamiltonian mappings with phase space structures resembling circle packings. It was shown that a vast number of periodic orbits can be found using special properties. We now use this information to explore the semiclassical quantization of one of these maps.
Cite
@article{arxiv.nlin/0102039,
title = {Periodic orbit quantization of a Hamiltonian map on the sphere},
author = {A. J. Scott and G. J. Milburn},
journal= {arXiv preprint arXiv:nlin/0102039},
year = {2007}
}
Comments
23 pages, REVTEX4