Classical invariants and the quantization of chaotic systems
Chaotic Dynamics
2009-11-10 v1 Quantum Physics
Abstract
Long periodic orbits constitute a serious drawback in Gutzwiller's theory of chaotic systems, and then it would be desirable that other classical invariants, not suffering from the same problem, could be used in the quantization of such systems. In this respect, we demonstrate how a suitable dynamical analysis of chaotic quantum spectra unveils the fundamental role played by classical invariant areas related to the stable and unstable manifolds of short periodic orbits.
Cite
@article{arxiv.nlin/0311052,
title = {Classical invariants and the quantization of chaotic systems},
author = {D. A. Wisniacki and E. Vergini and R. M. Benito and F. Borondo},
journal= {arXiv preprint arXiv:nlin/0311052},
year = {2009}
}
Comments
4 pages, 3 postscript figures