From quantum disorder to quantum chaos
Mesoscale and Nanoscale Physics
2007-05-23 v1 Chaotic Dynamics
Abstract
We study the statistics of wave functions in a ballistic chaotic system. The statistical ensemble is generated by adding weak smooth random potential, which allows us to apply the ballistic -model approach. We analyze conditions of applicability of the -model, emphasizing the role played by the single-particle mean free path and the Lyapunov exponent due to the random potential. In particular, we present a resolution of the puzzle of repetitions of periodic orbits counted differently by the -model and by the trace formula.
Cite
@article{arxiv.cond-mat/0107552,
title = {From quantum disorder to quantum chaos},
author = {I. V. Gornyi and A. D. Mirlin},
journal= {arXiv preprint arXiv:cond-mat/0107552},
year = {2007}
}
Comments
15 pages, no figures. Contribution to a special issue of J. Low Temp. Phys. dedicated to Peter Woelfle's 60th birthday