Mean dynamical entropy of quantum system tends to infinity in the semiclassical limit
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
We show that the mean dynamical entropy of a quantum map on the sphere is positive and tends logarithmically to infinity in the semiclassical limit. A link between chaotic dynamics of classical systems and the random matrix-like properties of spectra of the corresponding quantum analogues is demonstrated.
Cite
@article{arxiv.chao-dyn/9707008,
title = {Mean dynamical entropy of quantum system tends to infinity in the semiclassical limit},
author = {Wojciech Slomczynski and Karol Zyczkowski},
journal= {arXiv preprint arXiv:chao-dyn/9707008},
year = {2009}
}
Comments
12 Latex pages including 2 figures in .ps files