Classical fluctuations and semiclassical matrix elements
Chaotic Dynamics
2009-10-31 v1 Mesoscale and Nanoscale Physics
Abstract
We discuss the fluctuation properties of diagonal matrix elements in the semiclassical limit in chaotic systems. For extended observables, covering a phase space area of many times Planck's constant, both classical and quantal distributions are Gaussian. If the observable is a projection onto a single state or an incoherent projection onto several states classical and quantal distribution differ, but the mean and the variance are still obtainable from classical considerations.
Cite
@article{arxiv.nlin/0008022,
title = {Classical fluctuations and semiclassical matrix elements},
author = {Bruno Eckhardt and Imre Varga and Peter Pollner},
journal= {arXiv preprint arXiv:nlin/0008022},
year = {2009}
}
Comments
12 pages, 6 figures