Comment on "Ehrenfest times for classically chaotic systems"
Chaotic Dynamics
2009-11-07 v1 Quantum Physics
Abstract
In a recent Phys. Rev. E Rapid Communication, the authors, Silvestrov and Beenakker, introduce a way to lengthen the Ehrenfest time, , for fully chaotic systems. We disagree with several statements made in their paper, and address the following points essential to their conclusions: 1) it is not true that all semiclassical approximations for chaotic systems fail at a so-called `logtime', , differing only by a numerical coefficient; and 2) the limitation of the semiclassical approximation as expressed in the authors' Eq. (8) is not limited by their argument leading to Eq. (12).
Cite
@article{arxiv.nlin/0205065,
title = {Comment on "Ehrenfest times for classically chaotic systems"},
author = {Steven Tomsovic and Eric J. Heller},
journal= {arXiv preprint arXiv:nlin/0205065},
year = {2009}
}
Comments
Submitted to Phys. Rev. E