English

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, τ\tau, 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', τln()\tau \propto - \ln (\hbar), 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

R2 v1 2026-07-22T18:09:36.709Z