Comment on "Ehrenfest times for classically chaotic systems"

Details Comment on "Ehrenfest times for classically chaotic systems" Comment on "Ehrenfest times for classically chaotic systems"

2002-05-29

arxiv.org/abs/nlin/0205065v1

Nonlinear Sciences

Chaotic Dynamics

Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.68.038201

In a recent Phys. Rev. E Rapid Communication, the authors, Silvestrov and Beenakker, introduce a way to lengthen the Ehrenfest time, $\tau$, 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', $\tau \propto - \ln (\hbar)$, 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).

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