Journal article
Comment on "Ehrenfest times for classically chaotic systems"
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol.68(3), pp.2-038201; author reply 038202
05/29/2002
Handle:
https://hdl.handle.net/2376/110067
PMID: 14524936
Abstract
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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Details
- Title
- Comment on "Ehrenfest times for classically chaotic systems"
- Creators
- Steven TomsovicEric J Heller
- Publication Details
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol.68(3), pp.2-038201; author reply 038202
- Academic Unit
- Physics and Astronomy, Department of
- Identifiers
- 99900547763401842
- Language
- English
- Resource Type
- Journal article