Literature DB >> 14524936

Comment on "Ehrenfest times for classically chaotic systems".

Steven Tomsovic, Eric J Heller.   

Abstract

In a recent Rapid Communication [P. G. Silvestrov and C. W. J. Beenakker, Phys. Rev. E 65, 035208(R) (2002)], 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 "log time" tau proportional, variant -ln( variant Planck's over 2pi ), 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).

Year:  2003        PMID: 14524936     DOI: 10.1103/PhysRevE.68.038201

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  1 in total

1.  A semiclassical theory of phase-space dynamics of interacting bosons.

Authors:  R Mathew; E Tiesinga
Journal:  J Phys B At Mol Opt Phys       Date:  2019       Impact factor: 1.917

  1 in total

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