Comment on "Ehrenfest times for classically chaotic systems"

Steven Tomsovic, Eric J. Heller
2003 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
In a recent Phys. Rev. E Rapid Communication, the authors, Silvestrov and Beenakker, introduce a way to lengthen the Ehrenfest time, τ, 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', τ∝ - (ħ), differing only by a numerical coefficient; and 2) the limitation of the semiclassical
more » ... n as expressed in the authors' Eq. (8) is not limited by their argument leading to Eq. (12).
doi:10.1103/physreve.68.038201 pmid:14524936 fatcat:cqbgvn442ncdzkg47o6re55yzi