The twilight zone in the over-barrier scattering: Between perturbation theory and quasiclassics

N. M. Makarov, K. Yu Bliokh, V. D. Freilikher

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We discuss the applicability of Born (small perturbation) and WKB (quasiclassical) approximations for one-dimensional over-barrier scattering problem with weak long-range potentials of different profiles, both deterministic and random. The dependence of the reflection coefficient R and the localization length lloc on the amplitude and variation scale of the scattering potential is studied. It is shown that the perturbation and quasiclassical approaches are inconsistent with each other. The quantities R and lloc are quite individual for each given potential and an explicit universal condition restricting the applicability of both methods does not exist.

Original languageEnglish
Title of host publicationPIERS 2005 - Progress in Electromagnetics Research Symposium, Proceedings
PublisherElectromagnetics Academy
Pages487-491
Number of pages5
ISBN (Print)1933077077, 9781933077079
DOIs
StatePublished - 2005
EventProgress in Electromagnetics Research Symposium, PIERS 2005 - Hangzhou, China
Duration: 22 Aug 200526 Aug 2005

Publication series

NamePIERS 2005 - Progress in Electromagnetics Research Symposium, Proceedings

Conference

ConferenceProgress in Electromagnetics Research Symposium, PIERS 2005
Country/TerritoryChina
CityHangzhou
Period22/08/0526/08/05

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