Localization in one dimensional random media: A scattering theoretic approach

Robert Sims, Günter Stolz

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We use scattering theoretic methods to prove exponential localization for random displacement models in one dimension. The operators we consider model both quantum and classical wave propagation. Our main tools are the reflection and transmission coefficients for compactly supported single site perturbations. We show that randomly displaced, non-reflectionless single sites lead to localization.

Original languageEnglish (US)
Pages (from-to)575-597
Number of pages23
JournalCommunications in Mathematical Physics
Volume213
Issue number3
DOIs
StatePublished - Oct 2000
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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