Localization in one dimensional random media: A scattering theoretic approach

Academic Article


  • 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.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Sims R; Stolz G
  • Start Page

  • 575
  • End Page

  • 597
  • Volume

  • 213
  • Issue

  • 3