Advertisement

Communications in Mathematical Physics

, Volume 223, Issue 3, pp 509–532 | Cite as

Schrödinger Operators with Sparse Potentials: Asymptotics of the Fourier Transform¶of the Spectral Measure

  • Denis Krutikov
  • Christian Remling

Abstract:

We study the pointwise behavior of the Fourier transform of the spectral measure for discrete one-dimensional Schrödinger operators with sparse potentials. We find a resonance structure which admits a physical interpretation in terms of a simple quasiclassical model. We also present an improved version of known results on the spectrum of such operators.

Keywords

Fourier Fourier Transform Resonance Structure Physical Interpretation Spectral Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Denis Krutikov
    • 1
  • Christian Remling
    • 2
  1. 1.Universität Essen, Fachbereich Mathematik/Informatik, 45117 Essen, Germany.¶E-mail: denis.kroutikov@uni-essen.deDE
  2. 2.Universität Osnabrück, Fachbereich Mathematik/Informatik, 49069 Osnabrück, Germany.¶E-mail: cremling@mathematik.uni-osnabrueck.deDE

Personalised recommendations