English

On the spectrum of skew-shift Schr\"odinger operators

Spectral Theory 2010-09-07 v1

Abstract

I prove that the spectrum of a skew-shift Schr\"odinger operator contains larges interval in the semi-classical regime. In the semi-classical limit, these intervals approach the range of the potential.

Keywords

Cite

@article{arxiv.1009.0913,
  title  = {On the spectrum of skew-shift Schr\"odinger operators},
  author = {Helge Krüger},
  journal= {arXiv preprint arXiv:1009.0913},
  year   = {2010}
}