An uncertainty principle, Wegner estimates and localization near fluctuation boundaries
Mathematical Physics
2009-05-19 v1 math.MP
Abstract
We prove a simple uncertainty principle and show that it can be applied to prove Wegner estimates near fluctuation boundaries. This gives new classes of models for which localization at low energies can be proven.
Keywords
Cite
@article{arxiv.0905.2845,
title = {An uncertainty principle, Wegner estimates and localization near fluctuation boundaries},
author = {Anne Boutet de Monvel and Daniel Lenz and Peter Stollmann},
journal= {arXiv preprint arXiv:0905.2845},
year = {2009}
}