Spectral properties of dynamical localization for Schr\"odinger operators
Mathematical Physics
2012-05-01 v1 math.MP
Spectral Theory
Abstract
We investigate the equivalence between dynamical localization and localization properties of eigenfunctions of Schr\"odinger Hamiltonians. We introduce three classes of equivalent properties and study the relationships between them. These relationships are shown to be optimal thanks to counter examples.
Keywords
Cite
@article{arxiv.1204.6648,
title = {Spectral properties of dynamical localization for Schr\"odinger operators},
author = {François Germinet and Amal Taarabt},
journal= {arXiv preprint arXiv:1204.6648},
year = {2012}
}