Existence of the Stark-Wannier quantum resonances
Mathematical Physics
2015-06-18 v1 math.MP
Abstract
In this paper we prove the existence of the Stark-Wannier quantum resonances for one-dimensional Schrodinger operators with smooth periodic potential and small external homogeneous electric field. Such a result extends the existence result previously obtained in the case of periodic potentials with a finite number of open gaps.
Keywords
Cite
@article{arxiv.1312.6066,
title = {Existence of the Stark-Wannier quantum resonances},
author = {Andrea Sacchetti},
journal= {arXiv preprint arXiv:1312.6066},
year = {2015}
}
Comments
30 pages, 1 figure