A weak Gordon type condition for absence of eigenvalues of one-dimensional Schr\"odinger operators
Spectral Theory
2016-06-28 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We study one-dimensional Schr\"odinger operators with complex measures as potentials and present an improved criterion for absence of eigenvalues which involves a weak local periodicity condition. The criterion leads to sharp quantitative bounds on the eigenvalues. We apply our result to quasiperiodic measures as potentials.
Keywords
Cite
@article{arxiv.1305.1843,
title = {A weak Gordon type condition for absence of eigenvalues of one-dimensional Schr\"odinger operators},
author = {Christian Seifert and Hendrik Vogt},
journal= {arXiv preprint arXiv:1305.1843},
year = {2016}
}
Comments
27 pages, 1 figure