Subcritical behavior for quasi-periodic Schr\"odinger cocycles with trigonometric potentials
Mathematical Physics
2015-11-03 v2 math.MP
Abstract
We give a criterion implying subcritical behavior for quasi-periodic Schr\"odinger operators where the potential sampling function is given by a trigonometric polynomial. Subcritical behavior, in the sense of Avila's global theory, is known to imply purely absolutely continuous spectrum for all irrational frequencies and all phases.
Keywords
Cite
@article{arxiv.1509.05279,
title = {Subcritical behavior for quasi-periodic Schr\"odinger cocycles with trigonometric potentials},
author = {C. A. Marx and L. H. Shou and J. L. Wellens},
journal= {arXiv preprint arXiv:1509.05279},
year = {2015}
}
Comments
to appear in the Journal of Spectral Theory