A series of spectral gaps for the almost Mathieu operator with a small coupling constant
Spectral Theory
2021-02-22 v2 Mathematical Physics
math.MP
Abstract
For the almost Mathieu operator with a small coupling constant, for a series of spectral gaps, we describe the asymptotic locations of the gaps and get lower bounds for their lengths. The results are obtained by analysing a monodromy matrix.
Keywords
Cite
@article{arxiv.2012.03356,
title = {A series of spectral gaps for the almost Mathieu operator with a small coupling constant},
author = {Alexander Fedotov},
journal= {arXiv preprint arXiv:2012.03356},
year = {2021}
}
Comments
41 pages, 1 figure