Isospectrum of non-self-adjoint almost-periodic Schrodinger operators
Dynamical Systems
2022-06-07 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
For non-self-adjoint almost-periodic Schr\"odinger operators, a criterion is given to guarantee that they have both the same spectrum and same Lyapunov exponents with the discrete free Laplacian. As a byproduct, we show that the Moser-P\"oschel argument for opening gaps may not be valid for non-self-adjoint operators.
Keywords
Cite
@article{arxiv.2206.02400,
title = {Isospectrum of non-self-adjoint almost-periodic Schrodinger operators},
author = {Xueyin Wang and Jiangong You and Qi Zhou},
journal= {arXiv preprint arXiv:2206.02400},
year = {2022}
}