Absolutely Continuous Spectrum For Schr\"odinger Operators With Random Decaying Matrix Potentials on The Strip
Mathematical Physics
2022-02-08 v1 math.MP
Spectral Theory
Abstract
We consider a family of random Schr\"odinger operators on the discrete strip with decaying random matrix potential. We prove that the spectrum is almost surely pure absolutely continuous, apart from random, possibly embedded eigenvalues, which may accumulate at band edges.
Keywords
Cite
@article{arxiv.2202.02936,
title = {Absolutely Continuous Spectrum For Schr\"odinger Operators With Random Decaying Matrix Potentials on The Strip},
author = {Hernan Gonzales and Christian Sadel},
journal= {arXiv preprint arXiv:2202.02936},
year = {2022}
}
Comments
25 pages, 1 figure