Continuous spectrum for a class of smooth mixing Schr\"odinger operators
Dynamical Systems
2019-02-20 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We give the first example of a smooth volume preserving mixing dynamical system such that the discrete Schr\"odinger operators on the line defined with a potential generated by this system and a H\"older sampling function, have almost surely a continuous spectrum.
Keywords
Cite
@article{arxiv.1610.02462,
title = {Continuous spectrum for a class of smooth mixing Schr\"odinger operators},
author = {Bassam Fayad and Yanhui Qu},
journal= {arXiv preprint arXiv:1610.02462},
year = {2019}
}