Lifshits Tails for Squared Potentials
Mathematical Physics
2018-08-01 v3 math.MP
Abstract
We consider Schr\"odinger operators with a random potential which is the square of an alloy-type potential. We investigate their integrated density of states and prove Lifshits tails. Our interest in this type of models is triggered by an investigation of randomly twisted waveguides.
Keywords
Cite
@article{arxiv.1704.01435,
title = {Lifshits Tails for Squared Potentials},
author = {Werner Kirsch and Georgi Raikov},
journal= {arXiv preprint arXiv:1704.01435},
year = {2018}
}