The density of states depends on the domain
Mathematical Physics
2021-07-22 v1 math.MP
Abstract
In this short note we demonstrate that the definition of the density of states of a Schr\"{o}dinger operator with bounded potential in general depends on the choice of the domain undergoing the thermodynamic limit.
Keywords
Cite
@article{arxiv.2107.09828,
title = {The density of states depends on the domain},
author = {Nurulla Azamov and Edward McDonald and Dmitriy Zanin and Fedor Sukochev},
journal= {arXiv preprint arXiv:2107.09828},
year = {2021}
}
Comments
3 pages