Criticality theory for Schr\"odinger operators on graphs
Spectral Theory
2017-09-01 v1 Analysis of PDEs
Abstract
We study Schr\"odinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schr\"odinger operators on general weighted graphs.
Keywords
Cite
@article{arxiv.1708.09664,
title = {Criticality theory for Schr\"odinger operators on graphs},
author = {Matthias Keller and Yehuda Pinchover and Felix Pogorzelski},
journal= {arXiv preprint arXiv:1708.09664},
year = {2017}
}
Comments
Essential parts of the paper have been split from the first version of the preprint arXiv:1612.04051 . 34 pages. Comments are welcome!