Some spectral comparison results on infinite quantum graphs
Spectral Theory
2024-07-04 v1 Mathematical Physics
math.MP
Abstract
In this paper we establish spectral comparison results for Schr\"odinger operators on a certain class of infinite quantum graphs, using recent results obtained in the finite setting. We also show that new features do appear on infinite quantum graphs such as a modified local Weyl law. In this sense, we regard this paper as a starting point for a more thorough investigation of spectral comparison results on more general infinite metric graphs.
Keywords
Cite
@article{arxiv.2308.16869,
title = {Some spectral comparison results on infinite quantum graphs},
author = {Patrizio Bifulco and Joachim Kerner},
journal= {arXiv preprint arXiv:2308.16869},
year = {2024}
}
Comments
11 pages, 3 figures, comments welcome!