A note on Ambarzumian's theorem for quantum graphs
Spectral Theory
2024-05-07 v1 Mathematical Physics
math.MP
Abstract
Based on the main result presented in a recent paper, we derive Ambarzumian-type theorems for Schr\"odinger operators defined on quantum graphs. We recover existing results such as the classical theorem by Ambarzumian and establish some seemingly new statements, too.
Cite
@article{arxiv.2308.10881,
title = {A note on Ambarzumian's theorem for quantum graphs},
author = {Patrizio Bifulco and Joachim Kerner},
journal= {arXiv preprint arXiv:2308.10881},
year = {2024}
}
Comments
5 pages, comments welcome!