On the spectral gap of one-dimensional Schr\"odinger operators on large intervals
Spectral Theory
2024-11-05 v2 Mathematical Physics
math.MP
Abstract
We study the effect of non-negative potentials on the spectral gap of one-dimensional Schr\"odinger operators in the limit of large intervals. In particular, we derive upper and lower bounds on the gap for different classes of potentials which characterize its asymptotic behaviour.
Keywords
Cite
@article{arxiv.2012.09060,
title = {On the spectral gap of one-dimensional Schr\"odinger operators on large intervals},
author = {Joachim Kerner and Matthias Täufer},
journal= {arXiv preprint arXiv:2012.09060},
year = {2024}
}