Weyl's law under minimal assumptions
Spectral Theory
2022-02-02 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We show that Weyl's law for the number and the Riesz means of negative eigenvalues of Schr\"odinger operators remains valid under minimal assumptions on the potential, the vector potential and the underlying domain.
Cite
@article{arxiv.2202.00323,
title = {Weyl's law under minimal assumptions},
author = {Rupert L. Frank},
journal= {arXiv preprint arXiv:2202.00323},
year = {2022}
}
Comments
17 pages; dedicated to the memory of Sergey Naboko