Lieb-Thirring-type inequalities for random Schr\"odinger operators with complex potentials
Spectral Theory
2023-08-29 v2 Mathematical Physics
Analysis of PDEs
Functional Analysis
math.MP
Abstract
We review some results and proofs on eigenvalue bounds for random Schr\"odinger operators with complex-valued potentials. We also include new Schatten norm estimates for the resolvent and use them to obtain bounds for sums of eigenvalues.
Cite
@article{arxiv.2308.08889,
title = {Lieb-Thirring-type inequalities for random Schr\"odinger operators with complex potentials},
author = {Jean-Claude Cuenin and Konstantin Merz},
journal= {arXiv preprint arXiv:2308.08889},
year = {2023}
}
Comments
14 pages