Improved Lieb-Thirring type inequalities for non-selfadjoint Schr\"odinger operators
Spectral Theory
2021-11-09 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We improve the Lieb-Thirring type inequalities by Demuth, Hansmann and Katriel (J. Funct. Anal. 2009) for Schr\"odinger operators with complex-valued potentials. Our result involves a positive, integrable function. We show that in the one-dimensional case the result is sharp in the sense that if we take a non-integrable function, then an analogous inequality cannot hold.
Cite
@article{arxiv.2111.03938,
title = {Improved Lieb-Thirring type inequalities for non-selfadjoint Schr\"odinger operators},
author = {Sabine Bögli},
journal= {arXiv preprint arXiv:2111.03938},
year = {2021}
}
Comments
9 pages