Remarks on eigenvalue estimates and semigroup domination
Spectral Theory
2009-03-04 v1 Mathematical Physics
math.MP
Abstract
We present an overview over recent results concerning semi-classical spectral estimates for magnetic Schroedinger operators. We discuss how the constants in magnetic and non-magnetic eigenvalue bounds are related and we prove, in an abstract setting, that any non-magnetic Lieb-Thirring-type inequality implies a magnetic Lieb-Thirring-type inequality with possibly a larger constant.
Cite
@article{arxiv.0903.0561,
title = {Remarks on eigenvalue estimates and semigroup domination},
author = {Rupert L. Frank},
journal= {arXiv preprint arXiv:0903.0561},
year = {2009}
}
Comments
26 pages