# On Lieb-Thirring Inequalities for Schrödinger Operators with Virtual Level

@article{Ekholm2006OnLI,
title={On Lieb-Thirring Inequalities for Schr{\"o}dinger Operators with Virtual Level},
author={Tomas Ekholm and Rupert L. Frank},
journal={Communications in Mathematical Physics},
year={2006},
volume={264},
pages={725-740}
}
• Published 10 February 2006
• Mathematics
• Communications in Mathematical Physics
We consider the operator H=−Δ−V in L2(ℝd), d≥3. For the moments of its negative eigenvalues we prove the estimate Similar estimates hold for the one-dimensional operator with a Dirichlet condition at the origin and for the two-dimensional Aharonov-Bohm operator.
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