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Published May 26, 2017 | Submitted
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Remarks on eigenvalue estimates and semigroup domination

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.

Additional Information

© 2009 by the author. This paper may be reproduced, in its entirety, for non-commercial purposes. Submitted on 3 Mar 2009. Support through DFG grant FR 2664/1-1 and U.S. National Science Foundation grant PHY 06 52854 is gratefully acknowledged.

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