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Remarks on eigenvalue estimates and semigroup domination

Frank, Rupert L. (2009) Remarks on eigenvalue estimates and semigroup domination. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170526-092635990

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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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/0903.0561arXivDiscussion paper
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.
Funders:
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)FR 2664/1-1
NSFPHY-0652854
Record Number:CaltechAUTHORS:20170526-092635990
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170526-092635990
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77802
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:26 May 2017 17:31
Last Modified:26 May 2017 17:31

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