Published September 2009
| Version Submitted + Published
Journal Article
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A Simple Proof of Hardy-Lieb-Thirring Inequalities
Abstract
We give a short and unified proof of Hardy-Lieb-Thirring inequalities for moments of eigenvalues of fractional Schrödinger operators. The proof covers the optimal parameter range. It is based on a recent inequality by Solovej, Sørensen, and Spitzer. Moreover, we prove that any non-magnetic Lieb-Thirring inequality implies a magnetic Lieb-Thirring inequality (with possibly a larger constant).
Additional Information
© 2009 by the author. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 19 September 2008. Accepted: 18 November 2008. Published online: 13 March 2009. Communicated by B. Simon The author would like to thank E. Lieb and R. Seiringer for very fruitful discussions, as well as J. P. Solovej, T. Østergaard Sørensen and W. Spitzer for useful correspondence. Support through DAAD grant D/06/49117 and U.S. National Science Foundation grant PHY 06 52854 is gratefully acknowledged.Attached Files
Published - art_3A10.1007_2Fs00220-009-0759-7.pdf
Submitted - 0809.3797.pdf
Files
0809.3797.pdf
Additional details
Identifiers
- Eprint ID
- 77396
- Resolver ID
- CaltechAUTHORS:20170512-093621400
Related works
- Describes
- https://arxiv.org/abs/0809.3797 (URL)
Funding
- Deutscher Akademischer Austauschdienst (DAAD)
- D/06/49117
- NSF
- PHY-0652854
Dates
- Created
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2017-05-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
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- Mathematics Department