Published March 3, 2009
| Version Submitted
Discussion Paper
Open
Remarks on eigenvalue estimates and semigroup domination
Creators
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.Attached Files
Submitted - 0903.0561.pdf
Files
0903.0561.pdf
Additional details
Identifiers
- Eprint ID
- 77802
- Resolver ID
- CaltechAUTHORS:20170526-092635990
Related works
- Describes
- https://arxiv.org/abs/0903.0561 (URL)
Funding
- Deutsche Forschungsgemeinschaft (DFG)
- FR 2664/1-1
- NSF
- PHY-0652854
Dates
- Created
-
2017-05-26Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department