Frank, Rupert L. and Lieb, Elliott H. and Seiringer, Robert (2007) Number of Bound States of Schröedinger Operators with Matrix-Valued Potentials. Letters in Mathematical Physics, 82 (2-3). pp. 107-116. ISSN 0377-9017. doi:10.1007/s11005-007-0211-x. https://resolver.caltech.edu/CaltechAUTHORS:20170510-095237526
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Abstract
We give a Cwikel–Lieb–Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.
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Additional Information: | © 2007 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 09 October 2007; Revised: 15 November 2007; Accepted: 16 November 2007. Dedicated to Jean-Claude Cortet, in appreciation of his contribution to Letters in Mathematical Physics. This work was supported by DAAD grant D/06/49117 (R.F.), by U.S. National Science Foundation grants PHY 06 52854 (E.L.) and PHY 06 52356 (R.S.), and by an A.P. Sloan Fellowship (R.S.). | ||||||||||||
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Subject Keywords: | Schrödinger operator; Lieb–Thirring inequality; Cwikel–Lieb–Rozenblum inequality | ||||||||||||
Issue or Number: | 2-3 | ||||||||||||
Classification Code: | Mathematical Subject Classification (2000): Primary: 35P15. Secondary: 35J10; 47F05; 81Q10 | ||||||||||||
DOI: | 10.1007/s11005-007-0211-x | ||||||||||||
Record Number: | CaltechAUTHORS:20170510-095237526 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170510-095237526 | ||||||||||||
Official Citation: | Frank, R.L., Lieb, E.H. & Seiringer, R. Lett Math Phys (2007) 82: 107. https://doi.org/10.1007/s11005-007-0211-x | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 77336 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Ruth Sustaita | ||||||||||||
Deposited On: | 12 May 2017 20:12 | ||||||||||||
Last Modified: | 15 Nov 2021 17:30 |
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