Published December 2007
| Published + Submitted
Journal Article
Open
Number of Bound States of Schröedinger Operators with Matrix-Valued Potentials
Chicago
An error occurred while generating the citation.
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.
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.).Attached Files
Published - Frank2007_Article_NumberOfBoundStatesOfSchröding.pdf
Submitted - 0710.1877.pdf
Files
0710.1877.pdf
Files
(308.1 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:bf6ae7cfec79ff5b14f13e98d8f85fd0
|
150.3 kB | Preview Download |
|
md5:b2d640fbf278c0bc06e01b07a96bf3a0
|
157.8 kB | Preview Download |
Additional details
- Eprint ID
- 77336
- Resolver ID
- CaltechAUTHORS:20170510-095237526
- Deutscher Akademischer Austauschdienst (DAAD)
- D/06/49117
- NSF
- PHY-0652854
- NSF
- PHY-0652356
- Alfred P. Sloan Foundation
- Created
-
2017-05-12Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field