Published 2014
| Submitted
Journal Article
Open
Cwikel's theorem and the CLR inequality
- Creators
-
Frank, Rupert L.
Abstract
We give a short proof of the CLR bound on the number of negative eigenvalues of Schrödinger operators. The argument, which is based on work of Rumin, leads to remarkably good constants and applies to the case of operator-valued potentials as well. Moreover, we obtain the general form of Cwikel's estimate about the singular values of operators of the form f(X)g(−i∇).
Additional Information
© 2014 European Mathematical Society. Received June 14, 2012. U.S. National Science Foundation grants PHY-1068285 and PHY-1347399 are acknowledged.Attached Files
Submitted - 1206.3325v1.pdf
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1206.3325v1.pdf
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Additional details
- Eprint ID
- 45989
- DOI
- 10.4171/JST/59
- Resolver ID
- CaltechAUTHORS:20140530-072438434
- PHY-1068285
- NSF
- PHY-1347399
- NSF
- Created
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2014-05-30Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field