Simon, Barry (2000) Resonances in One Dimension and Fredholm Determinants. Journal of Functional Analysis, 178 (2). pp. 396-420. ISSN 0022-1236. doi:10.1006/jfan.2000.3669. https://resolver.caltech.edu/CaltechAUTHORS:20170510-140505304
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Abstract
We discuss resonances for Schrödinger operators in whole- and half-line problems. One of our goals is to connect the Fredholm determinant approach of Froese to the Fourier transform approach of Zworski. Another is to prove a result on the number of antibound states—namely, in a half-line problem there are an odd number of antibound states between any two bound states.
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| Additional Information: | © 2000 Academic Press. Received 5 June 2000, Accepted 8 August 2000, Available online 26 March 2002. This material is based upon work supported by the National Science Foundation under Grant DMS-9707661. The U.S. Government's right to retain a nonexclusive royalty-free license in and to the copyright covering this paper, for governmental purposes, is acknowledged. | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1006/jfan.2000.3669 | |||||||||
| Record Number: | CaltechAUTHORS:20170510-140505304 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170510-140505304 | |||||||||
| Official Citation: | Barry Simon, Resonances in One Dimension and Fredholm Determinants, Journal of Functional Analysis, Volume 178, Issue 2, 2000, Pages 396-420, ISSN 0022-1236, http://dx.doi.org/10.1006/jfan.2000.3669. (http://www.sciencedirect.com/science/article/pii/S0022123600936693) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 77351 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 16 May 2017 19:53 | |||||||||
| Last Modified: | 15 Nov 2021 17:30 |
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