Published December 20, 2000
| Version public
Journal Article
Resonances in One Dimension and Fredholm Determinants
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.
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.Additional details
Identifiers
- Eprint ID
- 77351
- DOI
- 10.1006/jfan.2000.3669
- Resolver ID
- CaltechAUTHORS:20170510-140505304
Funding
- NSF
- DMS-9707661
Dates
- Created
-
2017-05-16Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department