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Resonances in One Dimension and Fredholm Determinants

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.

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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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Simon, Barry0000-0003-2561-8539
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
Record Number:CaltechAUTHORS:20170510-140505304
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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, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77351
Deposited By: Tony Diaz
Deposited On:16 May 2017 19:53
Last Modified:15 Nov 2021 17:30

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