Resonances in one dimension and Fredholm determinants

Authors
Simon, B
Citation
B. Simon, Resonances in one dimension and Fredholm determinants, J FUNCT ANA, 178(2), 2000, pp. 396-420
Citations number
31
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
178
Issue
2
Year of publication
2000
Pages
396 - 420
Database
ISI
SICI code
0022-1236(200012)178:2<396:RIODAF>2.0.ZU;2-C
Abstract
We discuss resonances for Schrodinger operators in whole- and half-line pro blems. 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 the re are an odd number of antibound states between any two bound states. (C) 2000 Academic Press.