Citation
P. Deift et R. Killip, On the absolutely continuous spectrum of one-dimensional Schrodinger operators with square summable potentials, COMM MATH P, 203(2), 1999, pp. 341-347
Citations number
13
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616
→ ACNP
Volume
203
Issue
2
Year of publication
1999
Pages
341 - 347
Database
ISI
SICI code
0010-3616(199906)203:2<341:OTACSO>2.0.ZU;2-N
Abstract
For continuous and discrete one-dimensional Schrodinger operators with squa
re summable potentials, the absolutely continuous part of the spectrum is e
ssentially supported by [0, infinity) and [-2, 2] respectively. This fact i
s proved by considering a priori estimates for the transmission coefficient
.