Absolutely continuous spectrum for singular Stark Hamiltonians

Authors
Briet, P
Citation
P. Briet, Absolutely continuous spectrum for singular Stark Hamiltonians, REV MATH PH, 13(5), 2001, pp. 587-599
Citations number
22
Categorie Soggetti
Physics
Journal title
REVIEWS IN MATHEMATICAL PHYSICS
ISSN journal
0129055X → ACNP
Volume
13
Issue
5
Year of publication
2001
Pages
587 - 599
Database
ISI
SICI code
0129-055X(200105)13:5<587:ACSFSS>2.0.ZU;2-F
Abstract
In this paper, we consider Stark operators perturbed by some bounded potent ials. We prove that these operators are purely absolutely continuous (A-C) on some Borel subset S of R. We apply these results when the perturbation i s piecewise smooth, in this case we show that the A-C spectrum is the whole real line.