Absolutely continuous spectrum of perturbed stark operators
Journal Article (Journal Article)
We prove new results on the stability of the absolutely continuous spectrum for perturbed Stark operators with decaying or satisfying certain smoothness assumption perturbation. We show that the absolutely continuous spectrum of the Stark operator is stable if the perturbing potential decays at the rate (1 + x)-1/3-ε or if it is continuously differentiate with derivative from the Holder space Ca(R), with any α > 0. © 1999 American Mathematical Society.
Full Text
Duke Authors
Cited Authors
- Kiselev, A
Published Date
- January 1, 2000
Published In
Volume / Issue
- 352 / 1
Start / End Page
- 243 - 256
International Standard Serial Number (ISSN)
- 0002-9947
Digital Object Identifier (DOI)
- 10.1090/s0002-9947-99-02450-2
Citation Source
- Scopus