Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials
Publication
, Journal Article
Christ, M; Kiselev, A
Published in: Geometric and Functional Analysis
January 1, 2002
We prove existence of modified wave operators for one-dimensional Schrödinger equations with potential in LP(ℝ). p < 2. If in addition the potential is conditionally integrable, then the usual Möller wave operators exist. We also prove asymptotic completeness of these wave operators for some classes of random potentials, and for almost every boundary condition for any given potential.
Duke Scholars
Published In
Geometric and Functional Analysis
DOI
ISSN
1016-443X
Publication Date
January 1, 2002
Volume
12
Issue
6
Start / End Page
1174 / 1234
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Christ, M., & Kiselev, A. (2002). Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Geometric and Functional Analysis, 12(6), 1174–1234. https://doi.org/10.1007/s00039-002-1174-9
Christ, M., and A. Kiselev. “Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials.” Geometric and Functional Analysis 12, no. 6 (January 1, 2002): 1174–1234. https://doi.org/10.1007/s00039-002-1174-9.
Christ M, Kiselev A. Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Geometric and Functional Analysis. 2002 Jan 1;12(6):1174–234.
Christ, M., and A. Kiselev. “Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials.” Geometric and Functional Analysis, vol. 12, no. 6, Jan. 2002, pp. 1174–234. Scopus, doi:10.1007/s00039-002-1174-9.
Christ M, Kiselev A. Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Geometric and Functional Analysis. 2002 Jan 1;12(6):1174–1234.
Published In
Geometric and Functional Analysis
DOI
ISSN
1016-443X
Publication Date
January 1, 2002
Volume
12
Issue
6
Start / End Page
1174 / 1234
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics