Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications
✍ Scribed by Duche^ne, Vincent; Marzuola, Jeremy L.; Weinstein, Michael I.
- Book ID
- 119944613
- Publisher
- American Institute of Physics
- Year
- 2011
- Tongue
- English
- Weight
- 600 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0022-2488
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📜 SIMILAR VOLUMES
We use a semigroup positivity preserving to prove asymptotic completeness of the wave operators in many cases when they exist.
The existence of wave operators is considered for SCHRODINQER operators with anisotropic potentials. The potentials may have positive barriers which are allowed to increase up t o infinity over unbounded regions in Rn. The convergence of the corresponding wave and scattering operators is shown. I n
## Abstract We explore the connections between singular Weyl–Titchmarsh theory and the single and double commutation methods. In particular, we compute the singular Weyl function of the commuted operators in terms of the original operator. We apply the results to spherical Schrödinger operators (al