## Abstract We examine two kinds of spectral theoretic situations: First, we recall the case of self‐adjoint half‐line Schrödinger operators on [__a__ , ∞), __a__ ∈ ℝ, with a regular finite end point __a__ and the case of Schrödinger operators on the real line with locally integrable potentials, wh
Weyl-Titchmarsh Theory for Schrodinger Operators with Strongly Singular Potentials
✍ Scribed by Kostenko, A.; Sakhnovich, A.; Teschl, G.
- Book ID
- 118031815
- Publisher
- Oxford University Press
- Year
- 2011
- Tongue
- English
- Weight
- 384 KB
- Category
- Article
- ISSN
- 1073-7928
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📜 SIMILAR VOLUMES
## 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
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