Dispersive Estimates for Schrödinger Operators in Dimensions One and Three
✍ Scribed by M. Goldberg; W. Schlag
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 245 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
Under certain conditions on the potential a one-dimensional Schradinger operator has a unique bound state in the limit of weak coupling while under other conditions no bound state is present in this limit. This question is investigated for potentials obeying s (1 + ] x I) I V(x)1 dx < ~0. An asympto
Using a probabilistic approach based on the Feynman-Kac formalism and the spectral radius of the shuttle operator, we prove that two-dimensional Schrödinger operators \(H=-\Delta+V\) with short-range potentials \(V\) satisfying \(V(x)=\left.\right|_{\mid x \rightarrow \infty} 0\left(|x|^{-2}(\ln (|x