In this paper we derive some a priori estimates on the resolvent of one dimensional Schrodinger operators from the solutions of the associated differential ëquation with real energy. In particular this implies the existence of an absolutely continuous spectrum in some situations.
Resolvent Estimates for Operators Belonging to Exponential Classes
✍ Scribed by Oscar F. Bandtlow
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2008
- Tongue
- English
- Weight
- 284 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
This article is a supplement to the paper of D. A. Dawson and P. March (J. Funct. Anal. 132 (1995), 417 472). We define a two-parameter scale of Banach spaces of functions defined on M 1 (R d ), the space of probability measures on d-dimensional euclidean space, using weighted sums of the classical
## Abstract For semiclassical Schrödinger 2×2–matrix operators, the symbol of which has crossing eigenvalues, we investigate the semiclassical Mourre theory to derive bounds __O__(__h__^−1^) (__h__ being the semiclassical parameter) for the boundary values of the resolvent, viewed as bounded operat