Eigenvalue Estimates for Schrödinger Operators with Complex Potentials
✍ Scribed by Ari Laptev; Oleg Safronov
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 297 KB
- Volume
- 292
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
In this paper, the periodic and the Dirichlet problems for the Schrödinger operator -(d 2 /dx 2 )+V are studied for singular, complex-valued potentials V in the Sobolev space H -a per [0, 1] (0 [ a < 1). The following results are shown: (1) The periodic spectrum consists of a sequence (l k ) k \ 0
## 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