Splitting Formulas for the Higher and Lower Energy Levels of the One-Dimensional Schrödinger Operator
✍ Scribed by S. Albeverio; S.Yu. Dobrokhotov; E.S. Semenov
- Book ID
- 111612802
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2004
- Tongue
- English
- Weight
- 175 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0040-5779
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📜 SIMILAR VOLUMES
Let H =&( 2 Â2) 2+V(x) be a Schro dinger operator on R n , with smooth potential V(x) Ä + as |x| Ä + . The spectrum of H is discrete, and one can study the asymptotic of the smoothed spectral density We shall investigate the case where E is a critical value of the symbol H of H and, extending the w
## Communicated by E. Meister In this paper we consider the unique continuation property for Schrodinger operators and its application for proving the non-existence of positive eigenvalues (embedded in the continuous spectrum). We also use the estimate given by Jerison and Kenig9 to prove unique c