Study of the spectral characteristics of the one-dimensional Schrödinger operator with a potential having \(\delta\) and \(\delta'\) interactions. (English. Russian original) Zbl 1097.34552
Russ. Math. 47, No. 8, 74-78 (2003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2003, No. 8, 77-81 (2003).
The one-dimensional Schrödinger operator with a potential having \(\delta\) and \(\delta'\) interactions is considered. The author shows the validity of the Parseval-Steklov formula corresponding to this operator under some assumptions.
Reviewer: Chung-Tsun Shieh (Taipei)
MSC:
| 34L40 | Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) |
| 34L05 | General spectral theory of ordinary differential operators |
