Spectral gap asymptotics of one-dimensional Schrödinger operators with singular periodic potentials
✍ Scribed by Djakov, P.; Mityagin, B.
- Book ID
- 115445042
- Publisher
- Taylor and Francis Group
- Year
- 2009
- Tongue
- English
- Weight
- 123 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1065-2469
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📜 SIMILAR VOLUMES
Spectrum of the second-order differential operator with periodic point interactions in L 2 R is investigated. Classes of unitary equivalent operators of this type are described. Spectral asymptotics for the whole family of periodic operators are calculated. It is proven that the first several terms
## Abstract We examine two kinds of spectral theoretic situations: First, we recall the case of self‐adjoint half‐line Schrödinger operators on [__a__ , ∞), __a__ ∈ ℝ, with a regular finite end point __a__ and the case of Schrödinger operators on the real line with locally integrable potentials, wh