Spectral Rigidity for Radial Schrödinger Operators
✍ Scribed by R. Carlson; C. Shubin
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 562 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0022-0396
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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 The absolutely continuous and singular spectrum of one‐dimensional Schrödinger operators with slowly oscillating potentials and perturbed periodic potentials is studied, continuing similar investigations for Jacobi matrices from [14]. Trace class methods are used to locate the singular
In this paper one obtains a result concerning the asymptotic behaviour of the spectral function on the diagonal for SCHRODINOER operators Ah = --A + V as h -+ 0. This asymptotic change the form on the energy level V ( x ) = A.