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
Semi-Classical Asymptotic of Spectral Function for Some Schrödinger Operators
✍ Scribed by G. E. Karadzhov
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 466 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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.
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