## Abstract We study the existence and completeness of the wave operators __W~ω~(A(b),‐Δ__) for general Schrodinger operators of the form equation image is a magnetic potential.
Spectral Gaps for Periodic Schrödinger Operators with Strong Magnetic Fields
✍ Scribed by Yuri A. Kordyukov
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 196 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0010-3616
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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 spectrum of the two‐dimensional Schrödinger operator with strong magnetic field and electric potential is contained in a union of intervals centered on the Landau levels. The study of the spectrum in any of these intervals is reduced by unitary equivalence to the study of a one‐dime