Schrödinger Operators with Rapidly Oscillating Potentials
✍ Scribed by Itaru Sasaki
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2007
- Tongue
- English
- Weight
- 167 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
By studying the integrated density of states, we prove the existence of Lyapunov exponents and the Thouless formula for the Schro dinger operator &d 2 Âdx 2 +cos x & with 0<&<1 on L 2 [0, ). This yields an explicit formula for these Lyapunov exponents. By applying rank one perturbation theory, we al
## 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