## 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
Spectral and scattering theory for a class of strongly oscillating potentials
✍ Scribed by Monique Combescure
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 998 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
## 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
An oscillator with a non-linear restoring force and a small linear damping under wide-band random excitation is considered. A modified Van Der Pol transformation with a suitable amplitude dependent frequency, is used to transform the original system into a first order vector system to which the stoc