Destruction of Absolutely Continuous Spectrum by Perturbation Potentials of Bounded Variation
نویسنده
چکیده
We show that absolutely continuous spectrum of one-dimensional Schrödinger operators may be destroyed by adding to them decaying perturbation potentials of bounded variation.
منابع مشابه
Absolutely Continuous Spectrum for One-dimensional Schr Odinger Operators with Slowly Decaying Potentials: Some Optimal Results
and some self-adjoint boundary condition at the origin. We assume that U is some bounded function for which HU has absolutely continuous spectrum. The presence of the absolutely continuous spectrum has direct consequences for the physical properties of the quantum particle described by the operator HU (see, e.g. [23, 2]). If we perturb this operator by some decaying potential V (x), the Weyl cr...
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