Wigner-von Neumann perturbations of a periodic potential: spectral singularities in bands
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Wigner-von Neumann type perturbations of the periodic one-dimensional Schrodinger operator are considered. The asymptotics of the solution to the generalized eigenfunction equation is investigated. It is proven that a subordinated solution and therefore art embedded eigenvalue may occur at the points of the absolutely continuous spectrum satisfying a certain resonance (quantization) condition between the frequencies of the perturbation, the frequency of the background potential and the corresponding quasimomentum.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - 2007|