Weyl-Titchmarsh type formula for periodic Schroedinger operator with Wigner-von Neumann potential
Spectral Theory
2011-02-28 v1
Abstract
Schroedinger operator on the half-line with periodic background potential perturbed by a certain potential of Wigner-von Neumann type is considered. The asymptotics of generalized eigenvectors for the values of the spectral parameter from the upper half-plane and on the absolutely continuous spectrum is established. Weyl-Titchmarsh type formula for this operator is proven.
Keywords
Cite
@article{arxiv.1102.5213,
title = {Weyl-Titchmarsh type formula for periodic Schroedinger operator with Wigner-von Neumann potential},
author = {Pavel Kurasov and Sergey Simonov},
journal= {arXiv preprint arXiv:1102.5213},
year = {2011}
}