Weyl-Titchmarsh type formula for periodic Schroedinger operator with Wigner-von Neumann potential

Details Weyl-Titchmarsh type formula for periodic Schroedinger operator with Wigner-von Neumann potential Weyl-Titchmarsh type formula for periodic Schroedinger operator with Wigner-von Neumann potential

2011-02-25

arxiv.org/abs/1102.5213v1

Mathematics

Spectral Theory

Scientific paper

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.

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