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

DOI10.1017/S0308210510001666zbMath1305.34149arXiv1102.5213OpenAlexW2049610565MaRDI QIDQ2837116

Sergey Simonov, Pavel Kurasov

Publication date: 10 July 2013

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5213

zbMATH Keywords

Schrödinger operatorWeyl-Titchmarsh theoryWigner-von Neumann potentialasymptotics of generalized eigenvectors

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (7)

Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential ⋮ Zeroes of the spectral density of discrete Schrödinger operator with Wigner-von Neumann potential ⋮ Limiting absorption principle for discrete Schrödinger operators with a Wigner-von Neumann potential and a slowly decaying potential ⋮ Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations ⋮ The limiting absorption principle for the discrete Wigner-von Neumann operator ⋮ Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case ⋮ Generalized Prüfer variables for perturbations of Jacobi and CMV matrices

This page was built for publication: Weyl—Titchmarsh-type formula for periodic Schrödinger operator with Wigner—von Neumann potential