Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach

DOI10.1080/10236198.2018.1468890zbMath1500.47047arXiv1805.03701OpenAlexW2800792253WikidataQ129855322 ScholiaQ129855322MaRDI QIDQ4685497

Edmund Judge, Serguei Naboko, I. G. Wood

Publication date: 9 October 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03701

zbMATH Keywords

Jacobi matricesspectral theoryperiodic operatorsembedded eigenvaluesWigner-von Neumann

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (2)

Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators

Cites Work

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• Spectral analysis of unbounded Jacobi operators with oscillating entries
• New discrete Levinson type asymptotics of solutions of linear systems
• On the location of the discrete spectrum for complex Jacobi matrices
• Wigner-von Neumann type perturbations of periodic Schrödinger operators

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