Eigenvalues for perturbed periodic Jacobi matrices by the Wigner-von Neumann approach

DOI10.1007/s00020-016-2302-5zbMath1360.81145arXiv1601.03609OpenAlexW3123440592MaRDI QIDQ515980

Edmund Judge, I. G. Wood, Serguei Naboko

Publication date: 17 March 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03609

zbMATH Keywords

subordinate solutionsspectral theoryWigner-von Neumann potentialperiodic Jacobi operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12)

Related Items (5)

Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ The essential spectrum of some unbounded Jacobi matrices: a generalization of the Last-Simon approach ⋮ Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique ⋮ Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators ⋮ Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of embedded eigenvalues
• Generalized Prüfer variables for perturbations of Jacobi and CMV matrices
• Some Jacobi matrices with decaying potential and dense point spectrum
• Dense point spectra of Schrödinger and Dirac operators
• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• Effective perturbation methods for one-dimensional Schrödinger operators
• On eigenvalues of discrete Schrödinger operators with potentials of Coulomb-type decay
• Zeroes of the spectral density of the periodic Schrödinger operator with Wigner–von Neumann potential
• Absolute Continuity of Hamiltonians with von Neumann Wigner Potentials
• Wigner–von Neumann perturbations of a periodic potential: spectral singularities in bands
• New discrete Levinson type asymptotics of solutions of linear systems
• Wigner-von Neumann type perturbations of periodic Schrödinger operators
• Some Schrödinger operators with dense point spectrum

This page was built for publication: Eigenvalues for perturbed periodic Jacobi matrices by the Wigner-von Neumann approach