Zeroes of the spectral density of the periodic Schrödinger operator with Wigner–von Neumann potential
From MaRDI portal
Publication:2898402
DOI10.1017/S030500411100079XzbMath1257.34072arXiv1102.5207OpenAlexW2963690491MaRDI QIDQ2898402
Sergey Simonov, Serguei Naboko
Publication date: 11 July 2012
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.5207
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05)
Related Items
Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues, Topics on Fermi varieties of discrete periodic Schrödinger operators, Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential, Appearance of new parametric resonances in time-dependent harmonic oscillator, Zeroes of the spectral density of discrete Schrödinger operator with Wigner-von Neumann potential, Dirac operators with operator data of Wigner-von Neumann type, 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, Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique, The limiting absorption principle for the discrete Wigner-von Neumann operator, Eigenvalues for perturbed periodic Jacobi matrices by the Wigner-von Neumann approach, 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, Revisiting the Christ–Kiselev’s multi-linear operator technique and its applications to Schrödinger operators
Cites Work
- Unnamed Item
- Perturbations of the Wigner-von Neumann potential leaving the embedded eigenvalue fixed
- Absolute continuity of Hamiltonians with von Neumann Wigner potentials. II
- Dense point spectra of Schrödinger and Dirac operators
- On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
- Zero-range potentials with internal structures and the inverse scattering problem
- Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation
- Asymptotic integration of adiabatic oscillators
- Absolute continuity and spectral concentration for slowly decaying potentials
- On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
- Wave operators and positive eigenvalues for a Schrödinger equation with oscillating potential
- Absolutely continuous spectra of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials
- Averaging method in the asymptotic integration problem for systems with oscillatory-decreasing coefficients
- Jost functions and Jost solutions for Jacobi matrices. I: A necessary and sufficient condition for Szegő asymptotics
- Embedded Half-Bound States for Potentials of Wigner-Von Neumann Type
- A Weyl–Titchmarsh type formula for a discrete Schrödinger operator with Wigner–von Neumann potential
- On a Problem of Weyl in the Theory of Singular Sturm-Liouville Equations
- Wigner–von Neumann perturbations of a periodic potential: spectral singularities in bands
- Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
- Asymptotic behavior of Jost functions near resonance points for Wigner–von Neumann type potentials
- The m-function for Hamiltonians with Wigner–von Neumann potentials
- Scattering matrices with finite phase shift and the inverse scattering problem
- Some Schrödinger operators with dense point spectrum
- The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices
