Schrödinger operators with slowly decaying Wigner-von Neumann type potentials

DOI10.4171/JST/41zbMath1278.34100arXiv1201.4840OpenAlexW2963188964MaRDI QIDQ1948489

Milivoje Lukic

Publication date: 6 May 2013

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4840

zbMATH Keywords

Schrödinger operatorbounded variationWigner-von Neumann potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (16)

Schrödinger operators with \(n\) positive eigenvalues: an explicit construction involving complex-valued potentials ⋮ Topics on Fermi varieties of discrete periodic Schrödinger operators ⋮ The inverse scattering transform for weak Wigner–von Neumann type potentials ^* ⋮ On a conjecture for higher-order Szegő theorems ⋮ Appearance of new parametric resonances in time-dependent harmonic oscillator ⋮ Dirac operators with operator data of Wigner-von Neumann type ⋮ A class of Schrödinger operators with decaying oscillatory potentials ⋮ Limiting absorption principle for discrete Schrödinger operators with a Wigner-von Neumann potential and a slowly decaying potential ⋮ Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators ⋮ Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique ⋮ The limiting absorption principle for the discrete Wigner-von Neumann operator ⋮ Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators ⋮ Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian ⋮ Generalized Prüfer variables for perturbations of Jacobi and CMV matrices ⋮ Wigner-von Neumann type perturbations of periodic Schrödinger operators ⋮ Embedded eigenvalues and Neumann-Wigner potentials for relativistic Schrödinger operators

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