scientific article; zbMATH DE number 5217631

zbMath1132.35352arXivmath/0509668MaRDI QIDQ5429847

Alexander Kiselev, Sergey A. Denisov

Publication date: 4 December 2007

Full work available at URL: https://arxiv.org/abs/math/0509668

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General topics in linear spectral theory for PDEs (35P05) Applications of operator theory in the physical sciences (47N50) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (25)

Growth of the eigensolutions of Laplacians on Riemannian manifolds. II: Positivity of the initial energy ⋮ Appearance of new parametric resonances in time-dependent harmonic oscillator ⋮ Stability of spectral types of quasi-periodic Schrödinger operators with respect to perturbations by decaying potentials ⋮ Periodic Jacobi matrices on trees ⋮ Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality ⋮ Schrödinger operators and associated hyperbolic pencils ⋮ Dirac operators with operator data of Wigner-von Neumann type ⋮ Remark on Itô's diffusion in multidimensional scattering with sign-indefinite potentials ⋮ On the existence of embedded eigenvalues ⋮ Spatial asymptotics of Green’s function for elliptic operators and applications: a.c. spectral type, wave operators for wave equation ⋮ Absence of singular continuous spectrum for perturbed discrete Schrödinger operators ⋮ Preservation of absolutely continuous spectrum of periodic Jacobi operators under perturbations of square-summable variation ⋮ Zero-energy bound state decay for non-local Schrödinger operators ⋮ Absolutely continuous spectrum of the Schrödinger operator with a potential representable as a sum of three functions with special properties ⋮ Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators ⋮ Absolutely continuous spectrum of a Dirac operator in the case of a positive mass ⋮ On eigenvalues of the one-dimensional Dirac operator with oscillatory decreasing potential ⋮ On perturbations of quasiperiodic Schrödinger operators ⋮ The Fibonacci Hamiltonian ⋮ On the absolutely continuous spectrum of generalized indefinite strings ⋮ Potentials for non-local Schrödinger operators with zero eigenvalues ⋮ Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum ⋮ Spectral edge behavior for eventually monotone Jacobi and Verblunsky coefficients ⋮ Revisiting the Christ–Kiselev’s multi-linear operator technique and its applications to Schrödinger operators ⋮ Absolutely continuous spectrum of a one-parameter family of Schrödinger operators

This page was built for publication: