Imbedded singular continuous spectrum for Schrödinger operators
From MaRDI portal
Publication:4679399
DOI10.1090/S0894-0347-05-00489-3zbMath1081.34084arXivmath/0111200MaRDI QIDQ4679399
Publication date: 30 May 2005
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0111200
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Related Items (18)
On the coexistence of absolutely continuous and singular continuous components of the spectral measure for some Sturm--Liouville operators with square summable potential ⋮ On the singular spectrum of Schrödinger operators with decaying potential ⋮ Verblunsky coefficients with Coulomb-type decay ⋮ Finite propagation speed and kernel estimates for Schrödinger operators ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Stability of spectral types of quasi-periodic Schrödinger operators with respect to perturbations by decaying potentials ⋮ The absence of singular continuous spectrum for perturbed Jacobi operators ⋮ Dirac operators with operator data of Wigner-von Neumann type ⋮ Absence of singular continuous spectrum for perturbed discrete Schrödinger operators ⋮ Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case ⋮ Bands of pure absolutely continuous spectrum for lattice Schrödinger operators with a more general long range condition ⋮ Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators ⋮ Limiting absorption principle for Schrödinger operators with oscillating potentials ⋮ The scattering of fractional Schrödinger operators with short range potentials ⋮ KdV is well-posed in \(H^{-1}\) ⋮ On the absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials ⋮ Revisiting the Christ–Kiselev’s multi-linear operator technique and its applications to Schrödinger operators ⋮ Agmon-Kato-Kuroda theorems for a large class of perturbations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Singular continuous measures in scattering theory
- Exponential localization in one dimensional disordered systems
- The absolute continuous spectrum of one-dimensional Schrödinger operators with decaying potentials
- Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
- On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
- Sum rules for Jacobi matrices and their applications to spectral theory
- Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials.
- Operators with singular continuous spectrum. I: General operators
- Schrödinger operators with decaying potentials: some counterexamples
- On the coexistence of absolutely continuous and singular continuous components of the spectral measure for some Sturm--Liouville operators with square summable potential
- Transfer matrices and transport for Schrödinger operators.
- Quantum dynamics and decompositions of singular continuous spectra
- Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results
- Bounds on embedded singular spectrum for one-dimensional Schrödinger operators
- Some Schrödinger operators with dense point spectrum
- WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials
- Finite gap potentials and WKB asymptotics for one-dimensional Schrödinger operators
This page was built for publication: Imbedded singular continuous spectrum for Schrödinger operators
