Spectral theory of one-channel operators and application to absolutely continuous spectrum for Anderson type models

DOI10.1016/J.JFA.2018.01.017zbMath1477.81034arXiv1703.08055OpenAlexW2607921126MaRDI QIDQ1702577

Christian Sadel

Publication date: 28 February 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08055

zbMATH Keywords

Anderson modelabsolutely continuous spectrumoperators on graphsextended states

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (5)

GOE statistics for Anderson models on antitrees and thin boxes in \(\mathbb{Z}^3\) with deformed Laplacian ⋮ Footprint of a topological phase transition on the density of states ⋮ Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip ⋮ Green matrix estimates of block Jacobi matrices. I: Unbounded gap in the essential spectrum ⋮ Transfer matrices for discrete Hermitian operators and absolutely continuous spectrum

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