On the AC spectrum of one-dimensional random Schrödinger operators with matrix-valued potentials

DOI10.1007/S11040-010-9076-9zbMath1257.82058arXiv0912.0294OpenAlexW3101579701MaRDI QIDQ430013

Richard Froese, David Hasler, Wolfgang L. Spitzer

Publication date: 20 June 2012

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0294

zbMATH Keywords

random Schrödinger operatorsspectral analysis

Mathematics Subject Classification ID

Inference from stochastic processes and spectral analysis (62M15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (3)

Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip ⋮ Absolutely continuous spectrum for the Anderson model on a product of a tree with a finite graph ⋮ Transfer matrices for discrete Hermitian operators and absolutely continuous spectrum

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Anderson model with decaying randomness existence of extended states
• Transfer matrices, hyperbolic geometry and absolutely continuous spectrum for some discrete Schrödinger operators on graphs
• Stochastic Schrödinger operators and Jacobi matrices on the strip
• On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
• On random Schrödinger operators on \(\mathbb{Z}^2\)
• Extended states in the Anderson model on the Bethe lattice
• Perturbation theory for Lyapunov exponents of an Anderson model on a strip
• A Szegő condition for a multidimensional Schrödinger operator
• Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum
• On the preservation of absolutely continuous spectrum for Schrödinger operators
• On the absolutely continuous spectrum of block operator matrices
• BREATHERS IN INHOMOGENEOUS NONLINEAR LATTICES: AN ANALYSIS VIA CENTER MANIFOLD REDUCTION
• Graph Subspaces and the Spectral Shift Function
• The Functional Calculus
• Anderson model with decaying randomness: Mobility edge
• Caught by disorder. Bound states in random media
• Spectra of Anderson type models with decaying randomness

This page was built for publication: On the AC spectrum of one-dimensional random Schrödinger operators with matrix-valued potentials