Localization on quantum graphs with random edge lengths
From MaRDI portal
Publication:1013630
DOI10.1007/s11005-009-0293-8zbMath1161.81362arXiv0810.1006OpenAlexW2068539378MaRDI QIDQ1013630
Konstantin Pankrashkin, Frédéric Klopp
Publication date: 20 April 2009
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.1006
Random operators and equations (aspects of stochastic analysis) (60H25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) PDEs with randomness, stochastic partial differential equations (35R60) Random linear operators (47B80)
Related Items (5)
Continuity of the integrated density of states on random length metric graphs ⋮ Some abstract Wegner estimates with applications ⋮ ANDERSON LOCALIZATION FOR A MULTI-PARTICLE QUANTUM GRAPH ⋮ Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures ⋮ Estimation of number of modes in periodic graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectra of Schrödinger operators on equilateral quantum graphs
- Localization on quantum graphs with random vertex couplings
- Absolutely continuous spectra of quantum tree graphs with weak disorder
- Eigenfunction expansions for Schrödinger operators on metric graphs
- On the basic states of one-dimensional disordered structures
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Localization at large disorder and at extreme energies: an elementary derivation
- A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
- Non-Lifshitz tails at the spectral bottom of some random operators
- Sch'nol's theorem for strongly local forms
- Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction
- LOCALIZATION ON A QUANTUM GRAPH WITH A RANDOM POTENTIAL ON THE EDGES
- SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS
- Uniform existence of the integrated density of states for combinatorial and metric graphs over Z^d
- Optimal Wegner estimates for random Schroedinger operators on metric graphs
- Equilateral quantum graphs and boundary triples
- A duality between Schroedinger operators on graphs and certain Jacobi matrices
- A note on Anderson localization for the random hopping model
- Localization for Schrodinger operators with random vector potentials
- A random necklace model
- Quantum graphs: I. Some basic structures
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- Quantum Graphs and Their Applications
- Lifshitz tail for 2D discrete Schrödinger operator with random magnetic field.
- Caught by disorder. Bound states in random media
This page was built for publication: Localization on quantum graphs with random edge lengths