The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs

DOI10.1515/ROSE.2008.001zbMath1199.47186arXiv0707.1486OpenAlexW1997116449WikidataQ59312013 ScholiaQ59312013MaRDI QIDQ5324850

Michael J. Gruber, Ivan Veselić

Publication date: 8 August 2009

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1486

zbMATH Keywords

integrated density of statesrandom Schrödinger operatormetric graphquantum graphWegner estimatealloy type model

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Random operators and equations (aspects of stochastic analysis) (60H25) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80)

Related Items (2)

Continuity of the integrated density of states on random length metric graphs ⋮ Continuity properties of the integrated density of states on manifolds

Cites Work

• Bounds on the spectral shift function and the density of states
• Continuity of integrated density of states -- independent randomness
• Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over \(\mathbb Z^d\)
• Hermitian symplectic geometry and extension theory
• LOCALIZATION ON A QUANTUM GRAPH WITH A RANDOM POTENTIAL ON THE EDGES
• On the density of states of Schrodinger operators with a random potential
• Kirchhoff's rule for quantum wires

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