Wegner estimate for Landau-breather Hamiltonians

DOI10.1063/1.4955029zbMath1342.81128arXiv1607.00187OpenAlexW2464743234WikidataQ59311965 ScholiaQ59311965MaRDI QIDQ3185695

Matthias Täufer, Ivan Veselić

Publication date: 4 August 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00187

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Many-body theory; quantum Hall effect (81V70) PDEs with randomness, stochastic partial differential equations (35R60) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (4)

Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators ⋮ Controllability of the Schrödinger equation on unbounded domains without geometric control condition ⋮ Wegner estimate and disorder dependence for Alloy-type Hamiltonians with bounded magnetic potential ⋮ Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operators
• Lifshitz tails for a class of Schrödinger operators with random breather-type potential
• Scale-free uncertainty principles and Wegner estimates for random breather potentials
• Multiscale and variational methods in material science and quantum theory of solids. Abstracts from the mini-workshop held February 11--17, 2007.
• Spectral asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials.
• Existence and regularity properties of the integrated density of states of random Schrödinger operators
• Scale-free unique continuation estimates and applications to random Schrödinger operators
• An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators
• Dynamical delocalization in random Landau Hamiltonians
• Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators
• Global Continuity of the Integrated Density of States for Random Landau Hamiltonians
• EXISTENCE AND UNIQUENESS OF THE INTEGRATED DENSITY OF STATES FOR SCHRÖDINGER OPERATORS WITH MAGNETIC FIELDS AND UNBOUNDED RANDOM POTENTIALS
• QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS
• Spectral averaging, perturbation of singular spectra, and localization
• The \(L^p\)-theory of the spectral shift function, the Wegner estimate, and the integrated density of states for some random operators.

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