Infinite divisibility of random measures associated to some random Schrödinger operators
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Publication:1043693
zbMath1180.82106MaRDI QIDQ1043693
Publication date: 9 December 2009
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ojm/1256564209
Schrödinger operatormultiscale analysisAnderson localizationrandom measuresfractional moment methoddistributionof eigenvalues and eigenfunctions
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
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Cites Work
- Unnamed Item
- Moment analysis for localization in random Schrödinger operators
- Eigenfunction statistics in the localized Anderson model
- The local structure of the spectrum of the one-dimensional Schrödinger operator
- Localization for some continuous, random Hamiltonians in \(d\)-dimensions
- \(L^ p\)-estimates for Schrödinger operators
- On the spectrum of Schrödinger operators with a random potential
- Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
- The repulsion between localization centers in the Anderson model
- Schrödinger semigroups
- DISTRIBUTION OF LOCALIZATION CENTERS IN SOME DISCRETE RANDOM SYSTEMS
- Caught by disorder. Bound states in random media