Towards localisation by Gaussian random potentials in multi-dimensional continuous space

DOI10.1007/BF01815517zbMath0862.60047MaRDI QIDQ2563429

Hajo Leschke, Werner Fischer, Peter Müller

Publication date: 25 May 1997

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

zbMATH Keywords

random Schrödinger operatorslocalization

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Random linear operators (47B80)

Cites Work

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• On absence of diffusion near the bottom of the spectrum for a random Schrödinger operator on \(L^ 2({\mathbb{R}}^ v)^+\)
• Localization for random Schrödinger operators with correlated potentials
• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• On the integrated density of states for the Schrödinger operators with certain random electromagnetic potentials
• Mixing: Properties and examples
• Localization for some continuous, random Hamiltonians in \(d\)-dimensions
• On spectra of random Schrödinger operators with magnetic fields
• Localization for some continuous random Schrödinger operators
• Landau Hamiltonians with random potentials: Localization and the density of states
• Wegner estimates and Anderson localization for alloy-type potentials
• Localization in single Landau bands

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