On the Fröhlich-Spencer-estimate in the theory of Anderson localization

DOI10.1007/BF02568359zbMath0743.47048OpenAlexW2109018594MaRDI QIDQ1173610

Jürgen Pöschel

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155570

zbMATH Keywords

Hamiltonianfinite differenceAnderson localizationenergy values close to the spectrumexponential decay properties of the associated Green's functionFröhlich-Spencer estimatepure point spectrum with exponentially localized eigenstates within the spectrum of Schrödinger operatorsrandom Schrödinger operators on integer lattices

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05)

Related Items (1)

Forced vibrations via Nash-Moser iteration

Cites Work

• A new proof of localization in the Anderson tight binding model
• Absence of diffusion in the Anderson tight binding model for large disorder or low energy

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