Internal Lifschitz tails

DOI10.1007/BF01011147zbMath0683.60079OpenAlexW1991375092MaRDI QIDQ1824954

Barry Simon

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01011147

zbMATH Keywords

Anderson modeldensity of statesLifschitz tailsrandom Hamiltonianspotential distributionperiodic potentials

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Lifschitz singularities for periodic operators plus random potentials ⋮ Lifshitz tails for the interband light absorption coefficient ⋮ A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states ⋮ Internal Lifshitz tails for discrete Schrödinger operators ⋮ Internal Lifshits tails for random perturbations of periodic Schrödinger operators. ⋮ Density of states and Lifshitz tails for discrete 1D random Dirac operators ⋮ Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime ⋮ Internal Lifschitz singularities for one dimensional Schrödinger operators

Cites Work

• Almost periodic Schrödinger operators. II: The integrated density of states
• Lifshitz tails for periodic plus random potentials
• Probabilistic methods in some problems of scattering theory
• On the spectrum of Schrödinger operators with a random potential

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