Internal Lifschitz singularities of disordered finite-difference Schrödinger operators

DOI10.1007/BF01464286zbMath0617.35032MaRDI QIDQ1821952

G. Andrei Mezincescu

Publication date: 1986

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

zbMATH Keywords

density of statesdisordered potentialessential singularities of Lifschitz typetight-binding Schrödinger operator

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

Lifschitz singularities for periodic operators plus random potentials ⋮ Lifshitz tails and long-time decay in random systems with arbitrary disorder. ⋮ 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 ⋮ Spectral theory of random self-adjoint operators ⋮ Internal Lifschitz singularities for one dimensional Schrödinger operators

Cites Work

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• Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices
• Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians
• Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model
• Spectral properties of disordered systems in the one-body approximation
• Sur le spectre des opérateurs aux différences finies aléatoires
• On the spectral distribution of a disordered system and the range of a random walk
• ON THE SPECTRUM OF THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION WITH A RANDOM POTENTIAL

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