One-dimensional Schrödinger operators with random decaying potentials

DOI10.1007/BF01466772zbMath0646.60071MaRDI QIDQ1103972

B. George

Publication date: 1988

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

zbMATH Keywords

random Schrödinger operatorslattice casespectrum from pure point type to absolutely continuous type

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cites Work

• Kotani theory for one dimensional stochastic Jacobi matrices
• Some Jacobi matrices with decaying potential and dense point spectrum
• One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types
• Appearance of a purely singular continuous spectrum in a class of random Schrödinger operators
• Ergodic theory of differentiable dynamical systems
• Exponential localization in one dimensional disordered systems
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• THE STRUCTURE OF EIGENFUNCTIONS OF ONE-DIMENSIONAL UNORDERED STRUCTURES
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