One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types
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Publication:1052749
DOI10.1016/0022-1236(83)90027-7zbMath0516.60069OpenAlexW2030687685MaRDI QIDQ1052749
Publication date: 1983
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(83)90027-7
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schrödinger operators with an electric field and random or deterministic potentials
- Subharmonicity of the Lyapunov index
- Sur le spectre des opérateurs aux différences finies aléatoires
- Exponential localization in one dimensional disordered systems
- The one-dimensional Schrödinger equation with a quasiperiodic potential
- A pure point spectrum of the stochastic one-dimensional Schrödinger operator
- Scattering theory for systems with different spatial asymptotics on the left and right
- Schrödinger semigroups
- Étude des opérateurs de Schrödinger à potentiel aléatoire en dimension 1
- THE STRUCTURE OF EIGENFUNCTIONS OF ONE-DIMENSIONAL UNORDERED STRUCTURES
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations