1\(D\)-quasiperiodic operators. Latent symmetries
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Publication:1180238
DOI10.1007/BF02101881zbMath0735.34071MaRDI QIDQ1180238
V. A. Mandelshtam, Svetlana Ya. Jitomirskaya
Publication date: 27 June 1992
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
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Cites Work
- Unnamed Item
- Purely absolutely continuous spectrum for almost Mathieu operators
- Localization for a class of one dimensional quasi-periodic Schrödinger operators
- Almost periodic Schrödinger operators. II: The integrated density of states
- Cantor spectrum for the almost Mathieu equation
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Almost periodic Schrödinger operators. IV. The Maryland model
- Spectral properties of disordered systems in the one-body approximation
- The rotation number for almost periodic potentials
- The one-dimensional Schrödinger equation with a quasiperiodic potential
- Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential
- Anderson localization for Bernoulli and other singular potentials
- Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
- JACOBI MATRICES WITH RANDOM POTENTIALS TAKING FINITELY MANY VALUES
- The positivity of the Lyapunov exponent and the absence of the absolutely continuous spectrum for the almost-Mathieu equation
- Absence of localisation in the almost Mathieu equation
- Single Band Motion of Conduction Electrons in a Uniform Magnetic Field