Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials
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Publication:2335838
DOI10.4171/JST/271zbMath1436.35095arXiv1701.00863MaRDI QIDQ2335838
Publication date: 15 November 2019
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.00863
Schrödinger operator, Schrödinger equation (35J10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
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Cites Work
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- Spectral properties of a limit-periodic Schrödinger operator in dimension two
- Mixed spectral regimes for square Fibonacci Hamiltonians
- Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks
- Spectral analysis on graph-like spaces
- Spectra of graphs
- Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum
- Absence of \(l^1\) eigenfunctions for lattice operators with fast local periodic approximation
- Generic singular spectrum for ergodic Schrödinger operators
- On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators
- Spectrum of multidimensional periodic operators
- Bethe-Sommerfeld conjecture
- The spectrum band structure of the three-dimensional Schrödinger operator with periodic potential
- Recent results in the theory of graph spectra
- Discrete Bethe-Sommerfeld conjecture
- Operators with singular continuous spectrum. I: General operators
- Asymptotic of the density of states for the Schrödinger operator with periodic electric potential
- Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian
- Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two
- The Ten Martini problem
- A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem
- An overview of periodic elliptic operators
- Schrödinger operators with dynamically defined potentials
- Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
- Absence of Eigenvalues for Quasi-Periodic Lattice Operators with Liouville Frequencies
- One-Dimensional Ergodic Schrödinger Operators
- Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals
- Operator Theory
- Perturbation theory for the Schrödinger operator with a periodic potential
