Examples of discrete Schrödinger operators with pure point spectrum
From MaRDI portal
Publication:788913
DOI10.1007/BF01211953zbMath0532.35070OpenAlexW2036441968MaRDI QIDQ788913
Publication date: 1983
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01211953
General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Difference operators (39A70) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (33)
Structure of the spectrum of a lacunary-limit-periodic Schrödinger operator ⋮ Dense point spectra of Schrödinger and Dirac operators ⋮ Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials ⋮ Limit-periodic Schrödinger operators on \(\mathbb Z^d\): uniform localization ⋮ On the stability of dense point spectrum for self-adjoint operators ⋮ Limit-periodic solutions of difference and differential systems without global lipschitzianity restrictions ⋮ Ballistic transport for limit-periodic Schrödinger operators in one dimension ⋮ Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices ⋮ Localization for almost-periodic operators with power-law long-range hopping: a Nash-Moser iteration type reducibility approach ⋮ Stability of the gapless pure point spectrum of self-adjoint operators ⋮ Dynamics and spectral theory of quasi-periodic Schrödinger-type operators ⋮ Localization of polynomial long-range hopping lattice operator with uniform electric fields ⋮ Diagonalization in a quantum kicked rotor model with non-analytic potential ⋮ Limit-periodic Schrödinger operators with Lipschitz continuous IDS ⋮ Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two ⋮ Semiclassical asymptotic behavior of orthogonal polynomials ⋮ The spectrum of skew-shift Schrödinger operators contains intervals ⋮ Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems ⋮ Reflectionless discrete Schrödinger operators are spectrally atypical ⋮ Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents ⋮ Examples of discrete operators with a pure point spectrum of finite multiplicity ⋮ Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential ⋮ Quantum quasiballistic dynamics and thick point spectrum ⋮ Unnamed Item ⋮ Localization for a class of discrete long-range quasi-periodic operators ⋮ Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices ⋮ A review of recent work on almost periodic differential and difference operators ⋮ Localization in \(\nu\)-dimensional incommensurate structures ⋮ One-dimensional Schrödinger operators with random potentials: a survey ⋮ Limit-periodic Schrödinger operators with uniformly localized eigenfunctions ⋮ Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems ⋮ On the point spectrum of discrete Schrödinger operator ⋮ An exactly solvable model of a multidimensional incommensurate structure
Cites Work
- Pure point spectrum for discrete almost periodic Schrödinger operators
- A metal-insulator transition for the almost Mathieu model
- Localization in \(\nu\)-dimensional incommensurate structures
- Almost periodic Schrödinger operators. I: Limit periodic potentials
- Spectral behavior of quasi periodic potentials
- Convergent series expansions for quasi-periodic motions
This page was built for publication: Examples of discrete Schrödinger operators with pure point spectrum