Ballistic motion in one-dimensional quasi-periodic discrete Schrödinger equation
From MaRDI portal
Publication:329946
DOI10.1007/s00220-016-2605-zzbMath1366.34019arXiv1507.08909OpenAlexW2963322254MaRDI QIDQ329946
Publication date: 24 October 2016
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.08909
Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary lattice differential equations (34A33)
Related Items
Approximate normal forms via Floquet-Bloch theory: Nehorošev stability for linear waves in quasiperiodic media, Ballistic transport for limit-periodic Schrödinger operators in one dimension, Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators, Ballistic transport in one-dimensional quasi-periodic continuous Schrödinger equation, Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems, Ballistic transport and absolute continuity of one-frequency Schrödinger operators, Dispersive estimates for periodic discrete one-dimensional Schrödinger operators, On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms, Dispersive estimate for two-periodic discrete one-dimensional Schrödinger operator, Dispersive estimate for quasi-periodic Schrödinger operators on \(1-d\) lattices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Absolute continuity of the rotation number for quasi-periodic co-cycles in \(\mathrm{SL}(2,\mathbb R)\)
- The rotation number for finite difference operators and its properties
- Hölder continuity of the rotation number for quasi-periodic co-cycles in \({SL(2, \mathbb R)}\)
- Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
- An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
- Kotani theory for one dimensional stochastic Jacobi matrices
- Absence of ballistic motion
- The rotation number for almost periodic potentials
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
- Dynamical localization for discrete and continuous random Schrödinger operators
- Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension
- Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems
- Quantum dynamics and decompositions of singular continuous spectra
- On transport properties of isotropic quasiperiodic \(XY\) spin chains
- Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs
- The positivity of the Lyapunov exponent and the absence of the absolutely continuous spectrum for the almost-Mathieu equation
- Integrability of hamiltonian systems on cantor sets
- Motion in periodic potentials
- STRONG DYNAMICAL LOCALIZATION FOR THE ALMOST MATHIEU MODEL
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
- Multi-scale analysis implies strong dynamical localization