Ballistic motion in one-dimensional quasi-periodic discrete Schrödinger equation

DOI10.1007/s00220-016-2605-zzbMath1366.34019arXiv1507.08909OpenAlexW2963322254MaRDI QIDQ329946

Mohammad Hasan, M. Dambrine

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

zbMATH Keywords

linear growthquasi-periodic potentialdiffusion normdiscretized Schrödinger equation

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary lattice differential equations (34A33)

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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

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