Localization in one-dimensional quasi-periodic nonlinear systems
DOI10.1007/s00039-014-0256-9zbMath1293.35335OpenAlexW2147070729MaRDI QIDQ2453448
Jiansheng Geng, Zhiyan Zhao, Jiangong You
Publication date: 6 June 2014
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00039-014-0256-9
Schrödinger equationKAM theoremAnderson localizationHartree-Fock theoryDiophantine conditionAubry-André modelGross-Pitaevskii (GP) equation
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) PDEs in connection with statistical mechanics (35Q82)
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