THE EXPONENTIAL LOCALIZATION AND STRUCTURE OF THE SPECTRUM FOR 1D QUASI-PERIODIC DISCRETE SCHRÖDINGER OPERATORS

DOI10.1142/S0129055X91000096zbMath0742.34074OpenAlexW2002901958MaRDI QIDQ3989453

V. A. Chulaevskij, Yakov G. Sinai

Publication date: 28 June 1992

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x91000096

zbMATH Keywords

potentialeigenfunctionsexponential localizationone-dimensional quasi-periodic Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (4)

On many-body localization for quantum spin chains ⋮ Iterative techniques for computing the linearized manifolds of quasiperiodic tori ⋮ Multi-scale Jacobi method for Anderson localization ⋮ Difference almost-periodic Schrödinger operators: Corollaries of localization

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