The Schrodinger Equation with a Quasi-Periodic Potential

DOI10.2307/2001763zbMath0712.34094OpenAlexW4246920804MaRDI QIDQ3497441

Steve Surace

Publication date: 1990

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001763

zbMATH Keywords

Schrödinger equationpoint spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Perturbations of ordinary differential equations (34D10)

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Positive Lyapunov exponents for a class of ergodic Schrödinger operators ⋮ Localization and regularity of the integrated density of states for Schrödinger operators on \(\mathbb{Z}^d\) with \(C^2\)-cosine like quasi-periodic potential ⋮ Impurity bands and quasi-Bloch waves for a one-dimensional model of modulated crystal ⋮ Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials ⋮ On the spectrum of odd order self-adjoint ordinary differential operators on the real line with quasi-periodic coefficients ⋮ Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation ⋮ Absence of eigenvalues of analytic quasi-periodic Schrödinger operators on \({\mathbb{R}}^d\)

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