Hölder continuity of the spectral measures for one-dimensional Schrödinger operator in exponential regime

DOI10.1063/1.4904835zbMath1327.34143arXiv1311.0669OpenAlexW1987200196MaRDI QIDQ5499055

Wencai Liu, Xiao Ping Yuan

Publication date: 11 February 2015

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

Full work available at URL: https://arxiv.org/abs/1311.0669

zbMATH Keywords

Hölder continuityspectral measurequasi-periodic Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General spectral theory of ordinary differential operators (34L05)

Related Items (4)

Sharp Hölder continuity of the integrated density of states for extended Harper's model with a Liouville frequency ⋮ Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles ⋮ Quantitative inductive estimates for Green's functions of non-self-adjoint matrices ⋮ Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators

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