The Hölder continuity of spectral measures of an extended CMV matrix

DOI10.1063/1.4895762zbMath1297.81076arXiv1301.0501OpenAlexW3099888944WikidataQ42907003 ScholiaQ42907003MaRDI QIDQ2924911

Darren C. Ong, Paul E. Munger

Publication date: 20 October 2014

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

Full work available at URL: https://arxiv.org/abs/1301.0501

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Lipschitz (Hölder) classes (26A16) Eigenvalues, singular values, and eigenvectors (15A18) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (7)

Characterizations of uniform hyperbolicity and spectra of CMV matrices ⋮ Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients ⋮ Spectral properties of continuum Fibonacci Schrödinger operators ⋮ Continuum Schrödinger operators associated with aperiodic subshifts ⋮ Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications ⋮ Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators ⋮ Subordinacy theory for extended CMV matrices

Cites Work

• Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. I: The essential support of the measure
• Uniform spectral properties of one-dimensional quasicrystals. III: \(\alpha\)-continuity.
• Power law subordinacy and singular spectra. II: Line operators.
• Uniform spectral properties of one-dimensional quasicrystals. I: Absence of eigenvalues
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications
• Weyl--Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle
• Quantum dynamics and decompositions of singular continuous spectra
• Effective Hamiltonians for Constrained Quantum Systems
• Unnamed Item

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