Spectral analysis of tridiagonal Fibonacci Hamiltonians

DOI10.4171/JST/39zbMath1276.47036arXiv1111.0953MaRDI QIDQ1943726

William N. Yessen

Publication date: 20 March 2013

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0953

zbMATH Keywords

spectral theoryquasiperiodicityJacobi operatorstrace mapsFibonacci Hamiltonians

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Spectrum, resolvent (47A10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items

Quantum and spectral properties of the Labyrinth model, Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. I: The essential support of the measure, Spectral properties of continuum Fibonacci Schrödinger operators, Properties of 1D classical and quantum Ising models: rigorous results, On the spectrum of 1D quantum Ising quasicrystal, Continuum Schrödinger operators associated with aperiodic subshifts, Schrödinger operators generated by locally constant functions on the Fibonacci subshift, Purely singular continuous spectrum for CMV operators generated by subshifts, Spectral approximation for quasiperiodic Jacobi operators, The Fibonacci Hamiltonian

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