Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials

DOI10.1007/BF02786553zbMath1173.81315arXivmath-ph/0105034MaRDI QIDQ1034832

David Damanik, Daniel H. Lenz

Publication date: 8 November 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0105034

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (9)

Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials ⋮ Quantum Hamiltonians with quasi-ballistic dynamics and point spectrum ⋮ Spectral characteristics of Schrödinger operators generated by product systems ⋮ Bound states in the continuum in quasiperiodic systems ⋮ Schrödinger operators with dynamically defined potentials ⋮ Substitution dynamical systems: characterization of linear repetitivity and applications ⋮ A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem ⋮ Schrödinger operators generated by locally constant functions on the Fibonacci subshift ⋮ Spectral continuity for aperiodic quantum systems: Applications of a folklore theorem

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