ON- AND OFF-DIAGONAL STURMIAN OPERATORS: DYNAMIC AND SPECTRAL DIMENSION

DOI10.1142/S0129055X12500110zbMath1250.81041arXiv1104.4299OpenAlexW3121757234MaRDI QIDQ2905750

Laurent Marin

Publication date: 28 August 2012

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

Full work available at URL: https://arxiv.org/abs/1104.4299

zbMATH Keywords

fractal dimensiondynamical boundquasi-periodical Schrödinger operator

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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items

Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals ⋮ Spectral approximation for quasiperiodic Jacobi operators ⋮ Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian

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