Continuum Schrödinger operators associated with aperiodic subshifts

DOI10.1007/s00023-013-0264-6zbMath1292.81052arXiv1212.5844OpenAlexW2045637203MaRDI QIDQ2249427

Jake Fillman, A. S. Gorodetskii, David Damanik

Publication date: 1 July 2014

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5844

zbMATH Keywords

continuum Schrödinger operatorsaperiodic subshiftsalmost sure absolutely continuous spectrumFibonacci subshiftlocal Hausdorff dimension of the spectrum

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)

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