Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian

DOI10.1007/s00220-013-1753-7zbMath1276.81059arXiv1206.5561OpenAlexW3099979689MaRDI QIDQ382271

David Damanik, A. S. Gorodetskii

Publication date: 18 November 2013

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

Full work available at URL: https://arxiv.org/abs/1206.5561

Mathematics Subject Classification ID

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) Quantum equilibrium statistical mechanics (general) (82B10) Discrete version of topics in analysis (39A12) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

The spectral properties of the strongly coupled Sturm Hamiltonian of eventually constant type, Schrödinger operators with dynamically defined potentials, On the modulus of continuity for spectral measures in substitution dynamics, Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators, Continuum Schrödinger operators associated with aperiodic subshifts, The Fibonacci Hamiltonian, Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian

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