Singular continuous spectrum for the period doubling Hamiltonian on a set of full measure

DOI10.1007/s002200050432zbMath0907.34074OpenAlexW2089128282MaRDI QIDQ1265739

David Damanik

Publication date: 27 September 1998

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

Full work available at URL: https://doi.org/10.1007/s002200050432

zbMATH Keywords

potentialdiscrete one-dimensional Schrödinger operatorperiod doubling substitution

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) General spectral theory of ordinary differential operators (34L05)

Related Items (8)

Derived sequences and the factor spectrum of the period-doubling sequence ⋮ Schrödinger operators with dynamically defined potentials ⋮ Local symmetries in the period-doubling sequence ⋮ Singular continuous spectrum for a class of nonprimitive substitution Schrödinger operators ⋮ Spectral continuity for aperiodic quantum systems: Applications of a folklore theorem ⋮ Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials ⋮ Substitution Hamiltonians with bounded trace map orbits ⋮ Local symmetry dynamics in one-dimensional aperiodic lattices: a numerical study

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