A family of almost periodic Schrödinger operators

DOI10.1016/0378-4371(84)90227-9zbMath0598.47054OpenAlexW2064233561MaRDI QIDQ1079797

George A. jun. Baker, Pierre Moussa, Daniel Bessis

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90227-9

zbMATH Keywords

Julia setalmost periodic Schrödinger operatorssupport of the spectrum

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (11)

Renormalization of random Jacobi operators ⋮ Function weighted measures and orthogonal polynomials on Julia sets ⋮ A stable Stieltjes technique for computing orthogonal polynomials and Jacobi matrices associated with a class of singular measures ⋮ Wave propagation in almost-periodic structures ⋮ Condensed Julia Sets, with an Application to a Fractal Lattice Model Hamiltonian ⋮ On computing Jacobi matrices associated with recurrent and Möbius iterated function systems ⋮ Orthogonal polynomials of equilibrium measures supported on Cantor sets ⋮ Quantum intermittency in almost-periodic lattice systems derived from their spectral properties ⋮ Unnamed Item ⋮ Orthogonal polynomials associated to almost periodic Schrödinger operators. A trend towards random orthogonal polynomials ⋮ Geometry and combinatorics of Julia sets of real quadratic maps

Cites Work

• Unnamed Item
• Orthogonality properties of iterated polynomial mappings
• On the invariant sets of a family of quadratic maps
• Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings
• Invariant sets under iteration of rational functions
• The Diophantine moment problem and the analytic structure in the activity of the ferromagnetic Ising model
• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field

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