A nonprimitive substitution Schrödinger operator with generic singular continuous spectrum
DOI10.1016/S0034-4877(00)80009-9zbMath1002.11028OpenAlexW2036756374MaRDI QIDQ1580735
Marcus V. Lima, César R. de Oliveira
Publication date: 8 February 2001
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(00)80009-9
Combinatorics on words (68R15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Automata sequences (11B85) Linear difference operators (47B39)
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Cites Work
- Singular continuous spectrum on a Cantor set of zero Lebesgue measure for the Fibonacci Hamiltonian
- Spectral properties of a tight binding Hamiltonian with period doubling potential
- Substitution dynamical systems. Spectral analysis
- Singular continuous spectrum for a class of substitution Hamiltonians
- Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
- Operators with singular continuous spectrum. I: General operators
- Singular continuous spectrum for palindromic Schrödinger operators
- Some remarks on discrete aperiodic Schrödinger operators
- JACOBI MATRICES WITH RANDOM POTENTIALS TAKING FINITELY MANY VALUES
- Remarks on the spectral properties of tight-binding and Kronig-Penney models with substitution sequences
- Quantum return probability for substitution potentials
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