Cantor spectrum and singular continuity for a hierarchical Hamiltonian

DOI10.1007/BF01256499zbMath0687.35062MaRDI QIDQ1263011

Roberto Livi, András Sütő, Herve Kunz

Publication date: 1989

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

zbMATH Keywords

Green's functionsdiscrete Schrödinger operatorrenormation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials ⋮ The limit-periodic finite-difference operator on \(l^ 2(\mathbf Z)\) associated with iterations of quadratic polynomials. ⋮ Scalar spectral measures associated with an operator-fractal ⋮ Power-law bounds on transfer matrices and quantum dynamics in one dimension. II ⋮ Spectral properties of one dimensional quasi-crystals ⋮ Repeller structure in a hierarchical model. I: Topological properties ⋮ Repeller structure in a hierarchical model. II: Metric properties ⋮ Construction of quasiperiodic Schrödinger operators with Cantor spectrum ⋮ Spectral properties of a tight binding Hamiltonian with period doubling potential

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