Spectral homogeneity of limit-periodic Schrödinger operators

DOI10.4171/JST/166zbMath1378.34097arXiv1502.05454MaRDI QIDQ2360998

Milivoje Lukic, Jake Fillman

Publication date: 29 June 2017

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05454

zbMATH Keywords

Schrödinger operatorsJacobi matricesspectral theoryCMV matricesreflectionless operatorshomogeneous spectra

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (9)

Homogeneity of the spectrum for quasi-periodic Schrödinger operators ⋮ Sharp Hölder continuity of the integrated density of states for extended Harper's model with a Liouville frequency ⋮ Spectral approximation for ergodic CMV operators with an application to quantum walks ⋮ Ballistic transport for limit-periodic Schrödinger operators in one dimension ⋮ Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices ⋮ Multidimensional almost-periodic Schrödinger operators with Cantor spectrum ⋮ Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems ⋮ Reflectionless discrete Schrödinger operators are spectrally atypical ⋮ Construction of quasiperiodic Schrödinger operators with Cantor spectrum

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