Spectral properties of a limit-periodic Schrödinger operator in dimension two

DOI10.1007/s11854-013-0014-1zbMath1388.35133arXiv1008.4632OpenAlexW2073558530MaRDI QIDQ393408

Young-Ran Lee, Yulia E. Karpeshina

Publication date: 17 January 2014

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4632

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (7)

Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two ⋮ Approximate normal forms via Floquet-Bloch theory: Nehorošev stability for linear waves in quasiperiodic media ⋮ Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices ⋮ Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two ⋮ Multidimensional Schrödinger operators whose spectrum features a half-line and a Cantor set ⋮ Multidimensional almost-periodic Schrödinger operators with Cantor spectrum ⋮ Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials

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