On the spectrum of a limit-periodic Schrödinger operator

DOI10.1090/S1061-0022-06-00931-9zbMath1264.31006MaRDI QIDQ5485842

Alexander V. Sobolev, Maxim M. Skriganov

Publication date: 4 September 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

spectrumlimit-periodic potentialperturbed polyharmonic operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) General topics in linear spectral theory for PDEs (35P05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) General theory of partial differential operators (47F05)

Related Items (6)

Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two ⋮ Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two ⋮ Multiscale analysis in momentum space for quasi-periodic potential in dimension two ⋮ Spectral properties of polyharmonic operators with limit-periodic potential in dimension two ⋮ On polyharmonic operators with limit-periodic potential in dimension two ⋮ Extended states for polyharmonic operators with quasi-periodic potentials in dimension two

Cites Work

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• Asymptotic of the density of states for the Schrödinger operator with periodic electric potential
• On a lattice point problem arising in the spectral analysis of periodic operators
• N ‐fold sums of Cantor sets
• On the topological structure of the arithmetic sum of two Cantor sets
• Lattice points, perturbation theory and the periodic polyharmonic operator.

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