On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator

DOI10.1088/1751-8113/42/27/275204zbMath1173.35615arXiv0902.3371OpenAlexW1964264176MaRDI QIDQ5192066

Leonid I. Danilov

Publication date: 4 August 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3371

zbMATH Keywords

spectrumperiodic magnetic Schrödinger operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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On the spectrum of a multidimensional periodic magnetic Shrödinger operator with a singular electric potential ⋮ Absence of eigenvalues for the periodic Schrödinger operator with singular potential in a rectangular cylinder ⋮ Absolute continuity of the spectrum of a periodic 3D magnetic Schrödinger operator with singular electric potential ⋮ On absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator ⋮ Absolute continuity of the spectrum of the periodic Schrödinger operator in a cylinder with Robin boundary condition ⋮ Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder ⋮ An overview of periodic elliptic operators ⋮ On the spectrum of a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential

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