Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential

DOI10.1007/S00208-009-0452-3zbMath1194.47052arXiv0904.2891OpenAlexW2143147588MaRDI QIDQ971903

Frédéric Klopp

Publication date: 17 May 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.2891

zbMATH Keywords

Landau Hamiltoniangeneric periodic potential

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

On the spectrum of a multidimensional periodic magnetic Shrödinger operator with a singular electric potential ⋮ Spectrum of the Landau Hamiltonian with a periodic electric potential ⋮ On the spectrum of a relativistic Landau Hamiltonian with a periodic electric potential ⋮ On the spectrum of a Landau Hamiltonian with a periodic electric potential $V\in L^p_{\mathrm {loc}}(\mathbb{R}^2)$, $p>1$ ⋮ On the spectrum of an Even periodic Schrödinger operator with a rational magnetic flux ⋮ 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

Cites Work

• Semianalytic and subanalytic sets
• Absolute continuity of the periodic magnetic Schrödinger operator
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