Absolute continuity of spectra of two-dimensional periodic Schrödinger operators with strongly subordinate magnetic potentials

DOI10.1007/s10958-005-0344-3zbMath1148.35338OpenAlexW1998101316MaRDI QIDQ937900

Roman Shterenberg

Publication date: 18 August 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0344-3

zbMATH Keywords

periodic Schrödinger operatorsperiodic waveguideGauge transformationabsolute continuity of spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items

On the spectrum of a multidimensional periodic magnetic Shrödinger operator with a singular electric potential, Absolute continuity of the spectrum of a periodic 3D magnetic Schrödinger operator with singular electric potential, Spectrum of the Landau Hamiltonian with a periodic electric potential, On absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator, 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 a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential, Stein–Tomas theorem for a torus and the periodic Schrödinger operator with singular potential

Cites Work

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