The Landau-Hall problem on canal surfaces

DOI10.1016/j.jmaa.2014.01.027zbMath1308.81192OpenAlexW2007526124MaRDI QIDQ2338790

Marian Ioan Munteanu

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.01.027

zbMATH Keywords

canal surfacestubesLandau-Hall problemmagnetic curves

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Uses Software

• CandS

Cites Work

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• The parametrization of canal surfaces and the decomposition of polynomials into a sum of two squares
• On the existence of almost contact structure and the contact magnetic field
• On the Landau levels on the hyperbolic plane
• Kähler magnetic fields on a complex projective space
• Computing rational parametrizations of canal surfaces
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
• Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
• The Gauss-Landau-Hall problem on Riemannian surfaces
• Magnetic vortex filament flows
• The contact magnetic flow in 3D Sasakian manifolds
• Lines of principal curvature on canal surfaces in R³

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