Magnetic fields in 2D and 3D sphere

Magnetic fields in 2D and 3D sphere

In this note we study the Landau-Hall problem in the 2D and 3D unit sphere, that is, the motion of a charged particle in the presence of a static magnetic field. The magnetic flow is completely determined for any Riemannian surface of constant Gauss curvature, in particular, the unit 2D sphere. For...

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Bibliographic Details
Published in:Journal of nonlinear mathematical physics Vol. 20; no. 3; pp. 440 - 450
Main Author: Cabrerizo, Jose L.
Format: Journal Article
Language:English
Published: Taylor & Francis 03-07-2013
Subjects:
Killing field
Magnetic field
Riemannian manifold
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Summary:In this note we study the Landau-Hall problem in the 2D and 3D unit sphere, that is, the motion of a charged particle in the presence of a static magnetic field. The magnetic flow is completely determined for any Riemannian surface of constant Gauss curvature, in particular, the unit 2D sphere. For the 3D case we consider Killing magnetic fields on the unit sphere, and we show that the magnetic flowlines are helices with the given Killing vector field as its axis.
ISSN:1402-9251
1776-0852
1776-0852
DOI:10.1080/14029251.2013.855052