A Lax representation and integrability of homogeneous exact magnetic flows on spheres in all dimensions
Abstract
We consider motion of a material point placed in a constant homogeneous magnetic field restricted to the sphere Sn-1. We provide a Lax representation of the equations of motion and prove complete integrability of those systems for any n. The integrability is provided via first integrals of degree one and two.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.