The Motion of a Charged Particle on a Riemannian Surface Under a Non-Zero Magnetic Field
| dc.creator | Castilho, Cesar | |
| dc.date | 1999-08-06 | |
| dc.date.accessioned | 2026-07-25T22:35:31Z | |
| dc.description | In this paper we study the motion of a charged particle on a Riemannian surface under the influence of a positive magnetic field B. Using Moser's Twist Theorem and ideas from classical pertubation theory we find sufficient conditions to perpetually trap the motion of a particle with a sufficiently large charge in a neighborhood of a level set of the magnetic field. The conditions on the level set of the magnetic field that guarantee the trapping are local and hold near all non-degenerate critical local minima or maxima of B. Using symplectic reduction we apply the results of our work to certain S^1 - invariant magnetic fields on R^3. | |
| dc.identifier | https://arxiv.org/abs/math-ph/9908010 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9908010 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/90566 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 58F05;58F22 | |
| dc.title | The Motion of a Charged Particle on a Riemannian Surface Under a Non-Zero Magnetic Field | |
| dc.type | text |