The Motion of a Charged Particle on a Riemannian Surface under a Non-Zero Magnetic Field

The full text article is not available for purchase.

The publisher only permits individual articles to be downloaded by subscribers.

Abstract:

In this paper we study the motion of a charged particle on a Riemmanian 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 sufficient 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 S1-invariant magnetic fields on ℝ3. Copyright 2001 Academic Press.

Document Type: Research Article

Affiliations: Departamento de Matemática, Universidade Federal de Pernambuco, Recife, PE, CEP 50740-540, Brazil

Publication date: March 1, 2001

Related content

Tools

Favourites

Share Content

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
X
Cookie Policy
ingentaconnect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more