| Full text | |
| Author(s): |
Torrome, Ricardo Gallego
[1, 2]
Total Authors: 1
|
| Affiliation: | [1] Univ Lancaster, Dept Phys, Lancaster LA1 4YB - England
[2] Cockcroft Inst, Warrington, Cheshire - England
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 86, p. 43-65, DEC 2014. |
| Web of Science Citations: | 0 |
| Abstract | |
It is shown that the Lorentz force equation is equivalent to the auto-parallel condition (L)del((x)over dot)(x)over dot = 0 of a linear connection (L)del defined on a convenient pull-back vector bundle. By using a geometric averaging method, an associated averaged Lorentz connection <(L)del > and the corresponding auto-parallel equation are obtained. After this, it is shown that in the ultra-relativistic limit and for narrow one-particle probability distribution functions, the auto-parallel curves of <(L)del > remain nearby close to the auto-parallel curves of (L)del. Applications of this result in beam dynamics and plasma physics are briefly described. (C) 2014 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 10/11934-6 - GLOBAL ASPECTS IN FINSLER AND LORENTZIAN GEOMETRY |
| Grantee: | Ricardo Gallego Torrome |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |