POISSON BRACKETS AND THE FEYNMAN PROBLEM

Authors
Citation
P. Bracken, POISSON BRACKETS AND THE FEYNMAN PROBLEM, International journal of theoretical physics, 35(10), 1996, pp. 2125-2138
Citations number
8
Categorie Soggetti
Physics
ISSN journal
00207748
Volume
35
Issue
10
Year of publication
1996
Pages
2125 - 2138
Database
ISI
SICI code
0020-7748(1996)35:10<2125:PBATFP>2.0.ZU;2-D
Abstract
A derivation of a pair of Maxwell equations which is based on the conc ept of a Poisson structure on a manifold is given. The idea is geometr ic in character, and is extended to a generalized algebra. The special case of the dynamics for a particle in a Yang-Mills field is obtained as a consequence of the generalized case.