Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1
Mathematical Physics
2007-05-23 v1 Dynamical Systems
math.MP
Abstract
The canonical reduction algorithm is applied to Maxwell and Yang-Mills equations considered as Hamiltonian systems on some fiber bundles with symplectic and connection structures. The minimum interaction principle proved to have geometric origin within the reduction method devised.
Keywords
Cite
@article{arxiv.math-ph/9910018,
title = {Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1},
author = {A. Samoilenko and A. Prykarpatsky and V. Samoylenko},
journal= {arXiv preprint arXiv:math-ph/9910018},
year = {2007}
}
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12 pages