Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1
A. Samoilenko, A. Prykarpatsky, V. Samoylenko
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.
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