Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1

A. Samoilenko; A. Prykarpatsky; V. Samoylenko

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Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1

A. Samoilenko·A. Prykarpatsky·V. Samoylenko

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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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A. Samoilenko, A. Prykarpatsky, V. Samoylenko. 1999-10-13. Canonical Reduction of Symplectic Structures for the Maxwell and Yang-Mills Equations. Part 1. https://arxiv.org/abs/math-ph/9910018

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