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Some remarks on Lagrangian and Poisson reduction for field theories

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Castrillón López, Marco and Marsden, Jerrold E. (2003) Some remarks on Lagrangian and Poisson reduction for field theories. Journal of geometry and physics, 48 (1). pp. 52-83. ISSN 0393-0440

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Official URL: http://www.sciencedirect.com/science/article/pii/S0393044003000251


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Abstract

Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equations is described. When the fiber bundle is a G-principal bundle and the Hamiltonian density is G-invariant, the reduction of this formulation is studied thus obtaining the analog of the Lie-Poisson reduction for field theories. The relation of this reduction with the Lagrangian reduction and the Lagrangian and Poisson reduction for electromagnetism are also analyzed.


Item Type:Article
Uncontrolled Keywords:Lagrangian and Poisson reduction; Field theories;Classical field theory.
Subjects:Sciences > Mathematics > Algebraic geometry
Sciences > Mathematics > Topology
ID Code:23323
Deposited On:22 Oct 2013 17:38
Last Modified:12 Dec 2018 15:13

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