Some remarks on Lagrangian and Poisson reduction for field theories

JOURNAL OF GEOMETRY AND PHYSICS

卷:48

Article

López, MC ; Marsden, JE

关键词: Lagrangian and Poisson reduction;    field theories;   

DOI  :  10.1016/S0393-0440(03)00025-1

来源: Elsevier

【 摘 要 】

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. (C) 2003 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free