Non-Lagrangian Construction of Hamiltonian Structures

Details Non-Lagrangian Construction of Hamiltonian Structures Non-Lagrangian Construction of Hamiltonian Structures

1994-06-23

arxiv.org/abs/hep-th/9406158v1

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, UCH-FT940214 , (LaTeX)

Scientific paper

A method to construct Hamiltonian theories for systems of both ordinary and partial differential equations is presented. The knowledge of a Lagrangian is not at all necessary to achieve the result. The only ingredients required for the construction are one solution of the symmetry (perturbation) equation and one constant of the motion of the original system. It turns out that the Poisson bracket structure for the dynamical variables is far from being uniquely determined by the differential equations of motion. Examples in classical mechanics as well as in field theory are presented.

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