1994/06/23 by Sergio A. Hojman, Hojman, Sergio A.
Engineering · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Control and Stability of Dynamical Systems #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Numerical methods for differential equations #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9406158
22 pages, UCH-FT940214 , (LaTeX)
arxiv created 1994/06/23 · openalex publication_date 1994/06/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.