Invariance and first integrals of canonical Hamiltonian equations
Mathematical Physics
2009-05-15 v2 Dynamical Systems
math.MP
Abstract
In this paper we consider the relation between symmetries and first integrals of canonical Hamiltonian equations. Based on a newly established identity (which is an analog of well known Noether's identity for Lagrangian approach), this approach provides a simple and clear way to construct first integrals with the help of symmetries of a Hamiltonian. The approach is illustrated by a number of examples, including equations of the three-dimensional Kepler motion.
Keywords
Cite
@article{arxiv.0809.1361,
title = {Invariance and first integrals of canonical Hamiltonian equations},
author = {Vladimir Dorodnitsyn and Roman Kozlov},
journal= {arXiv preprint arXiv:0809.1361},
year = {2009}
}