Invariance and first integrals of canonical Hamiltonian equations

Details Invariance and first integrals of canonical Hamiltonian equations Invariance and first integrals of canonical Hamiltonian equations

2008-09-08

arxiv.org/abs/0809.1361v2

Physics

Mathematical Physics

Scientific paper

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.

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