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arXiv · 0809.1361

Invariance and first integrals of canonical Hamiltonian equations

Vladimir Dorodnitsyn·Roman Kozlov
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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.

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Vladimir Dorodnitsyn, Roman Kozlov. 2009-05-15. Invariance and first integrals of canonical Hamiltonian equations. https://arxiv.org/abs/0809.1361

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