Invariance and first integrals of canonical Hamiltonian equations

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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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Mathematical Physics, Dynamical Systems, 70H05, 70H33

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http://salesiana.dossiersoluciones.com/handle/123456789/230279

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.1361
 http://arxiv.org/abs/0809.1361

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arXiv