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Completely Integrable Hamiltonian Systems Generated by Poisson |
LEI De-Chao;ZHANG Xiang |
Department of Mathematics, Shanghai Jiaotong University,Shanghai 200240 |
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Cite this article: |
LEI De-Chao, ZHANG Xiang 2005 Chin. Phys. Lett. 22 2735-2737 |
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Abstract The completely integrable Hamiltonian systems have been applied to physics and mechanics intensively. We generate a family of completely integrable Hamiltonian systems from some kinds of exact Poisson structures in R3 by the realization of the Poisson algebra. Moreover, we prove that there is a Poisson algebra which cannot be realized by an exact Poisson structure.
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Keywords:
02.30.Hg
02.30.Ik
05.45.-a
03.65.Db
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Published: 01 November 2005
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