Lie symmetry and the conserved quantity of a generalized Hamiltonian system

Mei Feng-Xiang

doi:10.7498/aps.52.1048

Abstract
For a generalized Hamiltonian system, a new conservation law derived by using the Lie symmetry is studies. Firstly, the differential equations of the system are given. Secondly, the Lie symmetry under special infinitesimal transformations is studied. Thirdly, the theorem of Hojman is generalized to this system. Finally, an example is given to illustrate the application of the result.

Keywords:
generalized Hamiltonian system /

Lie symmetry /

conserved quantity
Authors and contacts
Mei Feng-Xiang

1.
北京理工大学理学院,北京 100081
References

Cited By

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Vol. 52, Issue 5 - 2003-03-05

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