Lie symmetry and the conserved quantity of a generalized Hamiltonian system | Zendy

Mei Feng-Xiang | Zendy

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Lie symmetry and the conserved quantity of a generalized Hamiltonian system

Author(s) -

Mei Feng-Xiang

Publication year - 2003

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

ISSN - 1000-3290

DOI - 10.7498/aps.52.1048

Subject(s) - infinitesimal , hamiltonian system , hamiltonian (control theory) , mathematical physics , conservation law , conserved quantity , symmetry (geometry) , physics , classical mechanics , mathematics , pure mathematics , mathematical analysis , quantum mechanics , geometry , mathematical optimization

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.

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