Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system | Zendy

Luo Shao-Kai | Zendy

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Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system

Author(s) -

Luo Shao-Kai

Publication year - 2003

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.52.2941

Subject(s) - noether's theorem , physics , hamiltonian (control theory) , mathematical physics , global symmetry , symmetry (geometry) , symmetry number , explicit symmetry breaking , symmetry operation , spontaneous symmetry breaking , quantum mechanics , classical mechanics , rotational symmetry , lagrangian , symmetry breaking , mathematics , geometry , mathematical optimization , mechanics

The Mei symmetry, i.e. the form invariance, of a Hamiltonian system is studied. The definition and the determining equation of Mei symmetry in the Hamiltonian system are given. The relations among the Mei symmetry, the Noether symmetry and the Lie symmetry are studied, and the conserved quantities of Hamiltonian system are obtained. An example is given to illustrate the application of the result.

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