Open AccessNoether symmetry and Mei symmetry of discrete holonomic system in phase space
Author(s) -
Lu Kai,
Jianhui Fang,
Mingjiang Zhang,
Peng Wang
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.7421
Subject(s) - noether's theorem , symmetry (geometry) , conserved quantity , holonomic constraints , holonomic , mathematical physics , physics , phase space , conservation law , homogeneous space , conserved current , space (punctuation) , classical mechanics , mathematics , quantum mechanics , lagrangian , geometry , computer science , operating system
The Noether symmetry, the Mei symmetry and the conserved quantities of discrete holonomic system in phase space are studied in this paper. Using the difference discrete variational approach, the difference discrete variational principle of discrete holonomic system in phase space is derived. The discrete canonical equations and energy evolution equation are established. The criterion of Noether symmetry and Mei symmetry of the system are given. The discrete Noether and Mei conserved quantities and the conditions for their existence are obtained. An example is discussed to show the applications of the results.