Open AccessForm invariance and non-Noether conserved quantity of generalized Raitzin’s canonical equations of non-conservative system
Author(s) -
Qiao Yong-Fen,
Zhao Shu-Hong
Publication year - 2006
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.55.499
Subject(s) - noether's theorem , conserved quantity , mathematical physics , canonical form , physics , canonical coordinates , classical mechanics , conserved current , lagrangian , mathematics , pure mathematics , quantum mechanics , phase space
The form invariance and the non-Noether conserved quantity of generalized Raitzin's canonical equations of non-conservative system are studied. The definition and criterion of the form invariance in the system under infinitesimal transformations are proposed. The necessary and sufficient condition under which the form invariance is a Lie symmetry is given. The Hojman theorem is established. Finally, an example is given to illustrate the application of the result.