Open AccessNon Noether conserved quantity of the holonomic mechanical systems in terms of quasi-coordinates ——An extension of Hojman theorem
Author(s) -
Qiao Yong-Fen,
Zhao Shu-Hong,
Renjie Li
Publication year - 2004
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.53.2035
Subject(s) - noether's theorem , holonomic , conserved quantity , extension (predicate logic) , mathematical physics , classical mechanics , physics , holonomic constraints , computer science , lagrangian , quantum mechanics , programming language
Using the Lie symmetry under infinitesimal transformations in which the time in not variable,a new conserved quantity of holonomic mechanical systems in terms of quasi-coordinates is studied.The differential equations of motion of the systems are established.Determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman theorem is generalized.Finally,an example is given to illustrate the application of the results.