Open AccessLutzky conserved quantities and velocity-dependent symmetries for systems with unilateral holonomic constraints
Author(s) -
Zhang Yi
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.55.2109
Subject(s) - conserved quantity , holonomic constraints , homogeneous space , holonomic , symmetry (geometry) , physics , lie group , conservation law , mathematical physics , lagrangian , constraint (computer aided design) , mechanical system , remainder , classical mechanics , analytical mechanics , mathematics , pure mathematics , computer science , quantum mechanics , quantum , geometry , arithmetic , artificial intelligence , quantum dynamics
This paper studies the symmetries and the conserved quantities for systems with unilateral holonomic constraints. The definitions of Lie symmetries for the systems are given, and the Lutzky conserved quantities are directly deduced from the general velocity-dependent Lie symmetries of the systems. The Lutzky conserved quantities of some special cases, for example, the holonomic systems with remainder coordinetes, the non-conservative mechanical systems, and the Lagrangian systems, are given. At the end of the paper, two examples are given to illustrate the application of the results.