Open AccessLIE SYMMETRIES OF CONSTRAINED HAMILTONIAN SYSTEM WITH THE SECOND TYPE OF CONSTRAINTS
Author(s) -
Zhang Yi,
Yun Xiao
Publication year - 2001
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.50.816
Subject(s) - homogeneous space , hamiltonian (control theory) , mathematical physics , hamiltonian system , type (biology) , physics , symmetry (geometry) , mathematics , pure mathematics , mathematical optimization , geometry , ecology , biology
We have studied the Lie symmetries of a constrained Hamiltonian system only with the second type of constraints,and establised the determining equations, the restriction equations and the additional restriction equations. The conditions under which a Lie symmetry can lead to a conserved quantity and the form of the quantity were given.