Acta Physica Sinica · 2001 · 22 citations · 0 references
Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsQuantum MechanicsHamiltonian MechanicsHamiltonian SystemsLie AlgebrasLie GroupsConstraint EquationsConstraints In Hamiltonian SystemsHamiltonian Constraint SystemsHamiltonian FormulationHamiltonian Systems With SymmetrySymmetries
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.