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物理学报  2001 

LIE SYMMETRIES OF CONSTRAINED HAMILTONIAN SYSTEM WITH THE SECOND TYPE OF CONSTRAINTS
仅含第二类约束的约束Hamilton系统的Lie对称性

Keywords: singular system,canonical variable,constraint,Lie symmetry,conserved quantity
奇异系统
,正则变量,约束,Lie对称性,守恒量

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Abstract:

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.

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