%A Fang Jian-Hui (方建会), Liao Yong-Pan (廖永潘), Peng Yong (彭勇) %T The Lie symmetrical non-Noether conserved quantity of holonomic Hamiltonian system %0 Journal Article %D 2004 %J Chin. Phys. B %R 10.1088/1009-1963/13/10/007 %P 1620-1622 %V 13 %N 10 %U {https://cpb.iphy.ac.cn/CN/abstract/article_107391.shtml} %8 2004-10-20 %X In this paper, we study the Lie symmetrical non-Noether conserved quantity of a holonomic Hamiltonian system under the general infinitesimal transformations of groups. Firstly, we establish the determining equations of Lie symmetry of the system. Secondly, the Lie symmetrical non-Noether conserved quantity of the system is deduced. Finally, an example is given to illustrate the application of the result.