物理学报Issue(15)：1-7,7.DOI:10.7498/aps.62.154501
离散差分序列变质量 Hamilton 系统的 Lie 对称性与 Noether 守恒量*
The Noether conserved quantity of Lie symmetry for discrete difference sequence Hamilton system with variable mass*
摘要
Abstract
In this paper the Lie symmetry and Noether conserved quantity of a discrete difference sequence Hamilton system with variable mass are studied. Firstly, the difference dynamical equations of the discrete difference sequence Hamilton system with variable mass are built. Secondly, the determining equations and the definition of Lie symmetry for difference dynamical equations of the discrete difference sequence Hamilton system under infinitesimal transformation groups are given. Thirdly, the forms and conditions of Noether conserved quantities to which Lie symmetries will lead in a discrete mechanical system are obtained. Finally, an example is given to illustrate the application of the results.关键词
离散力学/Hamilton 系统/Lie 对称性/Noether 守恒量Key words
discrete mechanical system/Hamilton system/Lie symmetry/Noether conserved quantity引用本文复制引用
徐瑞莉,方建会,张斌..离散差分序列变质量 Hamilton 系统的 Lie 对称性与 Noether 守恒量*[J].物理学报,2013,(15):1-7,7.基金项目
山东省自然科学基金(批准号：ZR2011AM012)和中国石油大学(华东)研究生自主创新科研计划项目(批准号:13CX06005A)资助的课题.* Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2011AM012), and the Postgraduate’s Innovation research Foundation of China University of Petroleum (East China)(Grant No.13CX06005A) （批准号：ZR2011AM012）
