离散差分序列变质量 Hamilton 系统的 Lie 对称性与 Noether 守恒量*OA北大核心CSCDCSTPCD
The Noether conserved quantity of Lie symmetry for discrete difference sequence Hamilton system with variable mass*
本文研究离散差分序列变质量 Hamilton 系统的 Lie 对称性与 Noether 守恒量。构建了离散差分序列变质量Hamilton 系统的差分动力学方程，给出了离散差分序列变质量 Hamilton 系统差分动力学方程在无限小变换群下的Lie 对称性的确定方程和定义，得到了离散力学系统 Lie 对称性导致 Noether 守恒量的条件及形式，举例说明结果的应用。
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…查看全部>>
徐瑞莉;方建会;张斌
中国石油大学理学院，青岛 266555中国石油大学理学院，青岛 266555中国石油大学理学院，青岛 266555
离散力学Hamilton 系统Lie 对称性Noether 守恒量
discrete mechanical systemHamilton systemLie symmetryNoether conserved quantity
《物理学报》 2013 (15)
1-7,7
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)
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