离散完整力学系统的Mei对称性共形不变性

Conformal Invariance of Mei Symmetry for Discrete Holonomic Systems

基于离散完整系统的差分Euler-Lagrange方程,研究离散完整力学系统的Mei对称性共形不变性和守恒量.提出了该系统Mei对称性共形不变性的定义和确定方程.结合规范函数和共形因子,得到在无限小单参数点变换群作用下系统的共形不变性导致的守恒量形式.举例说明结果的应用.

Based the difference Euler-Lagrange equations on regular lattices, the conformal invariance of the Mei symme-try and the conserved quantities are investigated for discrete holonomic systems. The conformal invariance of the Mei symmetry is defined for the discrete holonomic systems. The criterion equations and the determining equations are proposed. The con-served quantities of the systems are derived from the structure equation governing the gauge function. An example is given to il-lustrate the application of the results.