高维增广相空间中广义力学系统的对称性和不变量

SYMMETRY AND INVARIANT IN GENERALIZED MECHANICAL SYSTEMS IN THE HIGH-DIMENSIONAL EXTENDED PHASE SPACE

依据广义增广相空间中的Hamilton作用量在无穷小变换群作用下的不变性 ,给出广义完整保守和非保守力学系统的对称性和不变量及有关结论的逆命题 。

By means of the invariance of Hamilton's action under infinitesimal transformation in the high-dimensional extended phase space, the symmetry and invariant of the generalized holonomic conservative and nonconservative mechanical systems and some related propositions are obtained, Finally one example is given.