广义Hamilton系统的Lie对称性与守恒量

Lie symmetry and the conserved quantity of a generalized Hamiltonian system

研究广义Hamilton系统Lie对称性导致的新型守恒量 .首先 ,建立系统的微分方程 .其次 ,研究一类特殊无限小变换下系统的Lie对称性 .第三 ,将Hojman定理推广到广义Hamilton系统 .最后 。

For a generalized Hamiltonian system, a new conservation law derived by using the Lie symmetry is studies. Firstly, the differential equations of the system are given. Secondly, the Lie symmetry under special infinitesimal transformations is studied Thirdly, the theorem of Hojman is generalized to this system. Finally, an example is given to illustrate the application of the result.