约束Birkhoff方程的形式不变性与Lie对称性

Form Invariance and Lie Symmetry of Constrained Birkhoffian Systems

  • 摘要: 研究约束 Birkhoff方程的形式不变性和 L ie对称性及其关系. 给出了形式不变性和 L ie对称性的定义和判据; 然后导出形式不变性与 L ie对称性的关系, 指出形式不变性与 L ie对称性的结构方程和守恒量有相同的形式; 最后, 给出一个说明性的例子.

     

    Abstract: Relation between the form invariance and Lie symmetry of constrained Birkhoffian systems is studied. First, the definitions and criterions of the form invariance and Lie symmetry in the systems are given. Next, the relation between them is expounded and proved. It is shown that the structure equation and conserved quantity of the form invariance and Lie symmetry of constrained Birkhoffian systems have the same form. Finally, an example is given to illustrate the application of the result.

     

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