论文标题
零lagrangians和动作的不变性：精确的量规功能
Null Lagrangians and Invariance of Action: Exact Gauge Functions
论文作者
论文摘要
无效的Lagrangians及其规格功能是为给定标准和非标准的Lagrangians得出的。获得的标准null Lagrangians概括了先前发现的那些，但非标准的null Lagrangians是新的。量规函数用于使动作不变，并引入了确切的null Lagrangians，该拉格朗日人形成了一个新的零lagrangian家族。该动作不变所需的条件是针对本文介绍的所有无效拉格朗日人得出的，因此使其确切。作为特定应用，确切的零lagrangians是为二阶普通微分方程得出的。该申请表明，可以使用已知的Lagrangian的任何普通微分方程获得确切的零Lagrangians。
Null Lagrangians and their gauge functions are derived for given standard and non-standard Lagrangians. The obtained standard null Lagrangians generalize those previously found but the non-standard null Lagrangians are new. The gauge functions are used to make the action invariant and introduce the exact null Lagrangians, which form a new family of null Lagrangians. The conditions required for the action to be invariant are derived for all null Lagrangians presented in this paper, thus, making them exact. As a specific application, the exact null Lagrangians are derived for a second-order ordinary differential equation. The application shows that the exact null Lagrangians can be obtained for any ordinary differential equation with known Lagrangian.
