论文标题
runge-lenz vector作为$ \ mathbb {r}^{4} {4} \ times \ mathbb {r}^{4} $ stape so（4）MONM MAP的3D投影
Runge-Lenz Vector as a 3d Projection of SO(4) Moment Map in $\mathbb{R}^{4}\times\mathbb{R}^{4}$ Phase Space
论文作者
论文摘要
我们使用几何代数的方法表明，开普勒问题中的runge-lenz载体是SO（4）矩图的3维投影，该投影作用于4维粒子运动的相空间。因此，rl向量是$ \ mathbb {r}^4 \ times \ mathbb {r}^4 $相位空间的几何对称性的结果。
We show, using the methods of geometric algebra, that Runge-Lenz vector in the Kepler problem is a 3-dimensional projection of SO(4) moment map that acts on the phase space of 4-dimensional particle motion. Thus, RL vector is a consequence of geometric symmetry of $\mathbb{R}^4\times \mathbb{R}^4$ phase space.
