AI 中文总结
研究如何计算维格纳角，通过回顾其公式的矢量、矩阵和旋量推导，讨论背后数学物理，表明虽推导不同但结果等效，正确看待该问题不难解决。
AI 中文摘要
时间和二维空间中的洛伦兹变换由推进和旋转及其组合构成。一般来说，两个推进的组合不是另一个推进，而是一个推进后接一个旋转，这个旋转角度就是维格纳角。确定组合推进的能量和方向很简单，但确定维格纳角却很难。本文回顾了维格纳角公式的矢量、矩阵和旋量推导，并简要讨论了其背后的数学和物理。虽然推导不同，但结果等效。像许多物理问题一样，用正确的方式看待就不难解决。
英文摘要
Lorentz transformations in time and two space dimensions consist of boosts and rotations, and combinations thereof. In general, the combination of two boosts is not another boost: It is a boost followed by a rotation. The rotation angle is called the Wigner angle. Although it is straightforward to determine the energy and direction of the combined boost, it is difficult to determine the Wigner angle. In this article, the vector, matrix and spinor derivations of formulas for the Wigner angle are reviewed, and the underlying mathematics and physics are discussed briefly. Although the derivations are different, the results they produce are equivalent, as they should be. Like many physics problems, if one looks at the problem in the right way, it is not difficult to solve.
