Lorentz变换的四元数表示

Quaternion Representation of Lorentz Transformation

本文研究Lorentz变换的四元数表示.在四元数矩阵表示及其乘法有条件交换性的基础上,导出了Lorentz变换的矩阵表示和四元数表示之间的关系;讨论了正常Lorentz变换分解和两个纯Lorentz变换的合成问题.

In this paper, the quaternion representations of Lorentz transformation are studied. Based on the matrix representations of quaternion and the conditional commutativity of quaternion multiplication the relation between the matrix representation and the quaternion representation of Lorentz transformation are derived. The decomposition of a proper Lorentz transformation is the composition of two pure Lorentz transformations are discussed.