关键词: Lorentz变换, 四元数, 八元数, 向量-张量

Abstract:

A special quaternion representation with a simple form is constructed for general Lorentz transformations. A unique character of the representation lies in that all components of the quaternions used are either real numbers or pure imaginary numbers. The construction has considerable advantages over the conventional vector-tensor and biquaternion description.

Key words: Lorentz transformation, Quaternion, Biquaternion, Vector-tensor