洛伦兹群的伽利略方法
The Lorentz Group, a Galilean Approach
摘要:
我们提出了一个教学方法的洛伦兹群。首先,我们引入一个紧凑的符号来表示旋转群的基本表示的元素,并导出一个新颖而紧凑的形式的洛伦兹坐标变换。我们还展示了如何对电磁场进行洛伦兹变换。为了处理非惯性系统,引入了协变时间导数。这些结果的有用性,如旋转系统和托马斯进动的例子,也提出了
英文摘要:
We present a pedagogical approach to the Lorentz group. We start by introducing a compact notation to express the elements of the fundamental representation of the rotations group.Lorentz coordinate transformations are derived in a novel and compact form. We show how to make a Lorentz transformation on the electromagnetic fields as well. A covariant time-derivative is introduced in order to deal with non-inertial systems. Examples of the usefulness of these results such as the rotating system and the Thomas precession, are also presented
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