由速度变换关系推导洛伦兹变换关系

Deduction of Lorenz transformation relation from velocity transformation relation

电动力学教科书一般利用间隔不变性等概念来推导洛伦兹变换,而这些概念对于初学者而言不太容易理解和掌握.根据相对性原理,由两惯性参考系间一般的线性变换关系建立两惯性参考系间一般的速度变换关系,再利用光速不变原理可以求出两惯性参考系间的速度变换公式,由此可以得到洛伦兹变换关系.该方法推导简单,物理意义明确,便于初学者理解和掌握狭义相对论.

Electrodynamics textbooks generally use concepts such as interval invariance to deduce Lorentz transformation,which are not easy for beginners to understand and master.According to the principle of relativity,the general velocity transformation formula between two inertial reference frames is established by the general linear transformation relationship between two inertial reference frames,and then the velocity transformation formula and Lorentz transformation relationship between two inertial reference frames can be obtained by using the principle of invariable speed of light.The method is simple in derivation and definite in physical meaning,which is convenient for beginners to understand and master special relativity.