推导相对论动量和能量
Deriving relativistic momentum and energy
摘要:
本文给出了相对论粒子动量和能量表达式的一种新的推导方法。与教科书中通常采用的方法不同,这里提出的方法只需要知道一维速度的合成定律,而不使用相对论质量的概念或四维矢量的形式。基本思想是非常普遍的,也可以应用于不同于牛顿和爱因斯坦的运动学,以构建相应的动力学。
英文摘要:
We present a new derivation of the expressions for momentum and energy of a relativistic particle. In contrast to the procedures commonly adopted in textbooks, the one suggested here requires only the knowledge of the composition law for velocities along one spatial dimension, and does not make use of the concept of relativistic mass, or of the formalism of four-vectors. The basic ideas are very general and can be applied also to kinematics different from the Newtonian and Einstein ones, in order to construct the corresponding dynamics.
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