大学物理 ›› 2014, Vol. 33 ›› Issue (10): 20-20.

• 著者文摘 • 上一篇    下一篇

相对论能量正比于动质量的一般性证明

戴又善   

  1. 浙江大学城市学院,浙江杭州310015
  • 出版日期:2014-10-25 发布日期:2014-10-20

A general proof of the proportionality between relativistic energy and moving mass

  • Online:2014-10-25 Published:2014-10-20

摘要: 依据相对性原理,仅仅要求粒子的动量和能量在不同的惯性系中具有相同的函数形式,即可一般性地证明相对论能量必须正比于动质量.这一特性为相对论本身的自洽要求,而与线性时空变换的具体形式无关,也与光速不变的假设无关.依据这一特性,同时也一般性证明了质量守恒定律等价于能量守恒定律。

关键词: 狭义相对论, 动量和能量, 相对性原理, 质能关系

Abstract: The principle of relativity requires that the expressions for particle's momentum and energy take the same functional form in all inertial frames. We present a general proof that the relativistic energy has to be proportional to the moving mass. This result is a self-consistent requirement of relativity. It does not dependence on the specific form of linear space-time transformations,nor does it require the postulation of an invariant speed of light.The proof further implies that conservation of mass in general follows from conservation of energy.

Key words: special relativity, momentum and energy, principle of relativity, mass-energy relation

中图分类号: 

  • O412.1