相对论能量正比于动质量的一般性证明  

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

作　　者：戴又善[1] 

机构地区：[1]浙江大学城市学院,浙江杭州310015

出　　处：《大学物理》2014年第10期20-23,共4页College Physics

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.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.

关 键 词：狭义相对论 动量和能量 相对性原理 质能关系 

分 类 号：O412.1[理学—理论物理]