基于功能原理导出新的相对论质能关系

The Derivation of Mass-Energy Relation in Relativity Based on the Principle of Work-Energy

通过分别用动能定理及功能原理来导出相对论质能关系的比较,指出相对论力学用动能定理推导质能关系的错误所在.从功能原理出发推导出新的质能关系,并给出相对论情况下的动能及质能的表达式,对新的质能关系作出了一定的理解,将其用于解决有关的部分典型问题,都能得到满意的结果,这表明了新质能关系的合理性.

In this paper we derived mass-energy relation by comparing the two methods： theorem of kinetic energy and the principle of work-energy, then indicated the error in mass-energy relation derived from the theorem of kinetic energy in relativity. We obtained new forms of kinetic energy and mass-energy relation, and provided some esplanations. At last,we applied the new mass-energy relation in some typical problems, the outcomes showed that our new mass-energy relation is reasonable.