德布罗意佯谬、相对论多普勒效应和狭义相对论中质能关系的推导
de'Broglie's paradox, relativistic Doppler effect, and the derivation of mass-energy relation in special relativity
摘要：
讨论了三个相关的问题，以显示狭义相对论（SR）理论的“简洁、和谐和美丽”：（1）德布罗意如何发现他著名的粒子动量和波长之间的关系--一个源于SR时间膨胀效应的悖论。（2）相对论性多普勒效应，特别是横向多普勒效应和时间延缓效应之间的区别。(3)通过三个具体的例子，用归纳法导出了狭义相对论中的一般质能关系。
英文摘要：
Three related topics are discussed to show the "simplicity, harmony and beauty" of the theory of special relativity (SR): (1) How can de'Broglie discover his famous relation between the particle's momentum and a wave length -- a paradox stemming from the time dilatation effect of SR. (2) The relativistic Doppler effect, especially the distinction between the transverse Doppler effect and the time dilatation effect. (3) Three particular examples are examined to derive the general mass-energy relation in SR by induction method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
