说明相对论力学守恒定律的某些含义
Illustrating Some Implications of the Conservation Laws in Relativistic Mechanics
摘要：
本文回顾了非相对论和相对论系统的守恒定律，并举例说明了相对论守恒定律与静止质心的非相对论守恒定律相比，对能量中心的限制性。将粒子间的非相对论性相互作用通过一个势推广到一个在v^2/c^2阶上洛伦兹不变的系统，发现需要新的依赖于速度和加速度的力，这暗示了场论，在这个场论中，柯里、乔丹和苏德尚的无相互作用定理不成立。
英文摘要：
The conservation laws of nonrelativistic and relativistic systems are reviewed and some simple illustrations are provided for the restrictive nature of the relativistic conservation law involving the center of energy compared to the nonrelativistic conservation law for the center of restmass. Extension of the nonrelativistic interaction of particles through a potential to a system which is Lorentz-invariant through order v^2/c^2 is found to require new velocity- and acceleration-dependent forces which are suggestive of field theory where the no-interaction theorem of Currie, Jordan, and Sudershan does not hold.
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。
