An energy-momentum carried by electromagnetic field produced by two point-like charged particles is calculated. Integration region considered in the evaluation of the bound and emitted quantities produced by all points of world lines up to the end points at which particles' trajectories puncture an observation hyperplane $y^0=t$. Radiative part of the energy-momentum contains, apart from usual integrals of Larmor terms, also the sum of work done by Lorentz forces of point-like charges acting on one another. Therefore, the combination of wave motions (retarded Li\'enard-Wiechert solutions) leads to the interaction between the sources.
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机译:计算由两个点状带电粒子产生的电磁场所携带的能量动量。在评估世界线的所有点所产生的束缚和发射量时所考虑的积分区域,直到粒子轨迹穿刺的端点为止,观测超平面$ y ^ 0 = t $。除了拉莫尔项的通常积分之外,能量动量的辐射部分还包含由点状电荷相互作用的洛伦兹力完成的功的总和。因此,波浪运动的组合(延迟的Li'enard-Wiechert解)导致了源之间的相互作用。
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