两个点状电荷辐射的干涉
Interference in the radiation of two point-like charges
摘要:
给出了在平坦时空中任意运动的两个点状带电粒子的电磁场所携带的能量动量和角动量。除了粒子1和粒子2分别产生的诺特量的通常贡献外,守恒定律还包含由于两个粒子的场的联合贡献。麦克斯韦能量动量密度的混合部分被分解为束缚和辐射分量,它们分别在粒子世界线外守恒。前者描述了由于相互作用而导致的“裸”电荷的电磁云的变形,而后者定义了逃逸到无限远的辐射。束缚项对粒子的四动量有贡献,而辐射项对辐射反应有贡献。通过对能量-动量和角动量平衡方程的分析,得出洛伦兹-狄拉克方程是一个尖电荷在自身电磁场和另一个电荷产生的电磁场影响下的运动方程。
英文摘要:
Energy-momentum and angular momentum carried by electromagnetic field of two point-like charged particles arbitrarily moving in flat spacetime are presented. Apart from usual contributions to the Noether quantities produced separately by particles 1 and 2, the conservation laws contain also joint contribution due to the fields of both particles. The mixed part of Maxwell energy-momentum density is decomposed into bound and radiative components which are separately conserved off the world lines of particles. The former describes the deformation of electromagnetic clouds of ``bare'' charges due to mutual interaction while the latter defines the radiation which escapes to infinity. The bound terms contribute to particles' individual 4-momenta while the radiative ones exert the radiation reaction. Analysis of energy-momentum and angular momentum balance equations results the Lorentz-Dirac equation as an equation of motion for a pointed charge under the influence of its own electromagnetic field as well as field produced by another charge.
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