真实电流环境中电荷的自作用力
Self Force of a Charge in a Real Current Environment
摘要：
对单个电荷的电磁辐射分析表明，辐射功率取决于电荷的延迟加速度。因此，为了保持一致性，一个不受外力影响的加速电荷应该逐渐失去它的加速度，直到它的总能量被辐射出去。计算表明，补偿辐射的电荷自身力与加速度的导数成正比。然而，当在电荷的运动方程中使用这种自作用力时，得到的解是发散的，此时加速度趋于无穷大。这意味着在单电荷问题的解中存在不一致性。然而，在守恒麦克斯韦电荷密度的构造中，在对应的世界线上隐含着一个积分，它对应于带电时空事件的集合。因此，人们可以一致地认为，"自作用力“是一个电荷由于另一个电荷在延迟位置上而受到的力。从这一观点看，能量是明显守恒的，辐射过程表现为对馈源的吸收阻力。本工作的目的是从实际电流的行为中了解单个电荷的行为，对应于在世界线上运动的电荷集a，并研究与连续电荷的辐射电阻相关联的电荷的自作用力的模拟。
英文摘要：
The analysis of the EM radiation from a single charge shows that the radiated power depends on the retarded acceleration of the charge. Therefore, for consistency, an accelerated charge, free from the influence of external forces, should gradually lose its acceleration, until its total energy is radiated. Calculations show that the self force of a charge, which compensates for its radiation, is proportional to the derivative of the acceleration. However, when using this self-force in the equation of motion of the charge, one gets a diverging solution, for which the acceleration runs away to infinity. This means that there is an inconsistency in the solution of the single charge problem. However, in the construction of the conserved Maxwell charge density, there is implicitly an integral over the corresponding world line which corresponds to a collection of charged spacetime events. One may therefore consistently think of the ``self force'' as the force on a charge due to another charge at the retarded position. From this point of view, the energy is evidently conserved and the radiation process appears as an absorbing resistance to the feeding source. The purpose of this work is to learn about the behavior of single charges from the behavior of a real current, corresponding to the set of chargesa moving on a world line, and to study the analog of the self force of a charge associated with the radiation resistance of a continuum of charges.
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。
