论文标题
通过简单电荷分布测试辐射反应
Testing radiation reaction by simple charge distributions
论文作者
论文摘要
通过推导Lorentz-Abraham-Dirac(LAD)方程的各种电荷分布,经常近似点电荷。从这个角度来看,这里对刚性球形壳进行了处理。这种特殊的连续模型非常适合研究某些隐藏的期望是否真实。这里显示的是,均匀电荷的刚性球形壳的场不能被中心点电荷的场取代。由于时空的无参考框架和广义函数的数学理论,相关的计算是短而透明的。 %在这里表明,均匀电荷的刚性球形壳的场不能被中心有效点电荷的场取代。由于时空的无参考框架和广义函数的数学理论,相关的计算是短而透明的。
A point charge is frequently approximated by various charge distributions deriving the Lorentz-Abraham-Dirac (LAD) equation. Here a rigid spherical shell is treated from this point of view. This particular continuum model is excellent to investigate whether some hidden expectations are true or not. It is shown here that the field of a uniformly charged rigid spherical shell cannot be substituted by the field of a central point charge. The related calculations are short and transparent due to a reference frame free representation of spacetime and the mathematical theory of generalised functions. %Here it is shown that the field of a uniformly charged rigid spherical shell cannot be substituted by the field of a central effective point charge. The related calculations are short and transparent due to a reference frame free representation of spacetime and the mathematical theory of generalised functions.