加速点电荷的自场、辐射能和辐射线动量(第二部分)
Self-field, radiated energy, and radiated linear momentum of an accelerated point charge (Part 2)
摘要:
在经典电动力学理论的框架内,我们推导出一个精确的数学解的问题的自作用力(或辐射反应)的加速点电荷在自由空间中旅行。除了导出自电磁场的相对论表达式外,我们还获得了辐射能量和线性动量的速率的精确公式,而无需重新归一化粒子的质量-或丢弃不需要的无穷大。自作用力的相对论表达式称为亚伯拉罕-洛仑兹-狄拉克方程,可以用两种不同的方法推导出来。某些属性的自我力量的检查,和近似公式的自我力量,首先提出的朗道和Lifshitz,进行了详细讨论。
英文摘要:
Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-force (or radiation reaction) of an accelerated point-charge traveling in free space. In addition to deriving relativistic expressions for self electromagnetic fields, we obtain exact formulas for the rates of radiated energy and linear momentum without the need to renormalize the particle's mass - or to discard undesirable infinities. The relativistic expression of self-force known as the Abraham-Lorentz-Dirac equation is derived in two different ways. Certain properties of the self-force are examined, and an approximate formula for the self-force, first proposed by Landau and Lifshitz, is discussed in some detail.
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