具有小内偶极运动的球形电荷分布的动力学
Dynamics of spherical distributions of charge with small internal dipolar motion
摘要：
本文将洛伦兹-亚伯拉罕电子模型（即一个小的球壳电荷的运动方程，它在其固有坐标系中是刚性的）推广到处理一个小的球对称电荷分布，允许小的内部偶极运动。这是通过将分布划分为薄球壳（在连续极限中）并跟踪壳之间的相互作用来完成的。每个组成球壳的偶极运动允许沿净偶极矩，但忽略高阶多极矩。每个球壳的偶极运动的振幅被假定为与净偶极矩成线性比例。在这些假设下，低速运动方程的质心运动和净偶极运动的分布确定。然后，这被推广到任意（相对论）质心速度和加速度，假设单个壳的运动与净偶极矩完全同相或异相。
英文摘要：
This paper extends the Lorentz-Abraham model of an electron (i.e. the equations of motion for a small spherical shell of charge, which is rigid in its proper frame) to treat a small spherically symmetric charge distribution, allowing for small internal dipolar motion. This is done by dividing the distribution into thin spherical shells (in the continuum limit), and tracking the interactions between shells. Dipolar motion of each constituent spherical shell is allowed along the net dipole moment, but higher order multipole-moments are ignored. The amplitude of dipolar motion of each spherical shell is assumed to be linearly proportional to the net dipole moment. Under these assumptions, low velocity equations of motion are determined for both the center-of-mass motion and net dipolar motion of the distribution. This is then generalized to arbitrary (relativistic) center-of-mass velocity and acceleration, assuming the motion of individual shells is completely in phase or out of phase with the net dipole moment.
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。
