陀螺洛仑兹电动力学中的散射和辐射阻尼
Scattering and radiation damping in gyroscopic Lorentz electrodynamic
摘要：
相对论大质量洛伦兹电动力学（LED）是在“陀螺仪设置”中研究的，其中电磁场和粒子自旋是唯一的动力学自由度。严格证明的整体存在性和唯一性的动力学基本上是合理的一个经典理论的整个范围内的场强。对于一类旋转反射对称场数据，它表明，动力学也满足世界线方程的一个不移动的洛伦兹电子，从而提供严格的解决方案的整个系统的非线性方程的LED。先前证明的洛伦兹电子的孤子动力学进一步illucidated通过显示，从重整化粒子的孤子状态的旋转反射对称的偏差消失指数快速通过辐射阻尼，如果静电质量小于裸静止质量。
英文摘要：
Relativistic massive Lorentz electrodynamics (LED) is studied in a ``gyroscopic setup'' where the electromagnetic fields and the particle spin are the only dynamical degrees of freedom. A rigorous proof of the global existence and uniqueness of the dynamics is given for essentially the whole range of field strengths reasonable for a classical theory. For a class of rotation-reflection symmetric field data it is shown that the dynamics also satisfies the world-line equations for a non-moving Lorentz electron, thus furnishing rigorous solutions of the full system of nonlinear equations of LED. The previously proven soliton dynamics of the Lorentz electron is further illucidated by showing that rotation-reflection symmetric deviations from the soliton state of the renormalized particle die out exponentially fast through radiation damping if the electrostatic mass is smaller than the bare rest mass.
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