标题： 相对论电动力学中的行波和光锥方法 显示英文标题

标题： Travelling waves and light-front approach in relativistic electrodynamics

摘要： 我们简要报告了一项最近的提议（Fiore，J Phys A Math Theor 51:085203，2018），该提议旨在简化带电粒子在电磁（EM）场$F^{\mu\nu}$中的运动方程，该场是由一个平面行波$F_t^{\mu\nu}(ct\!-\!z)$和一个静态部分$F_s^{\mu\nu}(x,y,z)$组成；它采用类光坐标$\xi=ct\!-\!z$而不是时间$t$作为独立变量。我们在一些极端加速的情况中进行说明，首先是单独粒子的情况，然后是在平面流体动力学条件下的等离子体中的电子：洛伦兹-麦克斯韦和连续性偏微分方程可以被简化，有时甚至完全转化为一组解耦的常微分方程系统；例如，在行波对真空等离子体界面的作用中（这可能会产生等离子体波或弹弓效应）。 显示英文摘要

摘要： We briefly report on a recent proposal (Fiore in J Phys A Math Theor 51:085203, 2018) for simplifying the equations of motion of charged particles in an electromagnetic (EM) field $F^{\mu\nu}$ that is the sum of a plane travelling wave $F_t^{\mu\nu}(ct\!-\!z)$ and a static part $F_s^{\mu\nu}(x,y,z)$; it adopts the light-like coordinate $\xi=ct\!-\!z$ instead of time $t$ as an independent variable. We illustrate it in a few cases of extreme acceleration, first of an isolated particle, then of electrons in a plasma in plane hydrodynamic conditions: the Lorentz-Maxwell \& continuity PDEs can be simplified or sometimes even completely reduced to a family of decoupled systems of ordinary ones; this occurs e.g. with the impact of the travelling wave on a vacuum-plasma interface (what may produce plasma waves or the slingshot effect).