由场方程导出的运动方程和带电粒子运动的规范不变变分原理
Equations of Motion from Field Equations and a Gauge-invariant Variational Principle for the Motion of Charged Particles
摘要:
新的,规范无关的,二阶拉格朗日经典的带电测试粒子的运动提出。它与标准的、规范相关的、一阶拉格朗日量的区别仅在于边界项。本文提出了一种由场方程导出运动方程的新方法。当应用于经典电动力学时,这种方法使我们能够从一般的能量-动量守恒原理中明确地获得上述二阶拉格朗日量。
英文摘要:
New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is proposed. It differs from the standard, gauge-dependent, first order Lagrangian by boundary terms only. A new method of deriving equations of motion from field equations is developed. When applied to classical electrodynamics, this method enables us to obtain unambigously the above, second order Lagrangian from the general energy-momentum conservation principle.
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