真空中电磁孤波的拉格朗日量
A Lagrangian for Electromagnetic Solitary Waves in Vacuum
摘要:
介绍和讨论了描述电磁场演化的方程组。该模型与麦克斯韦方程组严格相关。事实上,拉格朗日量是相同的,但变化受到适当的约束。这允许扩大空间的解决方案,包括例如孤立波与紧凑的支持。这样,在不改变物理学的情况下,人们就可以把矢量波当作无质量的粒子来处理。该模型的主要特性,以及许多精确的显式解。
英文摘要:
A system of equations, describing the evolution of electromagnetic fields, is introduced and discussed. The model is strictly related to Maxwell's equations. As a matter of fact, the Lagrangian is the same, but the variations are subjected to a suitable constraint. This allows to enlarge the space of solutions, including for example solitary waves with compact support. In this way, without altering the physics, one is able to deal with vector waves as they were massless particles. The main properties of the model, together with numerous exact explicit solutions are presented.
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