Maxwell方程定态解的共形群Action和background radiation
Action of the conformal group on steady state solutions to Maxwell's equations and background radiation
摘要：
共形群（PSU（2，2））在Minkowski空间的共形紧化的Maxwell方程的解的空间上的表示被证明分裂成四个不可约的、适度增长的、可统一的光滑Fréchet表示。在每个表示上定义一个显式的内积。分析这些表示中的每一个的频谱。这些表示有显着的属性;特别是它们有正或负能量，它们是$A_{\frak q}(λ)$类型，是四元数。物理影响的结果进行了解释。
英文摘要：
The representation of the conformal group (PSU(2,2)) on the space of solutions to Maxwell's equations on the conformal compactification of Minkowski space is shown to break up into four irreducible unitarizable smooth Fréchet representations of moderate growth. An explicit inner product is defined on each representation. The frequency spectrum of each of these representations is analyzed. These representations have notable properties; in particular they have positive or negative energy, they are of type $A_{\frak q}(λ)$ and are quaternionic. Physical implications of the results are explained.
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