自由电磁场的涂抹场描述

IF 0.5 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Acta Physica Polonica A Pub Date : 2023-06-01 DOI:10.12693/APhysPolA.143.S107

J. Przeszowski

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引用次数: 0

摘要

满足麦克斯韦方程组的无电荷、无电流的自由电磁场可以用复矢量场来描述。在场高度依赖于位置和时间的标准公式中，我们得到的积分在数学上是不明确的。这种情况发生在无质量泡利-乔丹函数中，它用于描述场的时间演化，出现在经典场的泊松括号中。这个困难可以通过引入带有测试函数的线性泛函来解决。这样，无质量的泡利—乔丹函数就变成了一个调质分布，从而可以进行数学上严格的分析。

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Smeared Field Description of Free Electromagnetic Field

Free electromagnetic fields, satisfying Maxwell's equations with no charges and electric currents, can be described by complex vector fields. In the standard formulation with fields sharply dependent on position and time, one obtains integrals that are mathematically ill-defined. This happens for the massless Pauli--Jordan function, which is used to describe the time evolution of fields and appears in the Poisson brackets for classical fields. This difficulty can be solved by introducing smeared fields as linear functionals with test functions. In this way, the massless Pauli--Jordan function becomes a~tempered distribution, allowing a mathematically rigorous analysis.

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来源期刊

Acta Physica Polonica A 物理-物理：综合

CiteScore

1.50

自引率

0.00%

发文量

141

审稿时长

6 months

期刊介绍： Contributions which report original research results and reviews in the fields of General Physics, Atomic and Molecular Physics, Optics and Quantum Optics, Quantum Information, Biophysics, Condensed Matter, and Applied Physics are welcomed.