二维系统的静电能

Edinburgh Mathematical Notes Pub Date : 1959-11-01 DOI:10.1017/S0950184300003189

L. Chambers

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摘要

对于二维静电系统，复变量z (= x + iy)和复势W (= U + iV)的使用是众所周知的，(x, y)平面上的实际系统在(U, V)平面上有一个像系统。以前似乎没有注意到，实际系统的单位长度的静电能量仅仅与(U, V)平面的像域面积有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Electrostatic Energy of a Two-Dimensional System

The use of the complex variable z ( = x + iy ) and the complex potential W (= U + iV ) for two-dimensional electrostatic systems is well known and the actual system in the ( x , y ) plane has an image system in the ( U , V ) plane. It does not seem to have been noticed previously that the electrostatic energy per unit length of the actual system is simply related to the area of the image domain in the ( U , V ) plane.

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Edinburgh Mathematical Notes

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