GENERALIZATION OF THE THOMSON FORMULA FOR HOMOGENEOUS HARMONIC FUNCTIONS

被引：4

作者：

Berdnikov, A. S. ^{[1
]}

Gall, L. N. ^{[1
]}

Gall, N. R. ^{[1
]}

Solovyev, K., V ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Analyt Instrumentat, 26 Rizhsky Ave, St Petersburg 190103, Russia

[2] Peter Great St Petersburg Polytech Univ, 29 Politech Skaya St, St Petersburg 195251, Russia

来源：

ST PETERSBURG POLYTECHNIC UNIVERSITY JOURNAL-PHYSICS AND MATHEMATICS | 2019年 / 12卷 / 02期

关键词：

electrostatic field; magnetostatic field; scalar potential; homogeneous function; harmonic function; ENERGY ANALYZERS; DONKINS FORMULA; MAGNETIC-FIELDS;

D O I：

10.18721/JPM.12204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the paper, it has been shown that the Thomson formula for three-dimensional harmonic homogeneous functions in Euler terms can be generalized using a linear algebraic form involving the first order partial derivatives of the initial function instead of pure algebraic linear expressions. An exhaustive list of the formed first order expressions converting arbitrary three-dimensional harmonic functions in Euler terms into new three-dimensional homogeneous harmonic functions was presented.

引用

页码：49 / 62

页数：14

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