Interpretations from Helmholtz’ theorem in classical electromagnetism
作者:
Benjamin P. Miller,
期刊:
American Journal of Physics
(AIP Available online 1984)
卷期:
Volume 52,
issue 10
页码: 948-950
ISSN:0002-9505
年代: 1984
DOI:10.1119/1.13800
出版商: American Association of Physics Teachers
关键词: electromagnetism;helmholtz theorem;vector fields;polarization
数据来源: AIP
摘要:
Helmholtz’ theorem is a profound mathematical theorem which provides the definitive relationship between a vector field and mathematically defined source functions. The usual presentations of electromagnetic theory establish the principle sources of the electromagnetic field vectors, but leave the question of completeness unanswered, that is, whether all sources are included. Helmholtz’ theorem provides the basis for investigating the existence of other possible sources, and in at least one case shows a possible source not normally considered. Helmholtz’ theorem also provides a significant result pertaining to the meaning of the inverse square radial field, of which the Newtonian gravitational and Coulombic electrostatic fields are the classical examples. It can be established that the inverse square relation is determined by more elementary properties of the field and of the source function to which it relates.
点击下载:
PDF
(257KB)
返 回