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Electromagnetic tensor : ウィキペディア英語版
Electromagnetic tensor

In electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field of a physical system. The field tensor was first used after the 4-dimensional tensor formulation of special relativity was introduced by Hermann Minkowski. The tensor allows some physical laws to be written in a very concise form.
==Definition==

The electromagnetic tensor, conventionally labelled ''F'', is defined as the exterior derivative of the electromagnetic four-potential, ''A'', a differential 1-form:
:F \ \stackrel\ \mathrmA.
Therefore ''F'' is a differential 2-form—that is, an antisymmetric rank-2 tensor field—on Minkowski space. In component form,
:F_ = \partial_\mu A_\nu - \partial_\nu A_\mu.
SI units for Maxwell's equations and the particle physicist's sign convention for the signature of Minkowski space (+,−,−,−), will be used throughout this article.

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