The transformation laws for electric and magnetic fields prescribed by special relativity (in MKS) for a particle traveling at a speed v are


















where
is relativistic gamma and c is the speed of light. These transformation laws can be combined into a single entity known as the field tensor,

In cgs, the field tensor is written

The dual electromagnetic field tensor
is equivalent to replacing
and
, and gives the same transformation laws. In MKS,

and in cgs,




(1)



(2)



(3)



(4)



(5)



(6)
where


(7)
In cgs, the field tensor is written

(8)
The dual electromagnetic field tensor




(9)
and in cgs,

(10)
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