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 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,
(7)
In cgs, the field tensor is written
(8)
The dual electromagnetic field tensor is equivalent to replacing and , and gives the same transformation laws. In MKS,
(9)
and in cgs,
(10)
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