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Basic question in electromagnetic duality

  1. Dec 10, 2014 #1
    We originally have $$\overrightarrow{\nabla}\cdot\overrightarrow{B} = 0$$

    $$\overrightarrow{\nabla}\times\overrightarrow{E} = -\frac{\partial \overrightarrow B}{\partial t}$$

    When electromagnetic duality is concerned this rank 2 tensor kicks in:$$G^{\mu\nu}$$

    And most of books and sites define $$D_i = G_{i0}$$ and $$H_i = 1/2 \epsilon_{ijk}G_{jk}$$
    My question is why is this $$G^{\mu\nu}$$ related to our previously known electric induction D and magnetic intensity H?
    In other words,how comes that $$G^{\mu\nu}$$ this new notion that rised after duality came in related to our old notion of electric induction D and magnetic intensity H?
  2. jcsd
  3. Dec 15, 2014 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
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