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Maxwell field wedge product basis

  1. Oct 26, 2011 #1
    1. The problem statement, all variables and given/known data

    The problem is to write it in terms on coordinate basis using the wedge product,
    [tex]F=F_{\mu\nu}dx^{\mu}\wedge dx^{\nu}[/tex]
    from the basis with the tensor prdouct.

    2. Relevant equations

    The EM field strength tensor can be written, with a coordinate basis,
    [tex]F=F_{\mu\nu}dx^{\mu}\otimes dx^{\nu}[/tex]


    3. The attempt at a solution

    My initial thought was write the field strength tensor in terms of is antisymmetric parts,
    [tex]F=\frac{1}{2}\left(F_{\mu\nu}dx^{\mu}\otimes dx^{\nu}-F_{\nu\mu}dx^{\nu}\otimes dx^{\mu}\right)[/tex]
    I can't get any further though. Any insights would be appreciated.
     
    Last edited: Oct 26, 2011
  2. jcsd
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