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Homework Help: Maxwell's Equations - Tensor form

  1. Jan 21, 2016 #1
    1. The problem statement, all variables and given/known data
    The gauge ∂tχ - A =0 enables Maxwell's equations to be written in terms of A and φ as two uncoupled second order differential equations. However, when the lorentz condition div A = 0 is applied, we are told the equation can be encapsulated as: one tensor equation ∂μFμA = jμ where j is the covariant 4 current. Written out longhand this is:

    2φ/∂t2 - ∇2A

    which is one coupled second order differential equation in A and φ. What happened to the terms ∂2A/∂t2 -∇2φ. Which were in the uncoupled version?

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Jan 26, 2016 #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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