Electrodynamics in two space dimensions :-(

AI Thread Summary
The discussion revolves around a problem in electrodynamics in two space dimensions, with a user seeking help on their solution. A participant points out errors in the user's equations of motion (EOM), specifically mentioning incorrect indices and missing terms. They suggest reworking the derivation in more detail and provide guidance on calculating a specific expression using the EOM. The conversation also includes a light-hearted exchange about potential familiarity between participants. Overall, the focus remains on resolving the technical issues related to the electrodynamics problem.
ted1986
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Hi all,

I've got this problem (which is attached as q1.jpg).

I've tried to solve it, but I'm stuck... my solution is also attached (my_sol1.jpg).

PLS help me :-(

Thnx

TED
 

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In your derivation of the EOM, you got some indices wrong and forgot an A^μ. Maybe there are also sign or coefficient errors, haven't checked it in detail. I propose you to redo it in more detail.
For the next step, derive your EOM once and calculate ( θ η^{μν} - ε^{μνα} ∂_α ) J_ν using your EOM and the derived version, which should give you the left side.
 
Thanks! I'll try it...

Do I know you from somewhere ? ;-)
 
Don't know if I have seen you, but if you were born in 1986, that's possible ... you have a private message.
 
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