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# 3rd Year Special Relativity HELP! watch

1. Hi, can someone pleeeeease help me out with questions 5c and 5e please? I've got no idea how to go about them. for e I just can't work out what the covariant gauge transformation would actually be... I think from then on I'd be ok.

Thanks
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2. Level 3 Theoretical Physics 04355101 and Level 4 Theoretical Physics 4 04419101.pdf (89.6 KB, 152 views)
3. Sorry I only got a C at gcse physics o.0 ...
4. (Original post by TheRandomer)
Hi, can someone pleeeeease help me out with questions 5c and 5e please? I've got no idea how to go about them. for e I just can't work out what the covariant gauge transformation would actually be... I think from then on I'd be ok.

Thanks
Do you know what the gauge transformations for and are? You can generalise this to using the four-gradient operator.
5. (Original post by suneilr)
Do you know what the gauge transformations for and are? You can generalise this to using the four-gradient operator.
Yeah I have but I can't figure out how to get the covariant version.. because I know the sign of the grad bit will change, so if I try just subbing all the for it doesn't work =/
I'm just very confused. haha. I basically have the equation for the contravariant gauge transform but I need the covariant one..
6. (Original post by TheRandomer)
Yeah I have but I can't figure out how to get the covariant version.. because I know the sign of the grad bit will change, so if I try just subbing all the for it doesn't work =/
I'm just very confused. haha. I basically have the equation for the contravariant gauge transform but I need the covariant one..

You use the metric to change between covariant and contravariant forms, i.e.

See here for more info
7. (Original post by TheRandomer)
Yeah I have but I can't figure out how to get the covariant version.. because I know the sign of the grad bit will change, so if I try just subbing all the for it doesn't work =/
I'm just very confused. haha. I basically have the equation for the contravariant gauge transform but I need the covariant one..
It should stay the same I think. The time components stay the same going between co/contravariant, whilst the spatial components will change sign which should cancel with the sign change of grad

EDIT: Actually I've just read through the question again, and I don't think it wants the gauge transformation of . When it says "in covariant form", I'm pretty sure this means that it wants the transformation to be Lorentz covariant ie a tensor equation, rather than wanting the transformation written in terms of covariant objects. See here for more details on the usage of covariant.

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