Lorentz Invariance of Maxwell's Equations

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Lorentz Invariance of Maxwell's Equations

Postby stcordova » Sat Oct 12, 2019 12:05 am

Given this solution of Maxwell's equations for a light wave travelling through a vacuum observed from a reference frame moving at velocity V


then under the Lorentz transformation, this is the form of the solution for Maxwell's equations for the same light wave observed from a reference frame moving at velocity V':



proof:







changing the form slightly



changing the form sligthly by factoring


noting that we can further change the form to



which reduces to



slightly re-arraning

Last edited by stcordova on Sat Oct 12, 2019 2:32 am, edited 3 times in total.
stcordova
 
Posts: 447
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Re: Lorentz Invariance of Maxwell's Equations

Postby stcordova » Sat Oct 12, 2019 2:15 am

junk













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