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Unformatted text preview: z , show that Maxwells wave equation in vacuum has the same form for both O and O. Do not use the Lorentz invariance of the scalar product of two 4-vectors. 4) Let O move relative to O with velocity V . A laser at rest in O at the origin of Oemits light of frequency f that moves to the origin of O. Use the results for the Doppler eFect, derived in class, to show that the phase of the wave is a Lorentz invariant. That is show, k r- t = k r- t. rom this you deduce a new 4-vector ( k ,i /c). Here k = 2 / and f = /2 and f = c. 5) JDJ 11-5. Do the parallel case only. Make your e z direction coincide with V . 1...
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This note was uploaded on 12/24/2011 for the course PHYS 5406 taught by Professor Blecher during the Spring '10 term at Virginia Tech.
- Spring '10