Unformatted text preview: z , show that Maxwell’s 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 4vectors. 4) Let O’ move relative to O with velocity V . A laser at rest in O’ at the origin of O’emits 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’ω ’t’ = k · rω t. ±rom this you deduce a new 4vector ( k ,i ω /c). Here k = 2 π / λ and f = ω /2 π and f λ = c. 5) JDJ 115. Do the parallel case only. Make your e z direction coincide with V . 1...
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 Spring '10
 Blecher
 Magnetism, Special Relativity, 1 m, exactly matched runners, ez direction coincide

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