Unformatted text preview: rest frame.) 2. Which fraction of the original mass is left, after the spacetrip has been performed? Due April 19 before class (8 points). (50) (1) Write down the de±nition of ∂ α . Due April 14 in class (1 point). (2) Let A α be a vector ±eld. Write down the scalar ±eld from this and ∂ α (not the scalar operator). Due April 16 in class (1 point). (3) Use the quantities of assignments (1) and (2) to write down a rank two tensor T αβ ±eld (not a tensor operator). Due April 16 in class (1 point). (4) Write the equation ∂ α F αβ = 4 π c J β explicitly out for β = 0 , 1 , 2 , 3. Due April 16 in class (4 points). (5) Compare the β = 0 result with ∇ ~ E = 4 πρ and the β = i = 1 , 2 , 3 results with ∇× ~ Bc1 ± ∂ ~ E/∂t ² = 4 π ~ J/c . Due April 16 in class (4 points)....
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 Spring '11
 Berg
 Momentum, Work, General Relativity, Light, Fundamental physics concepts, aα, 729.2 nm

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