Unformatted text preview: (1 point). 3. Calculate T αβ A T S αβ . Due April 19 in class (1 point). 4. Derive the continuity equation from the antisymmetry of F αβ . Due April 19 in class (1 point). 5. Show ∂ α * F αβ = 0, where * F αβ = 1 2 ² αβγδ F γδ is the dual tensor. Here ² αβγδ is the completely antisymmetric LeviCevita tensors: +1 for ( α, β, γ, δ ) and even permutation of (0 , 1 , 2 , 3),1 for ( α, β, γ, δ ) and even permutation of (0 , 1 , 2 , 3). Due April 19 in class (2 points). (53) Under a gauge transformation the vector potential transform according to A α → A α = A α + ∂ α Λ . Calculate the corresponding transformation of the electromagnetic ±eld tensor F αβ → F αβ . Due April 21 before class (4 points)....
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 Spring '11
 Berg
 Electron, Mass, Work, Photon, Positron, rest frame, Calculate TA TS

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