Unformatted text preview: Determine E and B . (c) In frame K E ⊥ B . Find the velocity of K with respect to K such that either B = 0 or E = 0. Is the solution unique? 4. (a) Prove that that the following two equations are equivalent to the two homogeneous Maxwell equations ∇ · B = 0 and c ∇ × E =-∂ t B : (a) ∂ λ F μν + ∂ μ F νλ + ∂ ν F λμ = 0, (b) ε ρλμν ∂ λ F μν = 0. (b) Using the Lorentz transformation equations for E and B prove that E 2-B 2 and E · B are 4-scalars....
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- Fall '10
- Special Relativity, Lorentz Transformation Equations, constant magnetic field, homogeneous electromagnetic field, homogeneous Maxwell equations