At a single space time point, it is always possible to orient the space axes so E z B z 0 and E B EB cos (a) Under these conditions, diagonalize and show that the two distinct eigenvalues are (b) Show that part (a) implies that the electromagnetic energy density at the space time point in question ...

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At a single space-time point, it is always possible to orient the space axes so E z

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At a single space-time point, it is always possible to orient the space axes so E_z= B_z
= 0 and E · B = EB cos θ.

(a) Under these conditions, diagonalize μν and show that the two distinct eigenvalues are

(b) Show that part (a) implies that the electromagnetic energy density at the space-time point in question is either zero or not less than |λ| in every inertial frame.

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Modern Electrodynamics

ISBN: 9780521896979

1st Edition

Authors: Andrew Zangwill

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Question Posted: Jul 30, 2023 08:20 AM

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At a single space-time point, it is always possible to orient the space axes so E z

Question:

1 λ = ±- = 42 √ (Fµv Fµv)² + (FµvGµv)² = ±= €0√√/E² +c4B¹ + 2E² B²c² cos(20).

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Modern Electrodynamics

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