Question: An alternative Lagrangian density for the electromagnetic field is (a) Derive the Euler-Lagrange equations of motion. Are they the Maxwell equations? Under what assumptions?(b) Show

An alternative Lagrangian density for the electromagnetic field is

(a) Derive the Euler-Lagrange equations of motion. Are they the Maxwell equations? Under what assumptions?(b) Show explicitly, and with what assumptions, that this Lagrangian density differs from (12.85) by a 4-divergence. Does this added 4-divergence affect the action or the equations ofmotion?

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a The EulerLagrange theorem says b The other Lagrangian is ac JA So we have Ja and L 1 D3Aa 8 8 ... View full answer

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