Confirm that the retarded potentials satisfy the Lorenz

Chapter 10, Problem 10P

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Problem 10P

Confirm that the retarded potentials satisfy the Lorenz gauge condition. [Hint: First show that

 where denotes derivatives with respect to r, and ′ denotes derivatives with respect to r′. Next, noting that  depends on r′ both explicitly and through

 , whereas it depends on r only through r, confirm that confirm that

Use this to calculate the divergence of A (Eq. 10.26).]

Equation 10.26

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