Derivatives of exp(ik r) Let A(r) = c exp(ik r) where c is constant. Show
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Derivatives of exp(ik · r) Let A(r) = c exp(ik · r) where c is constant. Show that, in every case, the replacement ∇ →ik produces the correct answer for ∇ · A, ∇ ×A, ∇ ×(∇ ×A), ∇(∇ · A), and ∇2A.
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