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Amith2006
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Homework Statement
I have question on doing the following indefinite integral:
$$\int{d^3x(\nabla^2A^{\mu}(x))e^{iq.x}}$$
Homework Equations
This is part of derivation for calculating the Rutherford scattering cross section from Quarks and Leptons by Halzen and Martin. This books gives the following result obtained by partial integration of the above integral:
$$\int{d^3xA^{\mu}(x)(\nabla^2e^{iq.x})}$$
The Attempt at a Solution
I tried to use the identity from vector calculus:
$$\nabla^2(\phi\psi) = \phi\nabla^2\psi + \psi\nabla^2\phi + 2\nabla\phi.\nabla\psi$$
But not sure how to get rid of the other terms.
Any help is most welcome.
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