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I've seen the Fourier representation of the Coulomb potential is [tex]-\frac {Ze} {|\mathbf{x}|} = -Ze 4\pi \int \frac {d^3q} {(2\pi)^3} \frac {1} { |\mathbf{q}|^2} e^{i\mathbf{q}\cdot\mathbf{x}}[/tex]

Will anyone show me how to prove it? (yes, it's the Coulomb potential around an atomic nucleus.)

Thanks in advance!

Will anyone show me how to prove it? (yes, it's the Coulomb potential around an atomic nucleus.)

Thanks in advance!

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