- #1
Sistine
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Homework Statement
In calculating the quantum mechanical amplitude for the Coulomb potential (scattering of say [tex]\alpha[/tex] particle off a massive particle of charge [tex]Ze[/tex]), I came across a Fourier transform which I could not calculate.
If
[tex] U(r)=\frac{2Ze^2}{4\pi\epsilon_0 r}[/tex]
then
[tex]\tilde{U}(k)=\int U(\mathbf{x})e^{i\mathbf{k}\cdot\mathbf{x}}d^3x=\frac{Ze^2}{\epsilon_0 k^2} [/tex]
Could you please help me calculate this integral