- #1
Demon117
- 162
- 1
Howdy. I am trying to determine the scattering amplitude from a repulsive potential given by V(r) = \frac{A}{r^{2}}. What I have so far is this:
f = -\frac{4\pi\mu}{2\pi\hbar^{2}}\int_{0}^{\infty} \frac{(sin(kr))}{kr} dr
I know this is a sinc-integral, but I am not quite sure how to evaluate those since I've never come across them. One resource suggests that its done by contour integration but I fail to see the connection. If you could, please guide me through this process or at least give me a resource that explains this.
f = -\frac{4\pi\mu}{2\pi\hbar^{2}}\int_{0}^{\infty} \frac{(sin(kr))}{kr} dr
I know this is a sinc-integral, but I am not quite sure how to evaluate those since I've never come across them. One resource suggests that its done by contour integration but I fail to see the connection. If you could, please guide me through this process or at least give me a resource that explains this.
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