Demon117
- 162
- 1
Howdy. I am trying to determine the scattering amplitude from a repulsive potential given by [itex]V(r) = \frac{A}{r^{2}}[/itex]. What I have so far is this:
[itex]f = -\frac{4\pi\mu}{2\pi\hbar^{2}}\int_{0}^{\infty} \frac{(sin(kr))}{kr} dr[/itex]
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.
[itex]f = -\frac{4\pi\mu}{2\pi\hbar^{2}}\int_{0}^{\infty} \frac{(sin(kr))}{kr} dr[/itex]
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.
Last edited: