1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to calculate scattering aplitude?

  1. May 7, 2017 #1
    1. The problem statement, all variables and given/known data
    Hello, everyone . My teacher has given me an assignment to show that the exact Coulomb amplitude (2) satisfies the unitary condition for an elastic Scattering theory (1).

    (1) ## Imf(k',k'')=( \frac {κ} {4\pi} ) ∫ f^*(k',k'')f(k',k'')dΩ ##

    (2) ## f(θ)= \frac {-α} {2mϑ^2} \frac{\Gamma(1+in)}{\Gamma(1-in)} \frac{\exp(-2in\ln\sin(\frac{\theta}{2}))}{\sin^2\frac{\theta}{2}} ##

    2. Relevant equations
    As I understood the goal is to show that this condition is suitable for scattering in every potential including weak Coulomb potentional, right?

    3. The attempt at a solution
    That is why I took the formula (1) which combines Im part of amplitude with the whole amplitude and subtract Coulomb amplitude (2) . The problem is that we haven't studied Quantum mechanics yet, so it seems kinda difficult. I'm not asking you to show me every step of this calculation , but can you just give me any sort of advice how to start it ? Thank you in advance.

     
  2. jcsd
  3. May 12, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted