How can I correctly perform Fourier inversion of function S(q) to get G(r)?

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The discussion focuses on performing Fourier inversion of the function S(q) to obtain G(r), specifically referencing equation 7.46. The user expresses difficulty in executing the inversion and seeks assistance, clarifying that this is not a homework query but part of their physics learning. They mention using Wolfram Alpha but receiving results that differ from their textbook, which contains a fundamental error related to the variables used. The conversation highlights the importance of correctly interpreting the equation and the need for clarification on the inversion process. The user is looking for guidance to resolve discrepancies between their calculations and the textbook results.
enrikofermi
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Hi all.
I have to do Fourer inversion of an equation 7.46 but I don't know how to do that.
If anybody has any idea it wolud be very helpfull.
Inversion of S(q) is G(r).
 

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No. I'm learning some physics and need to calculate this to get next step, but i can't. :/
 
Did you try Wolfram Alpha?

I can't see the whole problem, plus it is sideways.
 
No, didn't. That is whole problem, to do Fourier inverse of 7.46. Sorry because it is sideways. :/
 
I have used Wolfram Alpha and got (almost) same result as I calculated earlier. (See pic) But in my book I have r instead of k in denominator. And that result in the book is fundamental! It must be correct. Where have Wolfram and me failed?
 

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