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Help with 3 dimensional Fourier Integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg90429] Help with 3 dimensional Fourier Integral
  • From: bye from <fireyend at yahoo.com>
  • Date: Wed, 9 Jul 2008 04:53:23 -0400 (EDT)
  • Reply-to: fireyend at yahoo.com

Hi,

Can anyone help with the following integration? Im trying to do
it analytically. It looks similar to some integrations I did (a long time
ago) in a quantum field theory course, but I cant find it in the standard
texts. 
 
If you have any advice or recommendations on texts where I could find
similar examples worked in detail that would be most helpful.
 
Thanks in
advance.

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int
dk^3 exp[i k.x]/(k^2(k+q)^2)

Here k=(k1,k2,k3), x=(x1,x2,x3),
q=(q1,q2,q3), k^2=k1^2+k2^2+k3^2, q is arbitrary, with the usual dot product.      


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