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Integration with a mixture of Delta functions etcc

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131892] Integration with a mixture of Delta functions etcc
  • From: Yaj <ybhattacharya at gmail.com>
  • Date: Mon, 28 Oct 2013 00:39:48 -0400 (EDT)
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Trying to integrate the following function

\frac{e^{-i (\text{p1}+\text{p2}-\text{p3}) r+i t (w[\text{p1}]+w[\text{p2}]-w[\text{p3}])} F[\text{p3},\text{q2}] G[\text{q2},\text{p2},\text{p1}]}{\text{sqrt}\left[4096 \pi ^9 w[\text{p1}] w[\text{p2}] w[\text{p3}]\right]}

such that Mathematica knows that the integral 

Integral[e^{-i (\text{p1}+\text{p2}-\text{p3}) r}] = (2*Pi)^3 \DiracDelta(p1 + p2 - p3)

How could I teach Mathematica to do this instead of using a manual replacement each time?

Thanks in advance
Y. Bhattacharya 



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