Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gaussian Integral

  1. Jan 28, 2014 #1
    Hey,

    I am rather stuck on this gaussian integral....

    I have come this far, and not sure what to do now:

    [tex]\int dh_{01}(\frac{h_{01}}{\sigma})^{2}+\frac{\Delta k^{2}(t-x)^{2}h_{01}}{2}-ik_{0}(t-x)h_{01}[\tex]

    [tex]\int dh_{01}(\frac{h_{01}}{\sigma})^{2}+k_{0}(t-x)h_{01}(-i+\frac{\Delta k^{2}(t-x)}{2k_{0}})
    [\tex]

    [tex]\int dh_{01}(-((\frac{h_{01}}{\sigma}-\frac{\sigma}{2}k_{0}(t-x)\int dh_{01}(\frac{h_{01}}{\sigma})^{2}+k_{0}(t-x)h_{01}(-i+\frac{\Delta k^{2}(t-x)}{2k_{0}}))[\tex]

    [tex]\int dh_{01}(\frac{h_{01}}{\sigma})^{2}+k_{0}(t-x)h_{01}(-i+\frac{\Delta k^{2}(t-x)}{2k_{0}}))^{2})-\frac{\sigma^{2}}{4}(t-x)^{2}k_{0}^{2}(-i+\frac{\Delta k^{2}(t-x)}{2k_{0}})^{2}[\tex]

    where a=-1 b=1/2

    Not sure what to do now...
     
  2. jcsd
  3. Jan 28, 2014 #2

    mathman

    User Avatar
    Science Advisor
    Gold Member

    You need to change \tex to /tex. Even so, the equations look wierd. It is not at all clear what you are doing.
     
    Last edited: Jan 28, 2014
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Gaussian Integral
  1. Gaussian integral . (Replies: 8)

Loading...