I have the following Gaussian Integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{0}^{\infty}2\pi r\left |{\int_{-l/2}^{l/2}\frac{e^\frac{-r^2}{bH}}{(1+ix)(k^{''} - ik^{'}x)H}}dx\right |^2dr [/tex]

Where

[tex]H = \frac{1+x^2}{k^{''} - ik^{'}x} - i\frac{x - \zeta}{k^{'}}[/tex]

Assume any characters not defined are constants.

I agree it does look fantastic, and I'm currently trying to numerically solve it (duh..). I'm using MATLAB and I run into the problem:

"Warning: System is inconsistent. Solution does not exist."

Yet I know a solution exists because I'm looking at an article that solved it numerically.

Any Hints/Advice?

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# A Beautiful Looking Gaussian Integral - Please HELP!

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