## Lorentzian line shape profile

Hi

I hope some one can help me with this one:

I have a Lorentzian line profile

L(√L) = 1 / ((√L - √0 )^2 + ($\Gamma$2/4))

for v = 0.

For v $\neq$ 0 I have

$\int$(1 / ((√L - √0 - kvz)^2 + ($\Gamma$2/4)) * g(vz) dvz)

I suppose the factor g(vz) dvz is a velocity factor, but how do I calculate it or where can I read more about the Lorentzian line shape profile with this velocity factor. I can only find descriptions about the Lorentzian without this velocity factor.

Hope someone can give me a hint or an explanation to this as I do not understand it.

Thanks :-)
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