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I hope some one can help me with this one:

I have a Lorentzian line profile

L(√_{L}) = 1 / ((√_{L}- √_{0})^2 + ([itex]\Gamma[/itex]^{2}/4))

for v = 0.

For v [itex]\neq[/itex] 0 I have

[itex]\int[/itex](1 / ((√_{L}- √_{0}- kv_{z})^2 + ([itex]\Gamma[/itex]^{2}/4)) * g(v_{z}) dv_{z})

I suppose the factor g(v_{z}) dv_{z}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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# Lorentzian line shape profile

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