Integral of e^(i x v) /(x^2 + a ^2) from -Infty to Infty

kurushishraqi · Mar 12, 2011

Hi!

Solving a problem in quantum mechanics I found this integral, but I have no idea how to solve it:

[tex]\int_{-\infty}^{ \infty} du \frac{e^{iuv}}{u^2+a^2}[/tex]

with [tex]a \in[/tex]Reals.

If somebody have an idea, it would be appreciated. Thanks!

diazona · Mar 13, 2011

Hmm... are you familiar with contour integration?

kurushishraqi · Mar 13, 2011

Well, no. But with that info now I can solve my problem. Thanks a lot!

Integral of e^(i x v) /(x^2 + a ^2) from -Infty to Infty

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