- #1

SeannyBoi71

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## Homework Statement

So this is a physics problem, but this question doesn't really have to do with the "physics" part of it as much as simply calculating the Fourier transform. (This is a second year physics course and our prof is trying to briefly teach us math tools like this in learning quantum mechanics).

## Homework Equations

[tex] \tilde{g}(\omega) = \frac{1}{\sqrt2\pi} \int g(t) e^{-i \omega t} dt [/tex]

## The Attempt at a Solution

I have done the calculation of g(ω) several times and got an answer

[tex] \frac{2}{(\tau \omega ^2 \sqrt2 \pi)} (1 - cos(\omega \tau)) [/tex]

I believe it is right, but since the work to get it is extensive I don't want to type it up unless someone thinks I made an error. My actual concern is that I have a problem sketching the transform. I graphed it on Wolfram so I have a general idea, but I really have no idea how to find the amplitude, width, and whether it should be centred at ω=0 or at a k

_{0}value. Any insight would be greatly appreciated.

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