What is the Fourier Transform of the spatial portion of $\Psi(x,t)=A\exp(-b|x-2|)\exp(-i\omega t)$?
I'm not sure how to do it for the "spatial portion". I've only done Fourier transforms for functions of a single variable $f(x)$. I tried using the exponential Fourier transform $F(k)$ on it, but the integral seems to be impossible to solve. Any help/guidance/answer will be much appreciated.
Thank you very much!
I searched many times in many ways for how I would do the Fourier transform for the "spatial" portion, which I guess is like a 'partial Fourier transform with respect to x', and didn't find anything. My question here is the only relevant result on the internet at the moment it seems!