What is the Fourier Transform of the spatial portion of $Ψ(x,t)=A\exp(-b|x-2|)\exp(-iwt)$?
I tried applying the regular exponential Fourier transform, but not getting it.
Do you just bring out the $exp(iwt)$? If so, then how do you integrate the $exp(-b|x-2|)exp(-ikx)$ left inside from negative to positive infinity?
Any help will be much appreciated. Thank you very much!