# Fourier transformation on discrete function

1. Oct 21, 2014

### KFC

Hi there,
I am reading a material on the application of Fourier transformation in physics. One application is to transform the position-dependent function to k-dependent function, i.e.$F(k) = FFT[f(x)]$

We know that the in physics, the wavenumber could be written in momentum as $k=p/\hbar$. My question is if I have a discrete function

$f(x) = {f_0, f_1, ... f_{N-1}, f_N}$

which doesn't have close form but just given by a simulation. If I do the discrete fourier transformation, I can have the discrete $F(k)$ but is that any way to obtain $F(p)$ from $F(k)$?

2. Oct 26, 2014