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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)##?

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# Fourier transformation on discrete function

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