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Using FFT to find time-dependence of quantum mechanical free particle?

I am trying to visualize the time dependence of a free particle given an initial wave-function using Python and I just wanted to know if I could use the in built FFT implementation from NumPy to find ...
lwang94's user avatar
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Fourier transform of a wavefunction

After solving the Schrodinger equation numerically by finite difference method for some potential. I can plot the wavefunction with the distance from nucleus and I get the right theoretical shape. ...
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