Section 8.7: Exploring Fourier Transforms by Matching

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Shown are six Gaussian wave functions at t = 0 in color-as-phase representation.  In the animation, ħ = 2m = 1.

1. If the wave functions shown are in position space, what do the momentum-space wave functions look like?
2. If the wave functions shown are in momentum space, what do the position-space wave functions look like?

Draw your answers making sure to label axes and to represent the phase of the resulting wave function as lines across your wave function.  Once you do so, check your answers with the animation provided below.

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