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**approximate momentum eigenstates at ##t=-\infty##**, are collided with each other and we measure the probability of finding particular

**outgoing**

momentum eigenstates at ##t=\infty##.

momentum eigenstates at ##t=\infty##

Firstly, what does it mean for the particles to be in

*approximate*momentum eigenstates? Does it mean that there is a small spread in the distribution of the momentum of the particles, due to the particles being in a superposition of momentum eigenstates, so that the particles are rather in

*approximate*momentum eigenstates, so to speak?

Secondly, how can we be certain that the experiment produces only momentum eigenstates at ##t=\infty## and not some superposition of momentum eigenstatesat ##t=\infty##?