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In: Physics

1. Consider a free, unbound particle with V (x) = 0 and the initial state wave...

1. Consider a free, unbound particle with V (x) = 0 and the initial state wave function: Ψ(x, 0) = Ae−a|x| a>0

(a) (3 pts) Normalize the initial state wave function.

(b) (5 pts) Construct Ψ(x, t).

(c) (5 pts) Discuss the limiting cases, i.e. what happens to position and momentum when a is very small and when a is very large?

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