At t=0 a particle has the wave function | AePo*/h -a
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Transcribed Image Text:At t=0 a particle has the wave function
-a <x<a
Y(x,0)=•
otherwise
Th
where A is the normalization constant, and the momentum is po
a
a) Find A and calculate the corresponding wave function Þ(p,0) in momentum space.
sin((p, - p)a/ h)
(Po - p)
Hint: 0(p,0) is proportional to
To get credit you must show the intermediate steps in the derivation.
b) Find the probability of finding the particle with momentum in the interval 0< p< Po-
c) Find (x) and (p).
Notice that since we are calculating these values at t = 0 you must work in momentum space to
calculate (p).
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