GATE 2023 PH – Question 50
$\psi(x)=M$ for $-a<x<a$ and zero otherwise. Which plot represents the momentum probability density $|\varphi(p)|^2$?
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Correct answer: (C) Option C in the figure
Explanation
The Fourier amplitude is proportional to $\sin(pa/\hbar)/p$, whose square has a central peak with zeros and side lobes.