3. Let $\Psi(x, t)$ be the wave function of a spinless particle corresponding to a plane wave in three dimensions. Show that $\Psi^*(x, -t)$ is the wave function for the plane wave with the momentum direction reversed. (10)
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The momentum is $\mathbf{p}=\hbar\mathbf{k}$ and the energy $E=\hbar\omega$. Show more…
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