- #1
Safinaz
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Homework Statement
## \psi_1 ## and ## \psi_2 ## are momentum eigenfunctions corresponding to
different momentum eigenvalues ## p_1 \not= p_2 ##. Is ## \psi_1 ## + ## \psi_2 ## also momentum eigenfunction ?
Homework Equations
Is the right answer[/B]
Yes
No
It Depends ?
The Attempt at a Solution
I think yes, because
$$ \frac{h}{i} \frac{d}{dx} \psi_1 = p_1 \psi_1, $$
$$ \frac{h}{i} \frac{d}{dx} \psi_2 = p_2 \psi_2, $$
Then
$$ \frac{h}{i} \frac{d}{dx} (\psi_1+\psi_2) = p_1+p_2 (\psi_1+\psi_2), $$
is valid also