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**1. 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 ?

**2. Homework Equations**

Is the right answer

Is the right answer

Yes

No

It Depends ?

**3. 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