# Am I missing something?

For the following:

$$\begin{gather*} \hat{\Omega} = \frac{d}{d\theta}sin \theta \frac{d}{d\theta}\\function = e^{i\theta} \end{gather*}$$

Use the operator on the function and is it an eigenfunction of $\hat{\Omega}$?

Thanks. I don't think it is.

There is also another problem with $\hat{\Omega} = \frac{d^2}{dx^2} - 4x^2$. I don't think this is an eigenfunction either.