- #1

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[tex]

\begin{gather*}

\hat{\Omega} = \frac{d}{d\theta}sin \theta \frac{d}{d\theta}\\function = e^{i\theta}

\end{gather*}

[/tex]

Use the operator on the function and is it an eigenfunction of [itex]\hat{\Omega}[/itex]?

Thanks. I don't think it is.

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