- #1
QuantumMech
- 16
- 0
For the following:
[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.
[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.