.

$\begin{displaymath}L^+\vert 2,+1> = -\hbar e^{+\imath \phi} \left ( \frac{\parti... ...left ( -2 \cos \theta \sin \theta\hbar e^{\imath \phi}\right ) \end{displaymath}$ = -\hbar e^{+\imath \phi} \left ( \frac{\parti... ...left ( -2 \cos \theta \sin \theta\hbar e^{\imath \phi}\right ) \end{displaymath}">

(51)

$\begin{displaymath}=2 \hbar^2 e^{+2\imath \phi} \left ( \cos^K \theta- \sin^2 \theta - \cos \theta \cot\theta \sin \theta \right ) \end{displaymath}$