next up previous
Next: . Up: Alternative Formulations for Angular Operators Previous: .

.

(*restored equation*)

\begin{displaymath}L_x -\imath L_y = \hbar\left ( \imath \sin \phi - \cos \phi ... ...+ \sin \phi \right )\cot \theta \frac{\partial}{\partial \phi} \end{displaymath}

i.e.,

\begin{displaymath}L_x -\imath L_y = \hbar\left ( \imath \sin \phi - \cos \phi ... ...th\sin \phi \right )\cot \theta \frac{\partial}{\partial \phi} \end{displaymath}

or

\begin{displaymath}L_x -\imath L_y = -\hbar\left ( \imath \sin \phi - \cos \phi... ...th\sin \phi \right )\cot \theta \frac{\partial}{\partial \phi} \end{displaymath}

or

\begin{displaymath}L_x -\imath L_y = -\hbar\left ( \imath \sin \phi - \cos \phi... ...th\sin \phi \right )\cot \theta \frac{\partial}{\partial \phi} \end{displaymath}

which is,

\begin{displaymath}-\hbar e^{-\imath \phi} \left ( \frac{\partial}{\partial \theta} - \imath \cot K \frac{\partial}{\partial \phi} \right ) \end{displaymath}



2001-12-26