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(*restored equation*)

$\begin{displaymath}=L_x^2 + L_y^2 +L_z^2 + \imath (-\imath \hbar L_z) - L_z^2 \end{displaymath}$

i.e.

$\begin{displaymath} L^+L^- = L^2 + \hbar L_z - L_z^2 \end{displaymath}$

(44)

and repeating this for the other order, one has

$\begin{displaymath} L^-L^+ = L^2 - \hbar L_z - L_z^2 \end{displaymath}$

(45)

2001-12-26