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J
Very nice. Thanks, @julian.
Actually, it is easier to show by variation that ##~|l,l\rangle~## (or its rotations) yield a maximum...
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J
We wish to maximise ##\langle L_x \rangle^2 + \langle L_y \rangle^2 + \langle L_z \rangle^2##. Write
\begin{align*}
| \psi_0 \rangle =...