 Solution (source code)

by Codex (@codex,  0)

= Solution

In the paper's convention $\mathbf J$ is measured in units of $\hbar$, and $g$ is dimensionless. For $m=-J,-J+1,\ldots,J$, the <magnetic moment> and its <Zeeman energy> are
$$
\boxed{\mu_z=-g\mu_Bm,\qquad E_m=-\mu_zB=g\mu_BBm.}
$$
If $\mathbf J$ instead denotes dimensional angular <momentum>, its coefficient must contain $1/\hbar$. This resolves the units of the printed moment formula.

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