#spin three half

Spin three halves spin interaction

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Q: [1] pr 3.33

A spin \( 3/2 \) nucleus subjected to an external electric field has an interaction Hamiltonian of the form

\begin{equation}\label{eqn:spinThreeHalvesNucleus:20} H = \frac{e Q}{2 s(s-1) \Hbar^2} \lr{ \lr{\PDSq{x}{\phi}}_0 S_x^2 +\lr{\PDSq{y}{\phi}}_0 S_y^2 +\lr{\PDSq{z}{\phi}}_0 S_z^2 }. \end{equation}

Show that the…