= Transverse orbital Zeeman mixing
{title2=$E_\pm=(E_t+E_0)/2\pm\sqrt{(E_t-E_0)^2/4+(\mu_BB)^2}$}
For an axially split $p$ multiplet with $p_z$ <energy> $E_0$ and equal $p_x,p_y$ <energies> $E_t$, a transverse $x$-directed <magnetic field> leaves $p_x$ unchanged and couples $p_y,p_z$ through the <orbital angular momentum> operator $L_x$. The <matrix element> has modulus $\mu_BB$, giving the two <energy eigenvalues> in the title. For $\mu_BB\ll|E_t-E_0|$, the orbital shifts are quadratic despite a linear <Zeeman energy> operator. A full quadratic-field calculation also includes the diamagnetic term; <electron spin> gives its own linear contribution.
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