PX262 - G6c - zeeman effect

considering the interaction of the moments with the external magnetic field
for an external magnetic field with magnitude $B_{0}$ aligned along the $z$ -axis, the hamiltonian operator is given by:

{\hat{H}}_{B} = \frac{e}{2 m} B_{0} ({\hat{L}}_{z} + 2 {\hat{S}}_{z}) = \frac{μ_{B}}{ℏ} B_{0} ({\hat{L}}_{z} + 2 {\hat{S}}_{z})