自旋磁矩 \(\mu\)与磁场的作用能:

\(\mathbf{\mu} \cdot \mathbf{B} =\mu_x B_x + \mu_y B_y + \mu_z B_z \)

量子力学下,自旋磁矩变成了算符:

\(\mathbf{\mu} =g \left( \frac{e}{2mc} \right) \mathbf{S} \)

对电子,\(g=2\),自旋\( \mathbf{S} =\frac{\hbar}{2} \sigma \)

\(\mathbf{\mu} \cdot \mathbf{B} =\frac{e \hbar}{2mc} (\sigma_x B_x + \sigma_y B_y + \sigma_z B_z) \)