Table 2: The expectation value of the magnetic dipole moment operator (Eq. 16) for the torus in Figure 1, and the corresponding classical calculation (Eq. 11) as a function of the applied magnetic field.

B field (T) Quantum M Classical M Difference (percent)
200 -3.62 -3.74 -3.21
150 -6.81 -6.83 -1.67
100 -4.57 -4.62 -1.08
50 -5.03 -5.07 -0.79
0 -5.48 -5.52 -0.72
-50 -5.93 -5.96 -0.50
-100 -6.37 -6.40 -0.47
-150 -6.81 -6.83 -0.29
-200 -7.25 -7.28 -0.41