Table 1: The expectation value of the magnetic dipole moment operator (Eq. 10) for the torus of Figure 1, and the corresponding classical calculation (Eq. 11) as illustrated in Figure 10 for the various eigenfunctions of the torus.

Eigenstate Number Quantum M Classical M Difference (%)
-10 9.08 9.06 0.22
-8 7.29 7.31 -0.27
-6 5.48 5.50 -0.36
-4 3.66 3.70 -1.08
-2 1.82 1.83 -0.55
0 0 0 NA
2 -1.83 -1.85 -1.08
4 -3.66 -2.60 -0.81
6 -5.48 -5.52 -0.72
8 -7.29 -7.31 -0.27
10 -9.08 -9.06 0.22