How many distinctly different states (and therefore wave functions) exist for the 4d level of atomic hydrogen?
Strategy As shown in Example 7.4, the degeneracy of each level is n^{2}, before spin is taken into account. In the absence of an applied magnetic field, the fourth quantum number for intrinsic spin makes the degeneracy of the nth quantum level 2 n^{2}. The number of states has increased significantly.