Analyze the Zeeman effect for the n = 3 states of hydrogen, in the weak, strong, and intermediate field regimes. Construct a table of energies (analogous to Table 7.2), plot them as functions of the external field (as in Figure 7.11), and check that the intermediate-field results reduce properly in the two limiting cases.

for any vector operator V (and L + 2S is a vector operator).

Table 7.2: Energy levels for the n = 2 states of hydrogen, with fine structure and Zeeman splitting.

Figure 7.11: Zeeman splitting of the n = 2 states of hydrogen, in the weak, intermediate, and strong field regimes.

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(₁|v²|j₁)=C, VIA mjom';