If = 0, then j = s, m j = m s , and the good

If ℓ = 0, then j = s, m_j = m_s, and the “good” states are the same (|nm_s) for weak and strong fields. Determine E¹_z (from Equation 7.74) and the fine structure energies (Equation 7.69), and write down the general result for the ℓ = 0  Zeeman effect—regardless of the strength of the field. Show that the strong-field formula (Equation 7.86) reproduces this result, provided that we interpret the indeterminate term in square brackets as 1.

Transcribed Image Text:

Enj = 13.6eV 136v [ 1+ / (+1/2-1)] n² j+ (7.69)