(a) Work out the Clebsch–Gordan coefficients for the case s₁ = 1/2, s₂ anything.
such that is an eigenstate of S². Use the method of Equations 4.177 through 4.180. If you can’t figure out what S_x⁽²⁾ (for instance) does to |S₂m₂>, refer back to Equation 4.136 and the line before Equation 4.147.
where the signs are determined by s = s₂ ± 1/2 .
(b) Check this general result against three or four entries in Table 4.8.

Equation 4.136

Equation 4.147

Transcribed Image Text:

• ((7 + m) 7² 787 | a + ((7 − w) 7 is 7 | v = (ms||