Verify, using the coupling coefficients for the 6 5 product states in Table 6.9,

Verify, using the coupling coefficients for the Γ₆ ⊗ Γ₅ product states in Table 6.9, that the interaction (6.6.5) acting on the product states gives the same energy shift for both Γ₇ states, and a common energy shift for the four Γ₈ states.

Transcribed Image Text:

Hso = L. Š = (LxSx + LySy + Lz Sz) § ((L+ + L_)(S+ + S_) — (L+ − L_)(S+ − S_)) + §LS₂ - =(L+S_+L_S+ + 2LzS₂), = || = (6.6.5)