Question: Verify, using the coupling coefficients for the 6 5 product states in Table 6.9, that the interaction (6.6.5) acting on the product

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. Hso = L. = (LxSx + LySy + Lz Sz) ((L+ + L_)(S+ + S_) (L+ L_)(S+ S_)) + LS - =(L+S_+L_S+ + 2LzS),

Hso = L. = (LxSx + LySy + Lz Sz) ((L+ + L_)(S+ + S_) (L+ L_)(S+ S_)) + LS - =(L+S_+L_S+ + 2LzS), = || = (6.6.5)

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In order to calculate the result of the action of the operator L5 we compute the effect of L L Lz on u lu Ju and the effect of S S S on v and v Simila... View full answer

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