Question: (a) If S^2 = (S^1 + S^2 + . . .) (S1 + S2 + . . .), show that [S^2, P^ik] = 0,

(a) If S^2 = (S^1 + S^2 + . . .) ∙ (S1 + S2 + . . .), show that [S^2, P^ik] = 0, where P^ik is the exchange operator.
(b) Show that [L^2, P^ik] = 0, where L is the total electronic orbital angular momentum.

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