The commutator of two operators A, B is defined as [A, B] = AB - BA....

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The commutator of two operators A, B is defined as [A, B] = AB - BA. Prove the following relations which involve commutators of operators A, B, C : [A, B] = a[A, B] a € C [a, b] = 0 a EC [A, B+C] = [A, B] + [A, C] [A, BC] = [A, B]C + B[A, C] [[A, B], C]+[[B, C), A] + [[C, A], B] = 0 The commutator of two operators A, B is defined as [A, B] = AB - BA. Prove the following relations which involve commutators of operators A, B, C : [A, B] = a[A, B] a € C [a, b] = 0 a EC [A, B+C] = [A, B] + [A, C] [A, BC] = [A, B]C + B[A, C] [[A, B], C]+[[B, C), A] + [[C, A], B] = 0

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Solution Here are the steps and explanations for each relation 1 a QB aQ B a C This relation means t... View the full answer