Question: Prove the relations (4.8.11) using the known commutation relation [a, a ] = 1 for bosons and the anticommutation relation {a, a }

Prove the relations (4.8.11) using the known commutation relation [a, a^†] = 1 for bosons and the anticommutation relation {a, a^†} = 1 for fermions. [k, ak] = -akk,k' [Nk, at] =a8kk, (4.8.11)

[k, ak] = -akk,k' [Nk, at] =a8kk, (4.8.11)

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