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Hi. I've been trying to calculate a couple of commutators, namely [itex][\Psi(r),H][/itex] and [itex][\Psi^{\dagger}(r),H][/itex] where H is a free particle hamiltonian in second quantization. I have attached my attempts and I would greatly appreciate if anyone could tell me if I am right or if there is a better way to do it.