Question: Show that the spatial field operators (r) and (r) defined in (4.5.1) have commutation relations similar to those of the momentum state operators,

Show that the spatial field operators ψ(r) and ψ^†(r) defined in (4.5.1) have commutation relations similar to those of the momentum state operators, that is,

You will need the identity

[(r), (r)] = 8(r r'). (4.5.7)

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