Show that the commutation relations of (hat{a}_{mathbf{p}}) and (hat{a}_{mathbf{p}}^{dagger}) in Eq. (6.2.17) reproduce each of the Schrdinger

Show that the commutation relations of \(\hat{a}_{\mathbf{p}}\) and \(\hat{a}_{\mathbf{p}}^{\dagger}\) in Eq. (6.2.17) reproduce each of the Schrödinger picture canonical commutation relations in Eq. (6.2.12).