Find the commutators of the spherical operators (a_{0, pm 1}^{dagger}) defined in Eq. (11.23) with the angular

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Find the commutators of the spherical operators \(a_{0, \pm 1}^{\dagger}\) defined in Eq. (11.23) with the angular momentum operators. Thus show that they transform as rank-1 spherical tensors under SO(3).

Data from Eq. 11.23

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