Prove that the 3D harmonic oscillator orbital angular momentum operators are given by \(\boldsymbol{L}=i \boldsymbol{a} \times \boldsymbol{a}^{\dagger}\). Show that the components \(L_{k}\) obey the commutator (10.13).

Data from Eq. 10.13

Transcribed Image Text:

[L, a]] = iejka,