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physics_chemistry:orbitals:y [2026/06/20 15:45] – Maurits W. Haverkortphysics_chemistry:orbitals:y [2026/06/20 15:45] (current) – Maurits W. Haverkort
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-The complex spherical harmonics are defined as the simulatneous eigenstates of $L^2$ and $L_z$ and given by+The complex spherical harmonics are defined as the simultaneous eigenstates of $L^2$ and $L_z$ and given by
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 Y_l^{(m)}(\theta,\phi) = \frac{\sqrt{2 l+1}}{2 \sqrt{\pi }} \sqrt{\frac{(l-m)!}{(l+m)!}} e^{i m \phi } P_l^{(m)}(\cos (\theta )), Y_l^{(m)}(\theta,\phi) = \frac{\sqrt{2 l+1}}{2 \sqrt{\pi }} \sqrt{\frac{(l-m)!}{(l+m)!}} e^{i m \phi } P_l^{(m)}(\cos (\theta )),

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