Spin-weighted Spherical Harmonics - Relation To Wigner Rotation Matrices

Relation To Wigner Rotation Matrices

D^\ell_{-m s}(\phi,\theta,-\psi) =(-1)^m \sqrt\frac{4\pi}{2\ell+1} {}_sY_{\ell m}(\theta,\phi) e^{is\psi}

This relation allows the spin harmonics to be calculated using recursion relations for the D-matrices.

Read more about this topic:  Spin-weighted Spherical Harmonics

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