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Parity rule for wigner D-matrices

  1. Oct 15, 2011 #1

    Does anyone know how Wigner D-matrices transform under parity?

    Is it something like
    [tex]D^j_{m m'} (\pi - \theta, \phi + \pi) = (-1)^{j +m-m'} D^j_{m m'}(\theta, \phi)[/tex]???
    Last edited: Oct 15, 2011
  2. jcsd
  3. Oct 17, 2011 #2
    Probably for j=(2n+1)/2 this is not defined because half-integer spin operator does not commute with the parity operator.
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