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Homework Help: Wigner D-matrix

  1. Oct 19, 2011 #1
    1. The problem statement, all variables and given/known data
    Show that the matrices [itex] \mathcal{D}_{m',m}^{(j)}=\langle j,m'|\exp(-\frac{i}{\hbar}\vec{J}\hat{n}\Phi)|j,m\rangle[/itex] form a group (i.e. multiplication, inverse and identity). No idea how to even begin.
  2. jcsd
  3. Oct 19, 2011 #2


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    What happens if you choose the axis of rotation [itex] \displaystyle{\hat{n}=\hat{k}} [/itex], with k along Oz and unit modulus ?
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