Wigner Matrix or Wigner D-Matrix?

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Hello guys,

I'm reading the attached article, and I found there the Wigner Matrix, the first equation in the second page... is that the Wigner D-Matrix? I really got lost in that. It doesn't look like the Wigner D-Matrix I see everywhere, and it's not the so-called random matrix... anyone knows what that really is? please explain!

Thank you for any efforts.
 

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It's not the Wigner D-matrix from the representation theory of SU(2), but the matrix of the Wigner function from quantum transport equation.
 
Thank you for your reply.

Can that be found in some book? I don't know where to read about that.
 

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