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I have a question related to representation of rotation operator R in the basis spanned by the eigenvectors of J^{2}and J_{z}. I am studying from Quantum Mechanics by Zettili. The development of Wigner D-matrix and its elements D^{j}(Wigner functions) is clear. But the book goes on to say that the Wigner functions are joint eigenfunctions of J^{2}and J_{z}. How can the matrix elements be the eigenfunctions?

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# Homework Help: Are Wigner Functions eigenfunctions of J^2 and Jz?

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