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Notizen: A Note on Rotation Matrices

Rotation matrices d\^m'(0) find wide applications in molecular and nuclear theory. They are known since the famous work of W I G N E R 1 on the rotation group. As the derivation is complicated and needs group theory, a simple algebraic method will be valuable. The present note gives a simplification of Schwinger's solution of d $ m ' ( 0 ) avoiding the unnecessary complicated generating function trick2. We follow the customary notation and repeat for completeness the defining equations. The problem is the evaluation of the matrixelement