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ClebschGordan




Mathematica Notation

Traditional Notation









Hypergeometric Functions > ClebschGordan[{j1,m1},{j2,m2},{j,m}] > Summation > Finite summation > Involving two Clebsch Gordan coefficients





http://functions.wolfram.com/07.38.23.0014.01









  


  








Input Form





Sum[(-1)^(Subscript[j, 1] - Subscript[m, 1]) (2 Subscript[j, 1] + 1) ClebschGordan[{Subscript[j, 1], Subscript[m, 1]}, {Subscript[j, 2], Subscript[m, 2]}, {j, m}] ClebschGordan[{Subscript[j, 1], Subscript[m, 1]}, {j, Derivative[1][m]}, {Subscript[j, 2], Derivative[1][Subscript[m, 2]]}], {Subscript[j, 1], Abs[j - Subscript[j, 2]], j + Subscript[j, 2]}, {Subscript[m, 1], -Subscript[j, 1], Subscript[j, 1]}] == Sqrt[2 Subscript[j, 2] + 1] Sqrt[2 j + 1] KroneckerDelta[m, -Derivative[1][m]] KroneckerDelta[Subscript[m, 2], -Derivative[1][Subscript[m, 2]]] /; \[ScriptCapitalP]\[ScriptH]\[ScriptY]\ \[ScriptS]\[ScriptI]\[ScriptC]\[ScriptA]\[ScriptL]\[ScriptCapitalQ][ {Subscript[j, 2] + j, m - Subscript[m, 2]}, {Subscript[j, 2], Subscript[m, 2]}, {j, m}]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-12-21