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ClebschGordan




Mathematica Notation

Traditional Notation









Hypergeometric Functions > ClebschGordan[{j1,m1},{j2,m2},{j,m}] > Specific values > Specialized values > Fixed j1, j2, j





http://functions.wolfram.com/07.38.03.0027.01









  


  








Input Form





ClebschGordan[{Subscript[j, 1], 0}, {Subscript[j, 2], 0}, {j, 0}] == (-1)^((Subscript[j, 1] + Subscript[j, 2] - j)/2) ((((Subscript[j, 1] + Subscript[j, 2] + j)/2)! Sqrt[2 j + 1] Sqrt[(-Subscript[j, 1] + Subscript[j, 2] + j)!] Sqrt[(Subscript[j, 1] - Subscript[j, 2] + j)!] Sqrt[(Subscript[j, 1] + Subscript[j, 2] - j)!])/ (((-Subscript[j, 1] + Subscript[j, 2] + j)/2)! ((Subscript[j, 1] - Subscript[j, 2] + j)/2)! ((Subscript[j, 1] + Subscript[j, 2] - j)/2)! Sqrt[(Subscript[j, 1] + Subscript[j, 2] + j + 1)!])) /; Element[(Subscript[j, 1] + Subscript[j, 2] + j)/2, Integers] && \[ScriptCapitalT]\[ScriptR]\[ScriptI]\[ScriptA]\[ScriptN]\[ScriptG]\ \[ScriptU]\[ScriptL]\[ScriptA]\[ScriptR]\[ScriptCapitalQ][Subscript[j, 1], Subscript[j, 2], j]








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)





2001-10-29