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ClebschGordan




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.38.03.0023.01









  


  








Input Form





ClebschGordan[{Subscript[j, 1], Subscript[m, 1]}, {Subscript[j, 1] + 1, Subscript[m, 1] + 1}, {j, 2 Subscript[m, 1] + 1}] == (-1)^((j - 2 Subscript[j, 1] - 1)/2) (j (j + 1) + (2 Subscript[m, 1] + 1) (2 Subscript[j, 1] + 2)) ((((2 Subscript[j, 1] + j + 1)/2)! Sqrt[(j + 2 Subscript[m, 1] + 1)!] Sqrt[(j - 2 Subscript[m, 1] - 1)!] Sqrt[2 j + 1] Sqrt[(2 Subscript[j, 1] - j + 1)!])/(2 ((j + 2 Subscript[m, 1] + 1)/2)! ((j - 2 Subscript[m, 1] - 1)/2)! ((2 Subscript[j, 1] - j + 1)/2)! Sqrt[Subscript[j, 1] + Subscript[m, 1] + 1] Sqrt[Subscript[j, 1] + Subscript[m, 1] + 2] Sqrt[j] Sqrt[j + 1] Sqrt[(2 Subscript[j, 1] + j + 2)!])) /; Element[(2 Subscript[j, 1] + j - 1)/2, Integers] && \[ScriptCapitalP]\[ScriptH]\[ScriptY]\[ScriptS]\[ScriptI]\[ScriptC]\ \[ScriptA]\[ScriptL]\[ScriptCapitalQ][{Subscript[j, 1], Subscript[m, 1]}, {Subscript[j, 1] + 1, Subscript[m, 1] + 1}, {j, 2 Subscript[m, 1] + 1}]








Standard Form





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MathML Form







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</apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29