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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/07.38.03.0021.01









  


  








Input Form





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








Standard Form





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MathML Form







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<list> <apply> <ci> Subscript </ci> <ci> j </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> m </ci> <cn type='integer'> 1 </cn> </apply> </list> <list> <apply> <plus /> <apply> <ci> Subscript </ci> <ci> j </ci> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> m </ci> <cn type='integer'> 1 </cn> </apply> </list> <list> <ci> j </ci> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <ci> Subscript </ci> <ci> m </ci> <cn type='integer'> 1 </cn> </apply> </apply> </list> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29