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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, m1, m2





http://functions.wolfram.com/07.38.03.0004.01









  


  








Input Form





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








Standard Form





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MathML Form







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










Rule Form





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





2001-10-29