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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 and one 6j symbol





http://functions.wolfram.com/07.38.23.0040.01









  


  










Input Form





Sum[(-1)^(e + d - \[Beta]) ((Sqrt[2 c + 1] (2 d + 1))/Sqrt[2 e + 1]) ClebschGordan[{a, \[Alpha]}, {b, \[Beta]}, {c, \[Gamma]}] ClebschGordan[{f, \[CurlyPhi]}, {c, \[Gamma]}, {e, \[Epsilon]}] SixJSymbol[{a, b, c}, {e, f, d}], {c, Max[Abs[a - b], Abs[e - f]], Min[a + b, e + f]}, {\[Gamma], -c, c}] == ClebschGordan[{b, -\[Beta]}, {e, \[Epsilon]}, {d, \[Delta]}] ClebschGordan[{a, \[Alpha]}, {f, \[CurlyPhi]}, {d, \[Delta]}]










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





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