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ClebschGordan






Mathematica Notation

Traditional Notation









Hypergeometric Functions > ClebschGordan[{j1,m1},{j2,m2},{j,m}] > Summation > Finite summation > Involving four Clebsch Gordan coefficients





http://functions.wolfram.com/07.38.23.0029.01









  


  










Input Form





Sum[ClebschGordan[{b, \[Beta]}, {c, \[Gamma]}, {a, \[Alpha]}] ClebschGordan[{f, \[CurlyPhi]}, {j, \[Mu]}, {c, \[Gamma]}] ClebschGordan[{e, \[Epsilon]}, {g, \[Eta]}, {b, \[Beta]}] ClebschGordan[{e, \[Epsilon]}, {f, \[CurlyPhi]}, {d, \[Delta]}], {\[Beta], -b, b}, {\[Gamma], -c, c}, {\[Epsilon], -e, e}, {\[CurlyPhi], -f, f}] == Sqrt[2 b + 1] Sqrt[2 c + 1] Sqrt[2 d + 1] Sum[Sqrt[2 k + 1] ClebschGordan[{g, \[Eta]}, {j, \[Mu]}, {k, \[Kappa]}] ClebschGordan[{d, \[Delta]}, {k, \[Kappa]}, {a, \[Alpha]}] NineJSymbol[{a, b, c}, {d, e, f}, {k, g, j}], {k, Max[Abs[g - j], Abs[a - d]], Min[g + j, a + d]}, {\[Kappa], -k, k}]










Standard Form





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MathML Form







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</ci> </list> </apply> <apply> <ci> ClebschGordan </ci> <list> <ci> d </ci> <ci> &#948; </ci> </list> <list> <ci> k </ci> <ci> &#954; </ci> </list> <list> <ci> a </ci> <ci> &#945; </ci> </list> </apply> <list> <list> <list> <ci> a </ci> <ci> b </ci> <ci> c </ci> </list> <list> <ci> d </ci> <ci> e </ci> <ci> f </ci> </list> <list> <ci> k </ci> <ci> g </ci> <ci> j </ci> </list> </list> </list> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-12-21