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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/07.38.23.0025.01









  


  










Input Form





Sum[ClebschGordan[{b, \[Beta]}, {a, \[Alpha]}, {c, \[Gamma]}] ClebschGordan[{f, \[CurlyPhi]}, {j, \[Mu]}, {c, \[Gamma]}] ClebschGordan[{b, \[Beta]}, {g, \[Eta]}, {e, \[Epsilon]}] ClebschGordan[{f, \[CurlyPhi]}, {d, \[Delta]}, {e, \[Epsilon]}], {\[Beta], -b, b}, {\[Gamma], -c, c}, {\[Epsilon], -e, e}, {\[CurlyPhi], -f, f}] == (-1)^(a - b + f - j) (2 c + 1) (2 e + 1) Sum[ClebschGordan[{g, \[Eta]}, {j, \[Mu]}, {k, \[Kappa]}] ClebschGordan[{d, \[Delta]}, {a, \[Alpha]}, {k, \[Kappa]}] NineJSymbol[{c, b, a}, {f, e, d}, {j, g, k}], {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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Rule Form





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





2001-12-21





© 1998-2014 Wolfram Research, Inc.