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Mathematica > Combinatorial Functions >

Built-in Mathematica Symbol

ClebschGordan

ClebschGordan[{j₁, m₁}, {j₂, m₂}, {j, m}]
gives the Clebsch-Gordan coefficient for the decomposition of

in terms of

The Clebsch-Gordan coefficients vanish except when and the satisfy a triangle inequality.

The parameters of ClebschGordan can be integers, half-integers or symbolic expressions.

Mathematica uses the standard conventions of Edmonds for the phase of the Clebsch-Gordan coefficients.

Use symbolic arguments to obtain exact symbolic answers:

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