SEARCH MATHEMATICA 8 DOCUMENTATION

THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

Mathematica > Mathematics and Algorithms > Discrete Mathematics > Combinatorial Functions >

Built-in Mathematica Symbol

SixJSymbol

SixJSymbol[{j₁, j₂, j₃}, {j₄, j₅, j₆}]
gives the values of the Racah 6-j symbol.

The 6-j symbols vanish except when certain triples of the satisfy triangle inequalities.

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

Use symbolic arguments to obtain exact symbolic answers:

Use symbolic arguments to obtain exact symbolic answers:

SixJSymbol works with integer and half-integer arguments:

Plot 6-

symbol coefficients as a function of

and

Confirm the Wigner formula for the asymptotic value of SixJSymbol:

Generate a 6-j symbol from a generating function:

Express through Clebsch-Gordan coefficients:

A message is issued and the result 0 returned for unphysical cases: