SixJSymbol

SixJSymbol[{j1,j2,j3},{j4,j5,j6}]

gives the values of the Racah 6j symbol.

Details

  • The 6j symbols vanish except when certain triples of the j_(i) satisfy triangle inequalities.
  • The parameters of SixJSymbol can be integers, halfintegers, or symbolic expressions.

Examples

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Basic Examples  (2)

Use symbolic arguments to obtain exact symbolic answers:

Scope  (2)

SixJSymbol works with integer and halfinteger arguments:

TraditionalForm formatting:

Applications  (2)

Plot 6j symbol coefficients as a function of j_(1) and j_(2):

Confirm the Wigner formula for the asymptotic value of SixJSymbol:

Properties & Relations  (2)

Generate a 6-j symbol from a generating function:

Express through ClebschGordan coefficients:

Possible Issues  (1)

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

Introduced in 1991
 (2.0)