# SixJSymbol

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

gives the values of the Wigner 6 symbol.

# Details

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

# Examples

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## Basic Examples(2)

Evaluate a 6 symbol with integer arguments:

Use symbolic arguments to obtain exact symbolic answers:

## Scope(2)

SixJSymbol works with integer and halfinteger arguments:

## Applications(2)

Plot the 6 symbol as a function of and :

Confirm the Wigner formula for the asymptotic value of SixJSymbol:

## Properties & Relations(2)

Generate a 6-j symbol from a generating function:

Express 6 symbols in terms of ClebschGordan coefficients:

## Possible Issues(1)

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

Wolfram Research (1991), SixJSymbol, Wolfram Language function, https://reference.wolfram.com/language/ref/SixJSymbol.html.

#### Text

Wolfram Research (1991), SixJSymbol, Wolfram Language function, https://reference.wolfram.com/language/ref/SixJSymbol.html.

#### CMS

Wolfram Language. 1991. "SixJSymbol." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SixJSymbol.html.

#### APA

Wolfram Language. (1991). SixJSymbol. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SixJSymbol.html

#### BibTeX

@misc{reference.wolfram_2024_sixjsymbol, author="Wolfram Research", title="{SixJSymbol}", year="1991", howpublished="\url{https://reference.wolfram.com/language/ref/SixJSymbol.html}", note=[Accessed: 29-May-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_sixjsymbol, organization={Wolfram Research}, title={SixJSymbol}, year={1991}, url={https://reference.wolfram.com/language/ref/SixJSymbol.html}, note=[Accessed: 29-May-2024 ]}