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6-j symbol

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  1. Wigner's 6-j symbols were introduced by Eugene Paul Wigner in 1940, and published in 1965

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 10, 2009
  2. They are related to Racah's W-coefficients by \beginBmatrix j₁ & j₂ & j₃\\ j₄ & j₅ & j₆ \endBmatrix = (-1)ʲ_¹⁺ʲ_²⁺ʲ_⁴⁺ʲ_⁵W(j₁j₂j₅j₄;j₃j₆)

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 10, 2009
  3. They have higher symmetry than Racah's W-coefficients

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 10, 2009
  4. invariant under the permutation of any two columns

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 10, 2009
  5. When j₆=0 the expression for the 6-j symbol is: \beginBmatrix j₁ & j₂ & j₃\\ j₄ & j₅ & 0 \endBmatrix = \frac\deltaj_₂,j_₄\deltaj_₁,j_₅\sqrt(2j₁+1)(2j₂+1) (-1)ʲ_¹⁺ʲ_²⁺ʲ_³\Delta(j₁,j₂,j₃)

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 10, 2009
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