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Formula:10451

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Digital Library of Mathematical Functions ID 34.5.E18

∑ j ( - 1 ) j 1 + j 2 + j ⁢ ( 2 ⁢ j + 1 ) ⁢ 6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j ⁢ j 2 ⁢ j 1 ⁢ j ′ = ( 2 ⁢ j 1 + 1 ) ⁢ ( 2 ⁢ j 2 + 1 ) ⁢ δ j ′ , 0 , subscript 𝑗 superscript 1 subscript 𝑗 1 subscript 𝑗 2 𝑗 2 𝑗 1 sixj subscript 𝑗 1 subscript 𝑗 2 𝑗 subscript 𝑗 2 subscript 𝑗 1 superscript 𝑗 ′ 2 subscript 𝑗 1 1 2 subscript 𝑗 2 1 Kronecker superscript 𝑗 ′ 0 {\displaystyle{\displaystyle\sum_{j}(-1)^{j_{1}+j_{2}+j}(2j+1)\mathit{6j}{j_{1% }}{j_{2}}{j}{j_{2}}{j_{1}}{j^{\prime}}=\sqrt{(2j_{1}+1)(2j_{2}+1)}\,\delta_{j^% {\prime},0},}}


Constraint(s)

Symbols List

  • δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}} :
  • 6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 3 ⁢ l 1 ⁢ l sixj subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 subscript 𝑙 1 𝑙 {\displaystyle{\displaystyle\mathit{6j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3% }}}{\NVar{l_{1}}}{\NVar{l}\)\@add@PDF@RDFa@triples\end{document}}}} : $$\mathit{6j}$$ symbol
  • j , j r 𝑗 subscript 𝑗 𝑟 {\displaystyle{\displaystyle j,j_{r}}} : non-negative integers or non-negative integers plus one half.
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This page was last edited on 3 March 2024, at 02:57.
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