DLMF:34.5.E10
type: Item
Digital Library of Mathematical Functions ID: 34.5.E10
DLMF defining formula: <math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\mathit{6j}{j_{1}}{j_{2}}{j_{3}}{l_{1}}{l_{2}}{l_{% 3}}=\mathit{6j}{\frac{1}{2}(j_{2}+l_{2}+j_{3}-l_{3})}{\frac{1}{2}(j_{1}-l_{1}+% j_{3}+l_{3})}{\frac{1}{2}(j_{1}+l_{1}+j_{2}-l_{2})}{\frac{1}{2}(j_{2}+l_{2}-j_% {3}+l_{3})}{\frac{1}{2}(-j_{1}+l_{1}+j_{3}+l_{3})}{\frac{1}{2}(j_{1}+l_{1}-j_{% 2}+l_{2})}.}}" display="inline"> 6 ⁢ j ⁢ j 1 ⁢ j 2 ⁢ j 3 ⁢ l 1 ⁢ l 2 ⁢ l 3 = 6 ⁢ j ⁢ 1 2 ⁢ ( j 2 + l 2 + j 3 - l 3 ) ⁢ 1 2 ⁢ ( j 1 - l 1 + j 3 + l 3 ) ⁢ 1 2 ⁢ ( j 1 + l 1 + j 2 - l 2 ) ⁢ 1 2 ⁢ ( j 2 + l 2 - j 3 + l 3 ) ⁢ 1 2 ⁢ ( - j 1 + l 1 + j 3 + l 3 ) ⁢ 1 2 ⁢ ( j 1 + l 1 - j 2 + l 2 ) . <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <apply id="p1.1.m1.1.102.2.cmml" xref="p1.1.m1.1.102"> <eq id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/> <apply id="p1.1.m1.1.102.2.1.cmml" xref="p1.1.m1.1.102.2.1"> <times id="p1.1.m1.1.102.2.1.1.cmml" xref="p1.1.m1.1.102.2.1.1"/> <csymbol cd="latexml" id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.2">sixj</csymbol> <apply id="p1.1.m1.1.102.2.1.2.cmml" xref="p1.1.m1.1.102.2.1.2"> <csymbol cd="ambiguous" id="p1.1.m1.1.102.2.1.2.1.cmml" xref="p1.1.m1.1.102.2.1.2">subscript</csymbol> <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑗</ci> <cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">1</cn> </apply> <apply id="p1.1.m1.1.102.2.1.3.cmml" xref="p1.1.m1.1.102.2.1.3"> <csymbol cd="ambiguous" id="p1.1.m1.1.102.2.1.3.1.cmml" xref="p1.1.m1.1.102.2.1.3">subscript</csymbol> <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑗</ci> <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">2</cn> </apply> <apply id="p1.1.m1.1.102.2.1.4.cmml" xref="p1.1.m1.1.102.2.1.4"> <csymbol cd="ambiguous" id="p1.1.m1.1.102.2.1.4.1.cmml" xref="p1.1.m1.1.102.2.1.4">subscript</csymbol> <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑗</ci> <cn type="integer" id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">3</cn> </apply> <apply id="p1.1.m1.1.102.2.…
Symbols used: $$\mathit{6j}$$ symbol
Symbols used: non-negative integers or non-negative integers plus one half.
instance of: Digital Library of Mathematical Functions Formula
MaRDI profile type: MaRDI formula profile