6-j Symbol - Special Case

Special Case

When j6 = 0 the expression for the 6-j symbol is:

\begin{Bmatrix} j_1 & j_2 & j_3\\ j_4 & j_5 & 0 \end{Bmatrix} = \frac{\delta_{j_2,j_4}\delta_{j_1,j_5}}{\sqrt{(2j_1+1)(2j_2+1)}} (-1)^{j_1+j_2+j_3}\{j_1,j_2,j_3\}.

The function {j1, j2, j3} is equal to 1 when the triad (j1, j2, j3) satisfies the triangle conditions, and zero otherwise. The symmetry relations can be used to find the expression when another j is equal to zero.

Read more about this topic:  6-j Symbol

Famous quotes containing the words special and/or case:

    “Friendship is learned by watching and listening to you. If she sees that your friends are people you like and trust and don’t pretend with—people who suit you—she probably won’t pick friends who just pass by, or people who can help her or improve her status. If you treat friends in a special way, if you are kinder, more generous, more sympathetic, more forgiving with friends, she probably will be, too.”
    —Stella Chess (20th century)

    “If there is a case for mental events and mental states, it must be that the positing of them, like the positing of molecules, has some indirect systematic efficacy in the development of theory.”
    —Willard Van Orman Quine (b. 1908)