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:

    “We agree fully that the mother and unborn child demand special consideration. But so does the soldier and the man maimed in industry. Industrial conditions that are suitable for a stalwart, young, unmarried woman are certainly not equally suitable to the pregnant woman or the mother of young children. Yet “welfare” laws apply to all women alike. Such blanket legislation is as absurd as fixing industrial conditions for men on a basis of their all being wounded soldiers would be.”
    —National Woman’s Party, quoted in Everyone Was Brave. As, ch. 8, by William L. O’Neill (1969)

    “Thought is an infection. In the case of certain thoughts, it becomes an epidemic.”
    —Wallace Stevens (1879–1955)