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:

    “Nature is a setting that fits equally well a comic or a mourning piece. In good health, the air is a cordial of incredible virtue. Crossing a bare common, in snow puddles, at twilight, under a clouded sky, without having in my thoughts any occurrence of special good fortune, I have enjoyed a perfect exhilaration. I am glad to the brink of fear.”
    —Ralph Waldo Emerson (1803–1882)

    “I am absurdly fearful about this voyage. Various little omens have combined to give me a dark feeling.... Perhaps we shall live to laugh at these. But in case of mishap I should perish with my husband and child, perhaps to be transferred to some happier state.”
    —Margaret Fuller (1810–1850)