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:

    There is special providence in the fall of a sparrow. If it be now, ‘tis not to come; if it be not to come, it will be
    now; if it be not now, yet it will come—the readiness is
    all.
    William Shakespeare (1564–1616)

    The definition of good prose is proper words in their proper places; of good verse, the most proper words in their proper places. The propriety is in either case relative. The words in prose ought to express the intended meaning, and no more; if they attract attention to themselves, it is, in general, a fault.
    Samuel Taylor Coleridge (1772–1834)