Table 4.

Conversion amplitudes in the equation of motion, Eq. (12), from a tensor T_l2,m to a tensor T_l1/,m. The expressions for the negative orders m are identical except for complex conjugation. For brevity, we use the notation J_m = J(mω) here.

m	l1	l2	amplitude
0	1	1	$-\frac{6}{5}(J_1+4J_2)$
0	1	3	$-\frac{18}{5}\sqrt{\frac{2}{5}}(J_1-J_2)$
0	2	2	−6(J1 + J2)
0	3	1	$-4\sqrt{\frac{2}{5}}(J_1-J_2)$
0	3	3	$-\frac{6}{5}(4J_1+J_2)$
1	1	1	$-\frac{3}{5}(3J_0+5J_1+2J_2)$
1	1	2	$-\frac{9}{5}i\sqrt{2}\omega Q$
1	1	3	$-\frac{9}{5}\sqrt{\frac{3}{5}}(J_0-J_2)$
1	2	1	$-\frac{3}{\sqrt{2}}i{\omega }_Q$
1	2	2	−3(J0 + J1 + 2J2)
1	2	3	$-3i\sqrt{\frac{3}{10}}{\omega }_Q$
1	3	1	$-2\sqrt{\frac{3}{5}}(J_0-J_2)$
1	3	2	$-2i\sqrt{\frac{6}{5}}{\omega }_Q$
1	3	3	$-\frac{3}{5}(2J_0+5J_1+3J_2)$
2	2	2	−3(J0 + 2J1 + J2)
2	2	3	$-i\frac{3}{2}\sqrt{3}{\omega }_Q$
2	3	2	$-2i\sqrt{3}{\omega }_Q$
2	3	3	−3(J0 + J2)
3	3	3	−3(J1 + J2)