For an optical transition in a crystal with T d symmetry between a valence band with 8 symmetry and a conduction band with

For an optical transition in a crystal with T_d symmetry between a valence band with Γ₈ symmetry and a conduction band with Γ₆ symmetry, which states are coupled to each other by left-circular and right-circular polarized light along the zaxis? To answer this, use the Wigner–Eckart theorem; you can use either Table 6.9 or the symmetry tables at the website associated with this book.

Table 6.9 Coupling coefficients for the outer product I'5 T6 in the Ta group [w]) |w) (wo) |w) |wd) -i/6 0 0 i/ 2 1//6 0 0 -i/3 |us)|vo) |us)|vo) -i/3 0 |us)|v) 0 1//3 |u)|v) -1/3 0 |u)|v) i/3 0 0 |u)|v2) 0 -i/3 i2/3 0 -1//2 0 0 -i/2 0 -1//2 0 0 0 0 i/6 0 1/6 i2/3 0