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5. 71)J. The numbers indicate the order of the transitons involve the states of the free electrons (the appropriate optical gaps mentioned above). These features have been emphasized by B u r s t e i n et al. 52,95] in their consideration of resonant light scattering by 2-dim electron systems. 9,66]. ). 96]. 77a) (1/2, - 1/2)" (S),L. 77b) The intermediate states are in heavy, light and (spin-orbit) split-off valence bands. 79a) (3/2, - 1/2). 79b) G. Abstreiter et al. 80a) (1/2, - 1/2): (1/1//5) ( x - i Y)?
69). We find ,/,, ez eff ~"~-~ / ~ (~L' A. 68), for each component of electron spin. lZ> l is the interband matrix element of momentum. 96]. El and E2 are associated with the heavy and light effective mass valence bands, degenerate at the F-point. We can thus write EI -~Ez ~- Eo. 86) where A0 is the spin-orbit splitting of the top valence band states. We note that in the limit E0 >>he)L, this expression tbr A becomes identical to the inverse effective mass tensor of the Kane model, as expected.
68), we are labeling the states by their wavevector k and ignoring their spin quantum numbers. This is possible in the framework of the discussion of the previous section, dealing with spin-independent processes. 67], the scattering of light due to I~)~l/~) electronic excitations, where ~ and fl include spin, by means of the effective Hamiltonian e2 H'fr =~ NA (COL)A(COs). 70) where the coefficients 7~ take into account the H"p and H'ep type processes (Sect. 2). 71) whe:re Ifl'~ are intermediate states.