MODELING OF THE CYCLOTRON TRANSITION THEORY FOR QUASI-2-DIMENSIONAL ELECTRON-SYSTEMS BY THE ISOLATION-PROJECTION TECHNIQUE

Utilizing the isolation-projection technique, we model, within the lin ear response frame, a many-body theory of the cyclotron transition of electrons interacting with phonons and confined by some confinement po tentials. We find that the only difference from the three-dimensional case appears in the energy differences and the pair products of the in teraction matrix elements for the additional confinement potentials. I t is also shown that the transition occurs from the initial state (N,n ) to the final state (N+1, n) through the intermediate state (N',n'), where N is the Landau index and n the quantum number for the additiona l confinement, which implies that the selection rule is given by Delta N = 1 and Delta n = 0.