Abstract
A simple excitonic theory is developed for the luminescence process in a 2d degenerate electron gas (DEG) both at zero and finite magnetic fields. The Schrödinger equation for the exciton is derived by treating the electron-hole interaction as a perturbation on the appropriate single particle eigenstates. The solutions give the excitonic enhancement of the luminescence spectrum. It is shown that, in accord with experimental observations, the envelope of the enhancement in the magnetic field is always similar to the zero field spectrum.
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