Generalized Semiconductor Bloch Equations are derived with using the fluctuation-dissipation theorem. Four operator expectation values like density-density correlators are calculated with account of coherent memory effects. Interactions with mixed plasmon-phonons modes and excitonic effects are taken into account. Comparison with different other theoretical approaches is provided. Numerical calculations of the spontaneous radiation produced by interband multiplasmon recombination of electron-hole pairs are fulfilled in dependence on the temperature and plasma concentration. It is shown that the intensity maximum of spontaneous radiation shifted to the region of the first LO- phonon satellite with increasing of concentration in accordance with experiments.
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