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A recipe for the generalization of the Boltzmann equation to a quantumkinetic equation is given for cases in which only level shift and broadeningare considered, while coherence phenomena can be neglected. We also consider aspecific problem: Hot luminescence from a quantum wire near the threshold foroptical phonon emission. The problem is first discussed within the framework ofthe Boltzmann equation. After pointing out the failure of this description, theBoltzmann equations are generalized to a set of quantum kinetic equations,which in turn are solved in order to describe the luminescence spectra.Comment: 35 pages, REVTeX, with 6 figure

Level broadening effects in quantum kinetic equations: Hot luminescence from a quantum wire near the optical-phonon-emission threshold