QUANTUM KINETIC-EQUATIONS WITH 2 PARTICLE CORRELATIONS APPLIED TO AN EXACTLY SOLVED MODEL OF RELAXING ELECTRONS

Quantum kinetic equations (QKE) are used for the description of highly excited electrons in the conduction band of semiconductors in the sho rt time regime. The relaxation process is described with QKE in Born a pproximation and with QKE including two particle correlations. The res ults of the approximations are compared for different particle densiti es with the exact solution of a one-dimensional model of N electrons w ith linear dispersion interacting with optical phonons. Especially the discussion of the processes contributing to the gain peak allows a bu tter understanding: of the approximations.