QUANTUM KINETIC-EQUATIONS, MEMORY EFFECTS, CONSERVATION-LAWS

Tn the framework of real-time Green's functions, a general non-Markovi an Boltzmann equation including initial correlations, full time retard ation (memory) and self energy is considered. This equation conserves the total (kinetic plus potential) energy. Two approximations of this very general equation are investigated: (i) the first order expansion with respect to the retardation and (ii) the first Born approximation for the scattering T-matrix (non-Markovian Landau equation). The influ ence of memory and damping effects on the relaxation of the one-partic le distribution and of the kinetic energy is demonstrated by a numeric al analysis.