2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/191961Nonequilibrium Green's functions represent underutilized means of studying the time evolution of quantum many-body systems. In view of a rising computer power, an effort is underway to apply the Green's functions formalism to the dynamics of central nuclear reactions. As the first step, mean-field evolution for the density matrix for colliding slabs is studied in one dimension. The strategy to extend the dynamics to correlations is described.6 pages, 3 figures, contribution to the "2nd Workshop on nuclei and mesoscopic physics", NSCL-MSU, October 20-22, 2007Nuclear Theorytext