title: Time propagation of the Kadanoff-Baym equations for inhomogeneous systems.
abstract: We have developed a time-propagation scheme for the Kadanoff-Baym equations for general inhomogeneous systems. These equations describe the time evolution of the nonequilibrium Green function for interacting many-body systems in the presence of time-dependent external fields. The external fields are treated nonperturbatively whereas the many-body interactions are incorporated perturbatively using Phi-derivable self-energy approximations that guarantee the satisfaction of the macroscopic conservation laws of the system. These approximations are discussed in detail for the time-dependent Hartree-Fock, the second Born, and the GW approximation.
authors.affiliation: Department of Physics, Nanoscience Center, University of Jyväskylä, Finland. adrian.a.stan@jyu.fi
authors.forename: Adrian
authors.initials: A
authors.lastname: Stan
authors.forename: Nils Erik
authors.initials: NE
authors.lastname: Dahlen
authors.forename: Robert
authors.initials: R
authors.lastname: van Leeuwen