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Published on: May 1, 2018
Time propagation of the Kadanoff-Baym equations for inhomogeneous systems
Adrian Stan1, Nils Erik Dahlen, Robert van Leeuwen
1Department of Physics, Nanoscience Center, University of Jyväskylä, Finland. adrian.a.stan@jyu.fi
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.
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