Time-propagation of the Kadanoff-Baym equations for inhomogeneous systems

Adrian Stan; Nils Erik Dahlen; Robert van Leeuwen

doi:10.1063/1.3127247

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arXiv · 0906.1704

Time-propagation of the Kadanoff-Baym equations for inhomogeneous systems

Adrian Stan·Nils Erik Dahlen·Robert van Leeuwen

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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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Adrian Stan, Nils Erik Dahlen, Robert van Leeuwen. 2009-06-09. Time-propagation of the Kadanoff-Baym equations for inhomogeneous systems. https://doi.org/10.1063/1.3127247

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