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

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Adrian Stan, Nils Erik Dahlen and Robert van Leeuwen

Editorial: Journal of Chemical Physics, 130, p.224101, 2009.


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.

Cuvinte cheie: conserving approximations, GW approximation, second order approximation, Hartree-Fock, Second Born approximation, vertex renormalization, self-consistent GW, time-propagation, inhomogeneous systems