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Long and short time quantum dynamics: I. Between Green’s functions and transport equations

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Author:  Vaclav Spickaa, Bedrich Velickya, Andela Kalvova 
















Description 
This paper summarizes the present views on construction of the electron quantum transport equations based on the
NonEquilibrium Green’s Functions approach. The basic tool is the socalled Ansatz decoupling; one Ansatz family stems from the original KadanoffBaym Ansatz and is suitable for extending the quasiparticle picture of the Landau
theory out of equilibrium. The other family based on the Generalized KB Ansatz is appropriate for short time
transients. The physical and formal context of the Ansatzes is analyzed; the most important question explored is the
status of the Reconstruction Theorems, reducing a full description of a nonequilibrium system to a dynamic theory in
terms of oneparticle quantities. A comparison is made between the Time Dependent Density Functional Theory and
the properly renormalized NGF formalism. There is a close relationship between both formalisms. The Reconstruction
Theorems form a general basis for obtaining improved quantum transport equations. 

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