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Dynamics of mesoscopic systems: Non-equilibrium Green's functions approach

Publication at Faculty of Mathematics and Physics |
2010

Abstract

We give an overview of the use of NGF for describing non-equilibrium dynamics of mesoscopic system. Special attention is paid to the problem of correlated initial conditions.

An extended reconstruction theorem stating that the complete NGF is specified by the knowledge of the one particle density matrix alone is explained and its use for deriving quantum transport equations in a systematic way is analyzed. A proof is given of the Ward identity including the correlated initial conditions.