3.8 Quantum Kinetic Equations

In this section the equations of motion (in real time) for the non-equilibrium GREEN's functions are introduced. There are two different, but equivalent, formulations: the KADANOFF-BAYM and the KELDYSH formulation. These are treated in the following subsections. Finally, kinetic equations under steady-state condition are presented.
Subsections M. Pourfath: Numerical Study of Quantum Transport in Carbon Nanotube-Based Transistors