QUANTUM TRANSPORT AND NONLINEAR DYNAMICS OF INTERACTING QUANTIZED-FIELDS AND APPLICATIONS TO NANOELECTRONICS AND OPTOELECTRONICS

A non-equilibrium dynamics of interacting quantized fields based on th e Liouville space quantum field dynamics is outlined here. The self-co nsistent treatment of quantum transport given here expresses the theor y in terms of renormalized propagators and renormalized many-body inte ractions. The quantum transport equation for the particle quantum dist ribution function is extracted from the general equation in real time for each particle species in a system consisting of several components . Although it is equivalent to the so-called non-equilibrium Green's f unction theory of Schwinger and Keldysh, it has several technical adva ntages. We suggest a method to implement numerically the self-consiste nt scheme by generalizing the many-body functional methods (e.g. the d ensity functional techniques) in condensed matter physics to highly no n-equilibrium situations. Several important problems in nanoelectronic s and optoelectronics where this formalism is essential are mentioned.